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Expositum De Die Paschae Et Mensis

Julius Hilarianus · ogl-pl

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machine-draft · no human review 19 passages · 4,818 words

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Summary

The Expositum De Die Paschae Et Mensis by Julius Hilarianus is a Latin treatise on the computus for determining the date of Easter and the paschal full moon. Addressed to a certain Deusdedit, it survives in a single 9th-century manuscript from Corbie (Paris, BnF lat. 10399). The work draws on earlier computistical traditions and was used by later medieval computists, including Bede, though Bede does not name Hilarianus. The treatise's attribution is based on a manuscript colophon and internal references; its author may be a pseudonym or conflation. The text includes marginal corrections and interpolations, raising questions about its integrity as a single coherent work.

The Expositum is significant as an early Latin computistical treatise that influenced later medieval Easter calculations, including those of Bede. It provides insight into the development of paschal computus in late antiquity and the Carolingian reception of patristic learning. Its uncertain authorship and manuscript transmission highlight the challenges of studying early Christian technical literature.

Historical context

The treatise is conventionally dated to the late 4th or early 5th century, but the evidence is indirect and the date remains uncertain. It was likely composed in a Latin-speaking Christian community in the western Roman Empire, possibly in North Africa or Italy, where computistical debates were active. The work addresses the calculation of Easter, a central concern in early Latin Christianity, and reflects the Roman calendar system (e.g., dates from March 5 to April 2 for the first lunar day). The text survives in a single 9th-century manuscript copied at Corbie, a major Carolingian scriptorium, and was first printed in the 17th century by Jean Mabillon in his Vetera Analecta. Its transmission is limited, and the manuscript contains marginal corrections and interpolations that may not be authorial. The work's influence on later computists, such as Bede in De temporum ratione, and on the development of Victorian and Dionysian Easter cycles, suggests it was valued in medieval computistical traditions.

Apparatus · what the pipeline recorded

Annotation and terms

107 commentary units 20 term20 background18 structure18 scripture11 caution9 reception4 dating3 sense3 transmission1 parallel 0 derived notes 33 open questions 19 narrative
What the kinds mean

Pipeline notes

  • coverageNo English translation could be identified: a language model asked twice could not name one, though it could not rule one out either. That is not proof that none exists — translations in dissertations, recent books and other modern languages are easily missed.
  • limitThe English is a machine draft produced passage by passage from the transcribed Coptic; no human has verified it. The commentary is model-written and cites only keys the pipeline could resolve.
  • registerRegister: treatise in Latin; the English keeps the liturgical formulae and the vocatives rather than normalising them.
  • structurePassages: 19 narrative.
  • sourceSource edition: ogl-pl — Available under a Creative Commons Attribution-ShareAlike 4.0 International License

Term index

CopticRenderingCountFirst
no glossary terms recorded
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a QUINTI JULII HILARIANI EXPOSITUM DE DIE PASCHAE ET MENSIS. I. In unum, fratres, nonnulli ac servi Dei, de divinis Scripturis ut aliqua tractaremus, saepe convenimus, ibique desiderantibus eis, de PASCHALI CIR- CULO pauca interim locuti, plenam me exhibiturum rationem promisi. Igitur jussio fratrum meum promissum iterum et saepe admonuit, ut illud, quod dudum de ratione Paschae sensim patienterque tractavimus, id jam scripto meo definiretur, hoc est, ut cum non aliud Dominus Deus Moysi quam primum mensem nominarit, et in eo Pascha celebrari praecepit, dicens: Mensis hic initium mensium, primus erit vobis in mensibus anni. Fare itaque ad omnem Synagogam filiorum Israel, ut faciant Pascha, incipientes a quarta decima mensis hujus ad vesperam usque in vicesimam primam (Exod. XII, 2, 3, 18, sec. LXX). Unde vero primus iste mensis incipiat, vel ubi terminum habeat, scriptura divina haud nobis evidentissima responsione declaravit. Cur ergo hodie abs tertio nonarum Martiarum usque in quartum nonarum Aprilium diem luna prima a nobis quaeritur, seu ex e quinto decimo kalendarum Aprilium in septimo decimo kalendarum Maiarum die, ut sit quarta decima, confirmatur. Exinde ubicumque occurrerit dias Paschae, legitime celebramus, sicuti a Patribus nostris celebratum traditumque esse cognovimus.
English
A QUINTUS JULIUS HILARIANUS'S EXPOSITION ON THE DAY OF PASCH AND THE MONTH. I. We have often come together, brothers and fellow servants of God, to treat something from the divine Scriptures, and there, with them desiring it, we have spoken a little about the PASCHAL CYCLE, and I promised that I would present a full account. Therefore, the command of the brothers has again and again reminded me of my promise, so that what we have long treated gradually and patiently concerning the rationale of Pasch might now be defined by my writing, that is, that since the Lord God named to Moses no other month than the first, and commanded that Pasch be celebrated in it, saying: "This month is the beginning of months; it shall be the first for you among the months of the year. Speak, therefore, to the whole Synagogue of the sons of Israel, that they should make Pasch, beginning from the fourteenth of this month at evening until the twenty-first" (Exod. 12:2, 3, 18, according to the LXX). But where this first month begins, or where it has its end, the divine Scripture has not declared to us with a very clear response. Why, therefore, today from the third of the Nones of March up to the fourth of the Nones of April is the first moon sought by us, or from the fifteenth of the Kalends of April up to the seventeenth of the Kalends of May, so that it may be the fourteenth, is confirmed. Thence, wherever the day of Pasch occurs, we celebrate it lawfully, just as we know it was celebrated and handed down by our Fathers.
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Nunc tempus advenit, quo ratione legis oratione mea a affare cuncta ordinanterque discurramus, videlicet retinentes, quod Pascha non a principio mundi, sed a Moyse sacra voce celebrari praeceptum est, et quod mense primum non ut AEgyptii ex quarto kalendarum Septembrium die, aut ut Romani e kalendis Januariis primum suum incipiunt mensem, sed ex divinae legis auctoritate semper, omnique anno luna suo cursu primum nobis generat mensem. Sed mensem istum primum propter Pascha nostrum ut legitime cognoscamus, ad originem mundi certa ratione ire compellimur; ut diem, in quo luminaria facta sunt, vel qualem mundo Deus fecerit lunam, cognoscere possimus, licet in constructione mundi non aliud credendum est, nisi quia Deus omnipotens omnia aequalia, plena perfectaque constituit. II. Demonstrandum est igitur primo cum mundi fabrica inchoaretur, quia sit dies, quem Deus omnipotens creando lucem constituit: in secundis ostendemus, lunam a Deo ad vesperum e qualis profecto sit facta, vel ubinam ejus annus finem accipiat: sic deinde enarrabimus, quare abs III nonarum Martiarum usque in IV nonarum Aprilium diem prima luna a nobis quaeritur, vel ex XV kalendarum Aprilium usque in XVII kalendarum Maiarum diem ad celebrandum integre Pascha XIV requiratur ut omni ex parte praecludatur aditus i liis, qui contradictionibus student, ne in aliquo nos minus rationem j definivisse arbitrentur.
English
Now the time has come when, by the reasoning of the law, we may set forth everything in my discourse in an orderly manner, clearly retaining that Pasch was not commanded to be celebrated from the beginning of the world, but by Moses with a sacred voice, and that the first month is not begun by us as the Egyptians do from the fourth day before the Kalends of September, or as the Romans from the Kalends of January, but by the authority of divine law always, and in every year the moon by its course first generates the month for us. But to know this first month legitimately for the sake of our Pasch, we are compelled by a certain reasoning to go back to the origin of the world; so that we may be able to know the day on which the lights were made, or what kind of moon God made for the world, although in the construction of the world we must believe nothing other than that almighty God established all things equal, full, and perfect. II. Therefore, it must first be demonstrated, when the fabric of the world was begun, what day it is that almighty God established by creating light; secondly, we will show that the moon was made by God in the evening, and of what kind it was indeed made, or where its year ends; then we will relate why from the third day before the Nones of March up to the fourth day before the Nones of April the first moon is sought by us, or from the fifteenth day before the Kalends of April up to the seventeenth day before the Kalends of May the fourteenth moon is required for celebrating Pasch completely, so that from every side the approach is closed to those who strive for contradictions, lest they judge that we have defined anything with insufficient reason.
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III. Cum necdum esset lex ab omnipotente Domino tradita, homines in cursu lunae saepius haesitabant. Alii in orbem plenam, qualis Dei jussu mundo orta fuerat, primam appellabant, alii aliud sentiebant. Menses igitur tantummodo per tricenarium numerum computantes, in trecentis sexaginta diebus cursum duodecim mensium explicabant, sicut tempus illud diluvii Geneseos Scriptura tricenos dies in mense cucurrisse monstratur. Quinque scilicet dies, qui supersunt ad annum finiendum, in memoriam fabricae Dei vacui nominabantur. Quinque enim diebus fabricatus est mundus, homo vero sexto die post omnis factus est, ex quo etiam die ad duodecim percurrendos menses computus ei dierum fuit trecentorum sexaginta in pridie diei illius, quem primo constituit Deus. Quinque deinde vacivi dies fuerunt usque in pridie nativitatis ejusdem hominis, qui primo fictus est, ex qua consuetudine vel traditione sic apud aliquas gentes remansisse cognoscitur, ut apud AEgyptios, qui hos quinque dies vacivos habent, quos appellant. Et ab aliquibus descriptoribus Romanis, qui rationem dicrum scribere voluere, atros intercalaresque fuisse nominati sunt.
English
III. When the law had not yet been handed down by the omnipotent Lord, men very often hesitated in the course of the moon. Some called the full orb, such as had arisen in the world by God’s command, the first; others thought otherwise. Therefore, reckoning the months only by the number of thirty, they completed the course of twelve months in three hundred and sixty days, as the Scripture of Genesis shows that the time of that flood ran with thirty days in the month. The five days, of course, which remain to finish the year, were called empty in memory of God’s work. For the world was made in five days, but man was made on the sixth day after everything, from which day also, for running through the twelve months, his count of days was three hundred and sixty up to the day before that day which God first established. Then there were five empty days up to the day before the birth of that same man who was first formed, from which custom or tradition it is known to have remained among some peoples, as among the Egyptians, who have these five empty days, which they name. And by some Roman writers, who wished to write the reckoning of the days, they were called black and intercalary.
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Nemo igitur priscis temporibus, quia necdum ostenderat Deus cursum solis ac lunae, nemo hominum apprehendebat verni aestatisque tempora, autumni et hiemis metas, crementa o decrementaque dierum ac noctium colligebat, quem suis quoque temporibus haec luminaria imperio Dei explicare usque ad finem temporis jussa sunt. Unde pro tempore Job illum sanctissimum beatissimumque Deus omnipotens inter multa correptionis verba etiam de hoc admonuit, dicens: Et hoc mihi dic, an scias cursum solis et lunae (Job. XXVIII, 19)? Eo quippe tempore, quo a Domino Deo nostro legem Moysi datam esse cognoscimus propter Pascha celebrandum, mensium annorumque rationem per lunae cursum ei tradidit, ut ex neomenia mensem primum seu alios habere potuisset, qui nunc ex legis traditione colligitur, si modo is, qui colligere velit, diligentissime perscrutetur, cui rei nos operam dantes singula exponimus, incipientes, ut diximus; a die primo mundi.
English
Therefore, in ancient times, since God had not yet revealed the course of the sun and moon, no one grasped the seasons of spring and summer, the boundaries of autumn and winter, or gathered the increases and decreases of days and nights, which these luminaries, by the command of God, were ordered to unfold in their own times until the end of time. Hence, in due course, the omnipotent God admonished that most holy and blessed man Job concerning this matter among many words of reproof, saying: "And tell me this: do you know the course of the sun and moon?" (Job 28:19). For at that time when we know the law was given by our Lord God to Moses for the celebration of Passover, He handed over to him the reckoning of months and years through the course of the moon, so that from the new moon he could have the first month or the others, which is now gathered from the tradition of the law, if only he who wishes to gather it examines it most diligently. To this matter we, devoting our labor, set forth each point, beginning, as we have said, from the first day of the world.
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IV. In principio, inquit Moyses, fecit Deus coelum et terram, terra autem erat invisibilis et incomposita, et tenebrae erant super abyssum et spiritus Dei super ferebatur super aquas. Et dixit Deus, fiat lux, et facta est lux. Et vidit Deus lucem, quia bona est, et divisit inter lucem et tenebras. Et vocavit Deus lucem diem, et tenebras vocavit noctem. Et factum est vespere, et factum est mane dies unus. Et divisit Deus inter lucem et tenebras, hoc est, libravit diem et noctem (Gen. I, 1–5, sec. LXX). Ad jussionem enim Dei lux facta ita tenebras intercidit, ut cursus inter utraque aequalis appareret, et exinde jam dies ac nox crementa et decrementa alterna vice susciperent, et tempora demonstrarent. Sicut enim terra et maria omnem animam vivam Deus omnipotens, primo in aetate integra ad genus, nec non et omnes fructus terrae perfectos cum suis seminibus mox jussit educi, sic deinde imprimis lucis ac tenebrarum spatium aequali cursu constituit. Iste igitur dies primus cognoscitur esse, qui in origine factus est, in quo lucem noctemque Dominus Deus fecit aequalem, verni scilicet tempore, quo caput anni esse voluit omnipotens Deus.
English
IV. "In the beginning," says Moses, "God made heaven and earth; but the earth was invisible and unformed, and darkness was upon the abyss, and the Spirit of God was borne over the waters. And God said, 'Let there be light,' and light was made. And God saw the light, that it was good, and He divided between light and darkness. And God called the light day, and He called the darkness night. And evening was made, and morning was made: one day. And God divided between light and darkness, that is, He balanced day and night" (Gen. 1:1–5, according to the Septuagint). For at God's command, the light that was made so cut through the darkness that a course equal between both appeared, and from then on day and night would receive increases and decreases in alternate succession and would mark the seasons. For just as Almighty God first caused every living soul, in its full age and kind, as well as all fruits of the earth complete with their seeds, to be brought forth at once, so He then established the span of light and darkness in an equal course from the beginning. This, therefore, is known to be the first day, which was made at the origin, on which the Lord God made light and night equal, namely at the time of spring, which Almighty God willed to be the head of the year.
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V. Isto igitur tempore fabricavit et mundum. Ante omnia enim tempora etiam tempus istud primo constituere dignatus est Dominus, quod prae caeteris sit blandus, aeris qualitate libratus, quo cuncta terrae nascentia glacialis hiemis torpore defuncto, et laeto hoc verni temporis aere suscepto, in varios diversi generis flores seminaque prorumpunt; ut laudes quodammodo etiam ipsa Domino Creatori fecundis primitiarum fructibus cum hominum festis gratissima suavitatis fertilitate concelebrent, in quo etiam nunc institutus a Domino primus occurrit aequinoctius, qui secundum cognominationem a mensium Romanorum VIII kalendarum Aprilium invenitur. Hinc ergo initium sumentes, universa quae proposuimus, decurremus. VI. De die primo mundi locuti breviter explicuimus. Jam ad lunae rationem veniamus. Transactis enim tribus diebus, quarto die, id est, V kalendarum Aprilium in signis temporibusque, diebus, et annis haud simul luminaria sunt constituta. Licet enim uno die sunt facta, tamen Deus omnipotens, ut clarum nobis efficeret diem· solem mane constituit.
English
V. At this time, therefore, He also fashioned the world. For before all times, the Lord deigned first to establish that very time which is more pleasant than the others, balanced in the quality of the air, in which all things born from the earth, after the torpor of icy winter has ended and the cheerful spring air has been received, burst forth into various flowers and seeds of different kinds; so that even they themselves, in a way, celebrate praises to the Lord Creator with the fertile fruits of the firstfruits, together with the feasts of men, with the most pleasing fertility of sweetness, in which also now the first equinox, instituted by the Lord, occurs, which is found according to the designation of the Roman months on the eighth day before the Kalends of April. Taking our start from here, therefore, we will run through all the things we have proposed. VI. We have briefly explained, speaking about the first day of the world. Now let us come to the reckoning of the moon. For after three days had passed, on the fourth day, that is, on the fifth day before the Kalends of April, the luminaries were established, not simultaneously in signs, times, days, and years. For although they were made in one day, nevertheless Almighty God, in order to make it clear to us, established the sun in the morning.
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Appropinquante igitur nocte in numeros et tempora vario cursu volventem menstrualem instituit lunam: quae luna ad vesperum quarta decima dodran facta est, ea ratione, ut et omnes primae noctis tenebras illustraret, totamque percurreret noctem, et ut homini novo, cui haec Dominus Deus faciebat, sexto die, sicuti jam sol diei factus sit, ita ei aliud opus luna nocti proficiens procedere videretur, ne desertus a lucis exitu, solisque claritate, insperatas seu solas tenebras pateretur. Eo enim tempore lunam talem mane quod oritur, sol respicit in Occidentem, in inchoatione vero noctis post abscessum lucis, consummatosque cursus solis, quae cum virtute lucis suae clypeata luna procedit. Non immerito etiam per Moysen in Exodo Dominus Deus populo suo jussit ex quarta decima luna primi mensis plena ad vesperum usque ad vicesimam primam Pascha debere celebrari. Voluit enim Dominus e hebdomadam Paschae a quarta decima plena ad vesperum habere initium, ut illucescente die Paschae, qui primus est hebdomadis ejusdem quinta decima luna prima eis fuisset dies azymorum. Dominus enim in Levitico declarat, hoc dicens: In primo mense, in quarta decima die mensis, in medio vespertinorum Pascha Domino, et in quinta decima mensis hujus dies festi azymorum Domino (Levit. XXIII, 5, 6, sec. LXX).
English
As night was approaching, therefore, He established the moon, which revolves through numbers and times in a varying course, as a monthly measure: which moon, on the fourteenth day, was made full at evening, for this reason, that it might both illuminate all the darkness of the first night and run through the entire night, and that for the new man, for whom the Lord God was making this on the sixth day, just as the sun had already been made for the day, so another work, the moon, might seem to proceed, benefiting the night, lest he, abandoned by the departure of light and the brightness of the sun, should suffer unexpected or solitary darkness. For at that time, such a moon in the morning, when it rises, the sun looks upon in the West; but at the beginning of night, after the departure of light and the completed courses of the sun, the moon proceeds, shielded with the power of its own light. Not undeservedly also, through Moses in Exodus, the Lord God commanded his people that from the fourteenth moon of the first month, full at evening, until the twenty-first, the Passover ought to be celebrated. For the Lord wished the week of Passover to have its beginning from the fourteenth, full at evening, so that on the day of Passover dawning, which is the first of that same week, the fifteenth moon would be for them the first day of Unleavened Bread. For the Lord declares in Leviticus, saying this: "In the first month, on the fourteenth day of the month, in the middle of the evening, the Passover of the Lord, and on the fifteenth day of this month, the feast of Unleavened Bread of the Lord" (Leviticus 23:5, 6, according to the Septuagint).
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Dies enim lunares vespere incipiunt, et in vespere finiuntur; quoniam luna a Deo ut sua luce propter rudem adhuc hominem noctis tenebras temperaret, a vespere quinto kalendarum Aprilium die nativitatis accepit ortum, et usque in aliam vesperam, id est IV kalendas Apriles primi diei sui exhibuit cursum, quapropter hodie nos lunarem cursum edocti a Deo, retinentes vigilias Paschae initiante vespera celebramus. VII. Exposuimus, luna a Domino qualis sit V kalendas Apriles ad vesperam facta. Nunc et ubi annum suum explicuerit, demonstramus. Iste enim annus caeteris annis terminum posuit. Sed quod menses et annos, ut supra memoravimus, suo cursu luna demonstraret per neomenias, id est, novos ac primo dies mensum, quos generat luna, Dominus Deus sua testatione declarat. Sic enim et scriptum est: Et locutus est Dominus Deus ad Moysen, dicens: In die primo neomeniae mensis primi i dedicabis tabernaculum testimonii (Exod. XL, 1, 2, sec. LXX). Et alio loco, cum de sacrificiis, quando et quomodo offerri deberent, ait: Etiam offeretis sacrificia, et in neomeniis mensis ex mense in mensibus anni (Num. XXVIII, 11, 14, sec. LXX). In libro etiam Regnorum dictum est: Cum se absconderet David, timens regem Saul, et facta sunt neomenia, et intravit Rex ad mensam, ut manducaret, et cum eo soliti convivae venerunt.
English
Lunar days begin in the evening and end in the evening, because the moon, in order to temper the darkness of night with its own light for the sake of man, who was still inexperienced, received its rising from God on the evening of the fifth day before the Kalends of April, the day of its birth, and displayed its course until the following evening, that is, the fourth day before the Kalends of April, the end of its first day. For this reason, we today, instructed by God, retain the lunar course and celebrate the vigils of Easter at the beginning of the evening. VII. We have set forth what the moon was like on the fifth day before the Kalends of April at evening, as made by the Lord. Now we also demonstrate where it completed its year. For that year set a limit for the other years. But that the moon, by its course, indicated months and years, as we recalled above, through the neomeniae, that is, the new and first days of the months, which the moon generates, the Lord God declares by His own testimony. For thus it is written: "And the Lord God spoke to Moses, saying: 'On the first day of the neomenia of the first month you shall dedicate the tabernacle of testimony.'" (Exod. 40:1-2, according to the LXX). And in another place, when speaking about sacrifices, when and how they ought to be offered, it says: "You shall also offer sacrifices, and on the neomeniae of the month from month to month of the year." (Num. 28:11, 14, according to the LXX). In the book of Kings also it is said: "When David hid himself, fearing King Saul, and the neomenia occurred, and the King entered the table to eat, and with him the usual guests came.
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David autem non intravit cum eo, et apparuit locus ejus, et nihil locutus est Saul illo die, et factum est in crastinum in secundo die mensis (I Reg. XX, 24- 26, sec. LXX). In Psalmis quoque dictum est: Lunam posuit Deus in tempora (Psal. CIII, 19). Igitur in viginti novem semis dies lunae explicat mensem. Quapropter? quia non penitus tenuata luce finitur. Caeterum jam aliud opus esset, non id quod primo fecerat omnipotens Deus. Tricesima ergo luna latens in semisse cavatur. Duodecies igitur vicies nonus semis efficiuntur dies trecenti quinquaginta quatuor. VIII. Itaque in V nonas Martias eadem luna annum suum currendo complevit. Hoc per singulos menses anni ipsius lunae probare possumus. Nam primum suum mensem haec luna II idus Apriles consummavit, eo quod eam j plenam Deus mundo fecit, ac procedere jussit. Secundum mensem IV idus Maias explicuit.
English
But David did not enter with him, and his place was empty, and Saul said nothing to him that day; and it happened on the next day, the second day of the month (1 Sam. 20:24–26, according to the LXX). In the Psalms also it is said: "God placed the moon for the seasons" (Ps. 103:19). Therefore, the moon completes its month in twenty-nine and a half days. Why? Because its light is not entirely diminished when it ends. Otherwise, it would be a different work, not what almighty God had first made. Thus the thirtieth moon, hidden in the half-day, is hollowed out. Therefore, twelve times twenty-nine and a half make three hundred fifty-four days. 8. And so, on the fifth day before the Nones of March, the same moon completed its year by running its course. We can prove this for each month of that lunar year. For this moon completed its first month on the second day before the Ides of April, because God made it full for the world and commanded it to proceed. It completed its second month on the fourth day before the Ides of May.
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Tertium vero mensem III idus Junias consummavit. Quartum mensem sexto idus Julias. Quintum mensem V idus Augustas. Sextum mensem VII idus Septembres. Septimum mensem nonas Octobres. Octavum mensem nonas Novembres. Nonum mensem nonas Decembres. Decimum mensem III nonas Januarias. Undecimum mensem IV nonas Februarias. Duodecimum quippe suum mensem V Nonas Martias assignavit, die vero IV nonarum Martiarum post die V nonarum earumdem transactis duodecim lunis, id est, duodecim mensibus apparuit nativitas ejusdem lunae. IX. Proinde in trecentis quinquaginta quatuor diebus luna perexplicat annum, sol vero in trecentis sexaginta quinque et quadran, undecim scilicet dies sunt et quadran, quos quasi minus habere videtur ratio lunae a ratione solis. Sex dies cavaturarum lunae duodecim semisses, et quinque illi, qui in memoriam fabricae Dei, vacivi nominabantur, quos nunc compositio Romana super aliquos menses divisit, quos intercalares nominavit, a et quadrantem illum, quem potius ratio continet solis, qui quadran superputatus, quater per accessus quatuor annorum efficiens assem ad cursum solis accedit bis sexti kalendarum Martiarum. Sed quoniam sol et luna, dies et nox alter in alterius connexam habet disputationem super CCCLIII dies annum lunarem, accedunt hi undecim dies et quadran bissextilis, et sic annus solis habere cognoscitur dies CCCLXV et quadran.
English
The third month, however, ended on the third day before the Ides of June. The fourth month on the sixth day before the Ides of July. The fifth month on the fifth day before the Ides of August. The sixth month on the seventh day before the Ides of September. The seventh month on the Nones of October. The eighth month on the Nones of November. The ninth month on the Nones of December. The tenth month on the third day before the Nones of January. The eleventh month on the fourth day before the Nones of February. The twelfth month, indeed, assigned its own month to the fifth day before the Nones of March, but on the fourth day before the Nones of March, after the fifth day before the same Nones had passed, with twelve lunations completed, that is, twelve months, the birth of that same moon appeared. IX. Therefore, in three hundred fifty-four days the moon completes the year, but the sun in three hundred sixty-five and a quarter; that is, eleven days and a quarter, which the reckoning of the moon seems to have less than the reckoning of the sun. The six days of the moon's hollows, twelve halves, and those five, which in memory of the building of God were called empty, which the Roman arrangement now divided over some months, which it called intercalary, and that quarter, which the reckoning of the sun rather contains, which quarter, counted in addition, four times through the accessions of four years, making an as, approaches the course of the sun on the twice sixth day before the Kalends of March. But since the sun and moon, day and night, have a connected disputation with each other over 353 days for the lunar year, these eleven days and the bissextile quarter are added, and thus the year of the sun is known to have 365 days and a quarter.
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Igitur, quia luna primum suum explicuit annum, id est, in V nonarum Martiarum, III nonarum Martiarum dies ad primum mensem pertinere videtur. X. Sed quoniam divina pietas ita sanxit, ut Paschae solemnitas non aliter quam in primo mense procul dubio celebretur, ea ratione non a IV nonarum Martiarum die propter rationem Paschae prima luna a nobis quaeritur; quoniam in isto die anno ipso primo vertente non assis plenus, sed semis apparuit luna, alia vero die, id est, III nonarum Martiarum in asse pleno prima fuisse cognoscitur. Unde intelligimus, eam nonnisi a IV nonarum Martiarum die, ut rectius nobis III nonas Martias prima possit occurrere, incrementa assis ejusdem lunae ortum ad nativitatem debere tenere. Nunc igitur IV nonas Martias cum occurrerit luna prima, idcirco declinamus, quia in XXIV horas noctis et diei assis ipse conficitur, et de die ultimi mensis anni transacti ejus, qui est V nonas Martias ad assem suum incipit incrementum, et ne ultimo mense initium accrementa luna prima mensis primi habere videatur. Iste dies IV nonarum Martiarum medius a nobis retinetur, ut sit inter die ultimi mensis transacti, et inter III non. Mar. ut luna prima, quae, fuerit III non. Mar. ex die IV non. earum· dem initium habeat accrementum. In eo enim die, id est, in III non. Mar.
English
Therefore, because the moon completed its first year, that is, on the fifth day before the Nones of March, the third day before the Nones of March appears to belong to the first month. X. But since divine piety has decreed that the solemnity of Passover is without doubt to be celebrated in no other way than in the first month, for that reason we do not seek the first moon from the fourth day before the Nones of March on account of the reckoning of Passover; because on that day in that first turning year the moon did not appear full, but half, while on the other day, that is, the third day before the Nones of March, it is known to have been the first in its full form. Whence we understand that it must hold the increments of that same moon’s rise to its birth only from the fourth day before the Nones of March, so that the third day before the Nones of March may more correctly occur to us as the first. Now, therefore, when the first moon occurs on the fourth day before the Nones of March, we decline it for this reason, because that full form is completed in the twenty-four hours of night and day, and it begins its increase from the day of the last month of the past year, which is the fifth day before the Nones of March, to its full form, and lest the first moon of the first month appear to have its increase beginning in the last month. That day, the fourth day before the Nones of March, is retained by us as a middle day, so that it is between the day of the last month past and the third day before the Nones of March, so that the first moon, which was on the third day before the Nones of March, may have its beginning of increase from the fourth day before those Nones. For on that day, that is, on the third day before the Nones of March,
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si fuerit luna prima sine scrupulo anni, et in die primi mensis prima esse invenitur, et de die primi mensis ad nativitatem suam accipit incrementum. XI. Igitur ex die isto III non. Mar. usque in die IV non. April. quaeri a nobis debet, ut sit luna prima, quia in quocumque die ex his XXIX diebus luna prima cum fuerit, inde incipit primus mensis lunaris. Ex die vero XV kal. Aprilium usque in XVII kal. Maiarum e diem legaliter luna ut sit quarta decima, vera ratione firmatur. Hinc namque decurrentes, ubi occurrent dies sacrosanctus Paschae, sane in eodem pridem primo mense, quem luna genuerit, juste ac sine ulla intermissione Pascha facere oportet. Sic enim de ea re Dominus in Exodo testatur et dicit: Diem festum Paschoe observabitis, septem diebus edetis azyma, sicut praecepi tibi per tempus mensis novorum. In eo enim exiisti de terra Aegypti (Exod. XXIII, 15, sec. LXX). Item in Levitico praecepit Dominus et dicit: In primo mense in XIV mensis in medio vespertinorum Pascha Domini, et in XV mensis hujus dies festi azymorum Domino (Levit. XXIII, 5, 6, sec. LXX).
English
If the first moon is found to be without any scruple of the year, and is discovered to be the first on the day of the first month, it receives its increase from the day of the first month to its nativity. XI. Therefore, from that day, the third day before the Nones of March, up to the fourth day before the Nones of April, we must seek so that the first moon may be present, because on whichever day among these twenty-nine days the first moon occurs, from that day the first lunar month begins. From the fifteenth day before the Kalends of April up to the seventeenth day before the Kalends of May, it is legally established by true reasoning that the moon must be the fourteenth. For as we proceed from this point, wherever the sacred day of Easter falls, it is proper to celebrate Easter in that same first month which the moon has generated, justly and without any interruption. For concerning this matter, the Lord testifies in Exodus and says: "You shall observe the feast day of Passover; for seven days you shall eat unleavened bread, as I commanded you, during the time of the month of new grain. For in that month you departed from the land of Egypt" (Exod. 23:15, according to the LXX). Likewise, in Leviticus the Lord commands and says: "In the first month, on the fourteenth day of the month, in the middle of the evening, the Passover of the Lord, and on the fifteenth day of this month, the feast of unleavened bread to the Lord" (Lev. 23:5, 6, according to the LXX).
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Item in Numeris: Locutus est Dominus ad Moysen in deserto Syna anno secundo profectionis eorum ex AEgypto in mense primo, dicens: Dic et faciant filii Israel Pascha in tempore suo, quarta decima die mensis primi ad vespera facies illud secundum tempora, secundum legem suam, et secundum corporationem suam facies illud, Et locutus est Moyses filiis Israel facere Pascha in deserto Syna, et secundum quod proecepit Dominus Moysi, sic fecerunt filii Israel (Num. IX, 1–5, sec. LXX). Et paulo post cum comminatione praecepit Dominus et dicit: Homo qui fuerit mundus, et in via longa non fuerit, et cessaverit facere Pascha, exterminabitur anima illa de populo suo, quia munus Domino nostro non obtulit tempore suo, et peccatum suum accipiet homo ille (Ibid., 13). Item in Deuteronomio Moyses ad populum loquitur, dicens: Observa mensem novorum, et facies Pascha Domino Deo tuo, quia in mense novorum existi de terra AEgypti nocte, et immolabis Pascha Domini Deo tuo (Deut. XVI, 1, 2, sec. LXX). Etiam in libro primo Esdrae apertius scriptum est: Et egit Josias Pascha in Hierosolymis Domino, et immolavit Fasec quarta decima luna primi mensis ad vesperam (I Esdr. I, 1, sec. LXX; Vulg. II Parat. XXV, 1).
English
Again in Numbers: The Lord spoke to Moses in the desert of Sinai in the second year of their departure from Egypt, in the first month, saying: "Speak, and let the children of Israel make the Passover in its time, on the fourteenth day of the first month at evening; you shall make it according to the seasons, according to its law, and according to its ordinance." And Moses spoke to the children of Israel to make the Passover in the desert of Sinai, and according to what the Lord commanded Moses, so the children of Israel did (Num. 9:1–5, according to the LXX). And a little later, with a threat, the Lord commanded and says: "A man who is pure, and has not been on a long journey, and has failed to make the Passover, that soul shall be cut off from his people, because he did not offer a gift to our Lord in its time, and that man shall receive his sin" (Ibid., 13). Again in Deuteronomy, Moses speaks to the people, saying: "Observe the month of new things, and you shall make the Passover to the Lord your God, because in the month of new things you came out of the land of Egypt by night, and you shall sacrifice the Passover to the Lord your God" (Deut. 16:1, 2, according to the LXX). Also in the first book of Esdras it is written more plainly: "And Josiah kept the Passover in Jerusalem to the Lord, and he sacrificed the Phasec on the fourteenth day of the first month at evening" (1 Esd. 1:1, according to the LXX; Vulg. 2 Par. 25:1).
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XII. Sed quid multa discurrimus, cum idem in omnibus scripturis sacris memoratum sit, in primo mense Pascha debere i celebrare. Sed mensem istum primum luna ista tutum terminatumque non habet, ut idem et ipse semper occurrat, sed dies, quos supra memoravimus, XXIX ex III nonarum Martiarum in IV nonarum Aprilium j die, in quibus anno primo transacto a fabrica mundi, primum suum exhibuit mensem, ut cum in uno die ex his fuerit prima, exinde ipsa primum nobis generat mensem. Haec etenim ratio embolysmos et communes annos facit. Si quando enim in duodecimo mense ante III non. Mar. die non. explicitis diebus anni sui, quem superius memoravimus, eadem luna apparuerit prima, tertium decimum mensem necesse est impleat et faciat annum embolysmum. Si anno completo suo tempore competenti, id est, in diebus, qui ad primum mensem pertinere videntur, transactis scilicet duodecim mensibus suis fuerit prima luna, communis annus effectus est. Hi namque XXVIII dies embolysmos et communes annos sic manifestant. Undecim dies sunt ex III non. Martiarum in die iduum earumdem, in quibus prima si fuerit luna, quia post duodecim menses nata videbitur, praeteritos annos communes fuisse ostendit, praesentes vero in quibus nata mensem primum facit, embolysmos designat. Octo dies sunt ex die XVII kal. Aprilium, in die X kal. April.
English
XII. But why do we run about so much, when it is recorded in all the sacred scriptures that the Passover must be celebrated in the first month? But this first month does not have that moon fixed and determined, so that it itself always occurs on the same day, but the days which we mentioned above, the 29th from the 3rd day before the Nones of March to the 4th day before the Nones of April, in which, after the first year from the foundation of the world had passed, it exhibited its first month, so that when it has been the first on one of these days, from then on it itself generates the first month for us. For this reason makes embolismic and common years. For if, in the twelfth month before the 3rd day before the Nones of March, on a day not completing the days of its year, which we mentioned above, the same moon has appeared as the first, it is necessary that it fill a thirteenth month and make an embolismic year. If, at its completed year at the appropriate time, that is, in the days which seem to pertain to the first month, after twelve months have passed, the first moon has occurred, a common year is effected. For these 28 days thus manifest embolismic and common years. There are eleven days from the 3rd day before the Nones of March to the day of the Ides of the same, in which, if the first moon has occurred, because it will be seen to have been born after twelve months, it shows that the past years were common, but the present ones, in which it makes the first month when born, designates embolismic. There are eight days from the 17th day before the Kalends of April to the 10th day before the Kalends of April.
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in quibus luna si apparuerit prima, et praeteritos et praesentes annos communes significat. Decem proinde dies sunt ex VIII kalend. April. in III non. earumdem diem, in quibus si fuerit prima luna, praeteritos annos embolysmos facit, praesentes communes ostendit, qui anni communes habent dies trecentenos quinquagenos quaternos, aut enim undecim dies, minus habet ratio lunae a ratione solis et facit annum communem, aut X et IX transcendit, et facit embolysmum. XIII. Inde per annos singulos hac diversitate dies annorum lunae cum diebus solis, qui in trecentis sexaginta quinque et quadran conficit annum, non sibi concordare videntur. Proinde etiam hoc ostendimus, ut appareat omnibus aequales eos invicem dies habere, et ab initio cursus eorum isto ordine cucurrisse, el damna communium annorum eadem luna in annis embolysmis compensasse. Octo annorum rationem, quae perfecta fore videtur, in medium proferamus. In octo scilicet annos luna quinque annos habet communes et tres embolysmos. Ergo quinquies CCCLIV a faciunt DCLXX, et ter CCCLXXXIV faciunt MCLII; fiunt simul dies duo millia DCCCCXXII. Sic deinde et solis octo annorum summam in unum colliqamus octies CCCLXV quadran. duo millia DCCCCXXII. Ita igitur congregavit solis ac lunae cursus cum diebus suprascriptis.
English
in which if the first moon appears, it signifies both past and present years as common. Therefore, there are ten days from the eighth day before the Kalends of April to the third Nones of the same month, in which if the first moon occurs, it makes the past years embolismic and shows the present years as common. These common years have 354 days; for either the moon's reckoning falls short of the sun's reckoning by eleven days and makes a common year, or it exceeds by nineteen and makes an embolismic year. XIII. Hence, through each year, with this diversity, the days of the lunar years do not seem to agree with the days of the sun, which completes a year in 365 and a quarter. Therefore, we also show this, so that it may appear to all that they have equal days with each other, and that from the beginning their courses have run in this order, and that the losses of common years have been compensated by the same moon in embolismic years. Let us bring forward the reckoning of eight years, which seems to be perfect. In eight years, the moon has five common years and three embolismic years. Therefore, five times 354 makes 1770, and three times 384 makes 1152; together they make 2922 days. Then let us also gather the sum of the sun's eight years: eight times 365 and a quarter makes 2922. Thus, therefore, the course of the sun and moon has been assembled with the days written above.
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XIV. Enarravimus qui sit dies mundi, quem Deus omnipotens creando lucem constituit, et lunam in inchoatione noctis qualis sit facta, vel ubi primum annum suum explicuerit, et quare abs III nonae. Martiar. die prima luna a nobis quaeritur, et ex quibus diebus quartadecima comprehendatur, etiam embolysmorum et communium annorum rationem ad plenam instructionem, ut etiam istum cursum lunae cum diebus Paschae posteri nostri per infinitos annos currentes, et futura tempora facilius ac veridice investigare percurrant, ut quoto kal. idusve foret; ut qui dies vel quota luna primo mense occurrere possit, ut hoc Opusculum nostrum omnibus sine labore sit constitutum, cum et ratio vera superius praemissa sit, et sine labore vel sine offendiculo falsitatis a dubitantibus atque ignorantibus multis dies ipsi Paschae suo quoque tempore cognoscantur. Aliud est enim Pascha nostrum, aliud Judaeorum. Longe etiam aliud est ab ipsis nostrum denique sacramentum, nec sicut illi Pascha Domino celebramus, quod in lectione sequenti clara ratione monstratur.
English
XIV. We have explained what the day of the world is, which Almighty God established by creating light, and what the moon was like at the beginning of the night, or where it first completed its year, and why we seek the first moon from the third day before the Nones of March, and from which days the fourteenth is understood, and also the reckoning of embolismic and common years for full instruction, so that our posterity, running through infinite years and future times, may more easily and truthfully investigate this course of the moon with the days of Easter, so that they may know on which Kalends or Ides it falls; so that they may know which day or which moon can occur in the first month, so that this little work of ours may be established for all without labor, since the true reasoning has been set forth above, and so that the days of Easter themselves may be known in their own time without labor or without stumbling into falsehood by those who doubt and are ignorant. For our Easter is one thing, that of the Jews another. Indeed, our sacrament is far different from theirs, and we do not celebrate the Lord's Passover as they do, which is shown by clear reasoning in the following reading.
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XV. Quinto decimo namque anno imperii Tiberii Caesaris Dominus Christus, cum esset quasi triginta annorum, incipiens a baptismo Joannis accessit. Haec Evangelista. testatur. Uno proinde anno Judaicae genti, ad quam venerat, praedicavit, in quo anno non solum regnum coelorum advenire praedixit, sed et, ut crederent, in virtutibus manifestum se Dominum ostendit, hoc usque in annum sextum decimum imperii Tiberii Caesaris, in quo jam non, ut assolet Judaicae solemnitati agnus ex ovibus, sed ipse pro nobis Dominus immolatus est Christus; ut non ex AEgypto, sed ex mundo et vitiis ejus credentes liberari possimus. Eo quippe anno, ut supputationis fides ostendit, et ratio ipsa persuadet, passus est idem Dominus Christus luna XIV,VIII kal. April. feria sexta. Tertio vero die illucescente feria prima, quae est post Sabbatum Judaeorum, dies dominica, sabbatum scilicet nostrum et verum Pascha, in quo idem Dominus Christus morte devicta resurgendo Pascha nostrum sanctificavit, id est, vivorum et mortuorum a veteris hominis sententia liberationis transitum fecit, ortusque est timentibus Dominum, et credentibus Christo, sol verus justitiae, et sanitas in pinnis ejus.
English
XV. For in the fifteenth year of the reign of Tiberius Caesar, the Lord Christ, when he was about thirty years old, approached, beginning from the baptism of John. The Evangelist testifies to this. Therefore, for one year he preached to the Jewish people, to whom he had come, in which year he not only foretold the coming of the kingdom of heaven, but also, so that they might believe, showed himself to be the Lord manifest in miracles, and this continued up to the sixteenth year of the reign of Tiberius Caesar, in which year, not as is customary for the Jewish solemnity a lamb from the sheep, but the Lord Christ himself was sacrificed for us; so that believers might be freed not from Egypt, but from the world and its vices. For in that year, as the reliability of the calculation shows, and reason itself persuades, the same Lord Christ suffered on the fourteenth day of the moon, on the eighth day before the Kalends of April, on the sixth day of the week. But on the third day, as the first day of the week dawned, which is after the Sabbath of the Jews, the Lord's day, that is, our Sabbath and the true Passover, on which the same Lord Christ, having conquered death by rising, sanctified our Passover, that is, he made a passage of liberation from the sentence of the old man for the living and the dead, and the true sun of righteousness arose for those fearing the Lord and believing in Christ, and health in its wings.
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Unde nos hodie Christiani in memoriam liberationis nostrae jam non ut Judaei in agno occiso, et azymis similae, et in quolibet die, sed ad instar resurrectionis ejusdem Domini nostri feria prima, hoc est, die dominica primum tantummodo mensem ex lege retinentes, quem luna currendo suis numeris gignit, sicut scriptum est: A quarta decima plena ad vesperum usque ad vicesimam primam in azymis sinceritatis et veritatis, mentis scilicet puritate, Pascha Domino celebramus. EPILOGUS. Universa, Deo favente, decurrentes explicuimus, quidquid ad rationem Paschae fuerat dicendum. Jam finem hic faciamus nostro sermoni, consummavimusque hoc laboriosum Opus in die isto III nonarum Martiarum post e consulatum Arcadii IV et Honorii III. Quapropter admonemus cos, qui ante a nobis non emendata haec scripta accipere festinaverunt, ut secundum istum ordinem emendatum Opus habere conentur, ideoque et diem et consules, quod non posuimus primo, nunc huic rationi infiximus, ut exhinc sciat quis emendatum hoc esse Opus.
English
Therefore we Christians today, in memory of our liberation, no longer as the Jews do with a slain lamb and unleavened bread of fine flour and on any day, but after the pattern of the resurrection of our same Lord, on the first day of the week, that is, the Lord’s day, retaining from the law only the first month, which the moon generates by running through its numbers, as it is written: from the fourteenth full moon at evening up to the twenty-first in unleavened bread of sincerity and truth, that is, with purity of mind, we celebrate the Passover of the Lord. EPILOGUE. Having run through everything with God’s favor, we have set forth whatever was to be said concerning the reckoning of Easter. Let us now make an end here to our discourse, and we have completed this laborious work on this day, the third day before the Nones of March, after the consulship of Arcadius for the fourth time and Honorius for the third time. Therefore we warn those who have hastened to receive these writings uncorrected by us, that they should strive to have the corrected work according to this order, and for that reason we have fixed both the day and the consuls, which we did not place at the beginning, now into this account, so that from this anyone may know that this work is corrected.
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Quintus Julius Hilarianus explicuit, emendavit die III nonarum Martiarum Caesario et Attico consulibus.
English
Quintus Julius Hilarianus set this forth and corrected it on the third day before the Nones of March in the consulship of Caesarius and Atticus.
Citation. Tergwame, “Expositum De Die Paschae Et Mensis”, tmp221.tmp221.opp-lat1:1, machine-draft, 2026. https://naxiai.com/christian/works/tmp221.tmp221.opp-lat1#s1
Colophon. Source: ogl-pl · licence: Available under a Creative Commons Attribution-ShareAlike 4.0 International License · model: deepseek/deepseek-v4-flash:floor · provider: Relace · cost: $0.0094 · generated 2026-11-15.