De ortu duodecim signis |
|
|
|
|
|
Thorndike-Kibre 134.7 |
On solar and lunar eclypses |
|
|
|
|
|
Thorndike-Kibre 399.12. |
De duodecim signis |
|
Text on the simultaneous rising and setting of the zodiacal signs inserted usually
within a rota divided in 12 wedge-shaped segments for each of the zodiacal signs.
In some (mostly later) manuscripts the text is written in a simple paragraph. Cf.
Libri computi, I, 6. |
Ariete oriente duabus horis occidit libra |
tunc aquarius inferioris optinet leo. |
|
Thorndike-Kibre 134.7. |
Geometria gerberti |
Gerbert of Aurillac |
|
|
|
|
Bubnov 1899, pp. 48-97. |
Letter to Constantine of Fleury on the abacus |
Gerbert of Aurillac |
|
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|
|
Bubnov 1899, pp. 6-8. — Gerbert of Aurillac. The Letters of Gerbert with His Papal Privileges as Sylvester II. Translated by Harriet Pratt Lattin. New York: Columbia Univ. Press, 1961. |
Practica geometria |
Hugo of St. Victor |
|
|
|
|
Hugonis de Sancto Victore Opera Propaedeutica. Practica Geometriae, De Grammatica,
Epitome Dindimi in Philosophiam. Edited by Roger Baron. Notre Dame, IN: Univ. of Notre
Dame Press, 1966. |
Letter to Constantinus on making a hemisphere |
Gerbert of Aurillac |
|
|
|
|
PL 139, 155-156 —
Bubnov 1899, pp. 25-28. — Gerbert of Aurillac. The Letters of Gerbert with His Papal Privileges as Sylvester II. Tr. Harriet Pratt Lattin. New York: Columbia Univ. Press, 1961 (here pp. 36-39). |
Sententia Abbonis de differentia circuli et speraeDe ratione sphere |
Abbo of Fleury |
Description of the heavens - universe is a sphere with earth in the centre; there
are ten circles - five parallels, two colures, the Milky way, the horizon, and the
zodiac. Explains the evagations of planets, their colours, motions etc. Diagram. |
Studiosis astrologie primo sciendum est per geometricam quid distat inter circulum
et speram |
Si vero nota est aliquis planetarum est. |
|
Thomson, Ron B. “Two Astronomical Tractates of Abbo of Fleury.” In The Light of Nature. Essays in the History and Philosophy of Science Presented to
A.C. Crombie, edited by J.D. North and J.J. Roche, 113–33. Dordrecht: Springer, 1985. —
Borst, Kalenderreform, p. 328. |
Untitled |
Abbo of Fleury |
|
Denique luna totius zodiaci signa puncta partes studioso lectori manifestabit |
similiter de reliquis. |
|
Thomson, Ron B. “Two Astronomical Tractates of Abbo of Fleury.” In The Light of Nature. Essays in the History and Philosophy of Science Presented
to A.C. Crombie, edited by J.D. North and J.J. Roche, 113–33. Dordrecht: Springer, 1985. |
De duplici signorum ortu vel occasu |
Abbo of Fleury |
|
De duplici ortu signorum dubitantes aliquando hac ratione conveni |
Matutino ex ortu hiemalem horrorem, vespertino vernalem adducunt temperiem. |
|
Thomson, Ron B. "Further Astronomical Material of Abbo of Fleury." Medieval Studies 50 (1988): 671-3. |
De quinque circulis mundi |
Abbo of Fleury |
|
Quinque tenent caelum zonae quarum una corusco |
unde etiam fit ut duae zonae frigidissimae sint, ad quas sol numquam accedit. |
|
Thomson, Ron B. "Further Astronomical Material of Abbo of Fleury." Medieval Studies 50 (1988): 671-3. |
De sideribus |
Ps. PriscianusAusonius |
|
Ad boreae partes Arctoi uertuntur et Anguis |
Hinc sequitur Pistrix simul Eridanique fluenta. |
|
Anthologia Latina, I, 2, p. 139, no. 679. |
Aratus Latinus |
|
|
Ostensionem quoque de quibus uidentur oportet fieri |
in annum umquam reliquimus continentem in coelo signum. |
|
Maass, pp. 102-306. |
Anonymus Sangallensis |
|
|
Herodius dicit helicem licaonis fuisse filiam |
absides eius ultima in capricorno est. |
|
Le Bourdellès, Hubert. "De astronomia more christiano." Studi medievali (3rd series)
32 (1991): 385-444. |
Apuleian sphere |
|
Referred to also as Sphere of life and death, Sphere of Petosiris. Attributed to Apuleius,
Nechepso, Petosiris and others. In some version the diagram is preceeded by a letter
from Petosiris to the Pharaoh Nechepso. |
|
|
|
Chardonnens, S. Anglo-Saxon Prognostics, 900-1100: Study and Texts, pp. 181-222. — Fuentes González, P. "Néchepso-Pétosiris." In R. Goulet (ed.), Dictionnaire des Philosophes
Antiques, vol. IV. Paris: CNRS, 2005, p. 601-615. |
Aratea |
Avienus |
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Aratea |
Cicero |
|
E quibus hunc subter possis cognoscere fultum |
Hanc autem totam properant depellere Pisces. |
|
Cicéron, Les Aratea. Ed. by Victor Buescu. Paris: Les Belles Lettres, 1941. — Marcus Tullius Cicero. Aratea. Fragments Poétiques. Ed. by Jean Soubiran. Les belles
lettres, 1972. — Online PHI Latin Texts
|
Arati ea quae videntur |
|
Part from Aratus Latinus and Revised Aratus Latinus |
Ostensionem quoque de quibus videntur oportet fieri |
ut nihil te latere possit, quorum ab eo dicta sunt. |
|
Maass, pp. 102-126. |
Astronomica |
Manilius |
|
Carmine divinas artes et conscia fati |
totus et accenso mundus flagraret Olympo. |
|
|
Martyrologium |
|
|
Bissena mensium uertigine uoluitur annisPrima dies iani est qua circumciditur agnus |
Ter nonas idus decurrens atque kalendas.Silvestrem pridias celebramus ab orbe colendum. |
|
Ed. in Baker and Lapidge 1995, p. 384. — Beda. Opera quae supersunt omnia. Vol 1. Ed. by J. A. Giles. London, 1843, pp. 50-53. |
Carmen de eclipsibus |
Sisebut |
|
|
|
|
Fontaine, J. Isidore de Séville. Traité de la nature; suivi de l'épître en vers du roi Sisebut
à Isidore. Bordeaux: Féret et fils, 1960 (here pp. 329-335). |
Chronica |
Isidore |
|
Brevem temporum per generationes et regna primus ex nostris Iulius Afticanus |
tunc illi consummatio saeculi est. |
|
Clavis 1205. —
MGH Auct. ant., XI, pp. 424-481. —
PL 83, 1017. |
Chronica minora |
Bede |
Excerpted from De temporibus cap. 16-22. |
|
|
|
Clavis 2273. — Bede. Opera Didascalica. Edited by Charles Jones. CCSL, 123 C. Turnhout: Brepols,
1980. Pp. 601-611. |
Chronica maiora |
Bede |
Cap. 66-71 of De temporum ratione
|
De sex huius mundi aetatibus ac septima uel octaua quietis uitaeque caelestis |
sudores aeternam cuncti caelestiam praemiorum mereamur accipere palmam. |
|
Bede. Opera Didascalica. Edited by Charles Jones. CCSL, 123 B. Turnhout: Brepols,
1977. Pp. 263-460.
|
Series annorum mundi secundum antiquos patres |
|
Named Die nordwestfränkische Weltjahreszählung von 809 or Series annorum mundi secundum antiquos patres (= Ser.ant.) by Borst. |
Eusebius Caesariensis episcopus dicit sunt anni ab adam usque ad diluvium duo milia
ducenti quadraginta duo |
|
|
Borst, Schriften, 2, pp. 1009-1020
|
Series annorum mundi nova |
|
Named Die ostfränkische Ahnentafel von 807 or Series annorum mundi nova (= Ser.nov.) by Borst. |
Aetas prima. Adam cum esset centum triginta annorum genuit Seth. Sed autem habens
annos centum quinque genuit Enos |
Sunt autem totius summae ab origine mundi anni usque in praesentem annum octingentesimum
decimum incarnationis Domini quattuor milia septingenti quinquaginta novem. |
|
Borst, Schriften, 2, pp. 951-1008
—
As Laterculus bedanus edited in
MGH Auct. ant. XIII, pp. 346-354. |
The Collatio Alexandri et Dindimi |
|
|
Sepe ad aures meas fando peruenit rationem uitae |
quia donata repudias, aut invidiae, quod a meliore praestantur. |
|
Pritchard, T. "The Collatio Alexandri et Dindimi: A Revised Text," Classica et Mediaevalia
46 (): 255-283 (not using this manuscript). — Steinmann, M. "Die Collatio Alexandri et Dindimi – eine annotierte Arbeitsbibliographie,"
Göttinger Forum für Altertumswissenschaft 4 (2001) 51-84
— Cary, G. "A Note on the Medieval History of the Collatio Alexandri cum Dindimo," Classica
et Mediaevalia, 15 (1954): 124-9. — Ross, D. J. A. "A Check-list of MSS of Three Alexander Texts: The Julius Valerius
Epitome, the Epistola ad Aristotelem and the Collatio cum Dindimo" Scriptorium 10
(1956): 127-132. |
Boethius |
|
|
|
|
PL 64, 71-158. |
Calcidius |
|
Timaeus Platonis et a ueteris difficilis habitus atque existimatus est ad intellegendum |
|
|
Chalcidius. Commentaire Au Timée de Platon. Edited by Béatrice Bakhouche. Histoire
Des Doctrines de L’antiquité Classique 42. Paris: Vrin, 2011. — Timaeus a Calcidio translatus commentarioque instructus in societatem operis coniuncto.
Edited by Jan H. Waszink. London: The Warburg Insitute, 1962. |
Rufinus |
|
|
|
|
Ed. Keil. Grammatici latini. Vol. 6,2, pp. 554-78. |
Macrobius |
|
Inter Platonis et Ciceronis libros quos de re publica uterque constituit |
quo universa philosophiae continetur integritas. |
|
Ambrosii Theodosii Macrobii Commentarii in somnium Scipionis Macrobius, Ambrosius
Theodosius. Leipzig: Teubner, 1963. — Corpus corporum. — DigilibLT
|
Computus vulgaris qui dicitur Ephemeris |
Abbo Floriacensis |
Best manuscript Berlin, SB, Phillipps 1833. |
|
|
|
PL 90, 727D-858. — Engelen, Eva-Maria. Zeit, Zahl und Bild. Studien zur Verbindung von Philosophie und Wissenschaft bei Abbo
von Fleury. Berlin: de Gruyter, 1993. —
Borst, Kalenderreform, p. 326-27. |
De arithmetica libri iduo |
Boethius |
|
(Praefatio Boetii domino suo patricio Symmacho) In dandis accipiendisque muneribus
ita recte officia inter eos praecipue |
|
|
PL 63, 1079 - 1167A. |
De institutione musica |
Boethius |
|
|
|
|
|
Liber de geometria |
Boethius |
|
|
|
|
PL 63, 1352 - 1364D. |
De natura rerum |
Isidore |
|
|
|
|
Fontaine, Jacques. Isidore de Séville: Traité de la nature; suivi de l’Épître en vers du roi Sisebut
à Isidore. Bibliothèque de l’École des Hautes Études Hispaniques 28, Bordeaux: Féret, 1960. — PL 83, 963-1018A. |
De ortu et obitu patrum |
(Ps.) Isidore |
|
|
|
|
PL,
|
Dies egyptiaci |
|
|
|
|
|
|
Epistola ad Carolum Magnum de duplici solis eclipsi anno 810 |
Dungal |
|
|
|
|
MGH Epp. IV, pp. 570-578. |
Geometry I |
Pseudo-Boethius |
There is no complete edition of the Geometry I; the partial editions are listed in Folkerts 1982. |
Geometria est disciplina magnitudinis immobilis |
|
|
Folkerts, Menso. Euclid's Elements in the middle ages. — Folkerts, Menso. "Die Altercatio in der Geometrie I des Pseudo-Boethius. Ein Beitrag
zur Geometrie im mittelalterlichen Quadrivium." In: Fachprosa-Studien. Beiträge zur mittelalterlichen Wissenschafts- und Geistesgeschichte, ed. G.Keil, 84-114 (esp. pp.88-89). Berlin: Erich Schmidt, 1982. Reprinted in Folkerts,
Menso. Essays on early medieval mathematics, VII. Aldershot: Variorum, 2003. |
Geometry II |
Pseudo-Boethius |
For the manuscript transmission see Folkerts, Menso. Euclid's Elements in the middle ages
|
Quia vero, mi Patrici, geometrum exercitissime |
|
|
Folkerts (1970). |
De architectura |
Vitruvius |
|
Cum divina tua mens et numen, imperator Caesar, imperio potiretur orbis terrarum invictaque
virtute |
uti totum corpus omnia architecturae membra in decem voluminibus haberet explicata. |
|
Vitruvius: Ten Books on Architecture. Translated by Ingrid D. Rowland. Cambridge University
Press, 1999. — Vitruvius. De L’architecture. Edited by Jean Soubiran. Second edition. Paris: Les belles lettres, 2003. — Online text in LacusCurtius. |
De arithmeticis propositionibus |
Ps. Bede |
|
Quo modo numerus a quolibet animo conceptus quis sit |
iunge III minus et VII minus, fiunt X minus. |
|
Folkerts, Menso. “De Arithmeticis Propositionibus. A Mathematical Treatise Ascribed
to the Venerable Bede.” In Essays on Early Medieval Mathematics, by Menso Folkerts,
III. 1–30. Aldershot: Variorum, 2003. |
De astronomia |
Hyginus |
|
Etsi te studio grammaticae artis inductum |
cum sol ab aestiuo circulo redit
|
|
Hygini. De astronomia. Ed. by Ghislaine Viré. Leipzig: Teubner, 1992. — Hygin. L'astronomie. Ed. by Le Boeuffle. Paris: Les belles lettres, 1983. — Online on PHI Latin Texts
|
De astronomia more christiano |
|
|
Hae fisicae partes quae astronomia et astrologia dicuntur, dum deest mathematica |
de ceteris astronomicis conscribere signis. |
|
Le Bourdellès, Hubert. "De astronomia more christiano." Studi medievali (3rd series)
32 (1991): 385-444. |
De computo |
Hrabanus Maurus |
|
|
|
|
Hrabanus Maurus. Martyrologium. Liber de Computo. Edited by Wesley M. Stevens. CCCM 44. Turnhout: Brepols, 1979. —
Borst, Kalenderreform, p. 322. |
De computo dialogus and De divisionibus temporum |
(Ps.) Bede |
|
|
|
|
PL 90, 641-648. — Jones, Charles William. ‘Bedae Pseudepigrapha: Scientific Writings Falsely Attributed
to Bede’. In Jones, Bede, the Schools and the Computus, 1–154, esp. p. 48-51. Variorum,
1994. |
De creatione mundi |
Wandalbert von Prüm |
|
De uno et trino deo Simplex, purus et unus |
Vitae fonsque fovebit. |
|
PL 121, 0635A |
De cursu stellarum ratio |
Gregory of Tours |
|
Plerique philosophorum dum studiis |
|
|
Clavis, 1025. |
De die natali |
Censorinus |
|
|
|
|
M. Olsen, L'étude des auteurs classiques latins aux xie et xiie siècles, IV. 2, p.
114, 332. |
De figuris numerorum |
Priscianus |
|
|
|
|
GL III 2, 405-17. — Entry in Mirabile. |
De metris fabularum Terentii |
Priscianus |
|
|
|
|
GL III 2, pp. 418-29. |
Praeexercitamina |
Priscianus |
|
|
|
|
GL III 2, pp. 430-440. |
De gubernatione dei |
|
|
|
|
|
|
Institutiones |
Cassiodor |
|
|
|
|
|
De mensura astrolabi |
Hermannus Contractus |
|
|
|
|
Edited from Munich, BSB, Clm 14836 in Drecker, J. "Hermannus Contractus über das Astrolab." Isis 16:2 (1931): 200-219.
—
Borst, Kalenderreform, p. 331-32. |
De nominibus duodecim mensium |
Wandalbert von Prüm |
|
Nominibus mensum quae sit rationis origoQuem primum mensem servari Iulius anni |
Maxima Agrippinae veteris quis moenia praesunt. |
|
|
De duodecim signis |
|
Text divided in twelve section for each zodiacal sign; the explanation for the names
of the twelve zones are not mythological. Then on the name of constellations based
on Isidore, Etym. III, 71 (De nominibus stellarum); reproach to these fabulis mendacissimis
foedicissimisque. |
Regionem duodecim caeli in qua sol cursum suum dirigit |
ac si numquam fuissent audita vel scripta penitus omittenda, quae diabolicus error
confirmavit sed christus dominus salvator mundi evertit. |
|
Vogels, J. (ed.). Scholia in Ciceronis Aratea aliquae ad astronomiam pertinentia e
codice Musei Britannici Harleiano 647. 1884. |
On the celestial circles and the postiton of the constellations |
|
|
Spera fiat omni parte equalis et rotunda |
leua manu ipsius serpentis pectus stringens flexuosu. |
|
|
De nuptiis Philologiae et Mercirii |
Martianus Capella |
|
Tu quem psallentem thalamis, quem matre Camena progenitum perhibent, copula sacra
deum |
secute nugis, nate ignosce lectitans. |
|
Martianus Capella. De nuptiis philologiae et mercurii. Edited by James Willis. Leipzig:
Teubner, 1983. — Martianus Capella. Martianus Capella and the Seven Liberal Arts. Vol. 2, The Marriage of Philology and Mercury. Translated by William H. Stahl and Richard Johnson. New York: COlumbia University
Press, 1977. |
De nuptiis Philologiae et Mercurii. Book VIII. De astronomia |
Martianus Capella |
|
Quae dum geruntur et deorum sacer senatus illos numerorum concinentium repugnantiumque
admiratur anfractus |
importat radius Solis affulgens, qui eos percutiens aut in sublime
|
|
Martianus Capella. De nuptiis philologiae et mercurii. Edited by James Willis. Leipzig:
Teubner, 1983. — Martianus Capella. Martianus Capella and the Seven Liberal Arts. Vol. 2, The Marriage of Philology and Mercury. Translated by William H. Stahl and Richard Johnson. New York: COlumbia University
Press, 1977. |
De ratione computi |
Ps. Bede |
PL 90, 590B-D, Cap. XII De signifero circulo et solis lunaeque cursu:
Zodiacus circulus constat ex duodecim signis, per quem septem sidera errantia curuunt,
id est Sol, Luna, Mars, Mercurius, Jupiter, Venus, Saturnus. Quae quidem signa simul
habent partes trecentas sexaginta, singulatim vero triginta. Partes autem zodiaci
quotidianos solis in coelo debemus sentire progressus. Signa tantae sunt magnitudinis,
ut non minore quam duarum spatia horarum, vel oriri, vel occidere, vel de loco possint
moveri. Singulis tricenae partes, ob trecenos dies, quibus a sole lustrantur, ascribuntur
decem et semis horae, plus sunt quam plenam partem viginti quatuor horarum, non reddunt
simul, et computari negliguntur. Attamen ex ipsae duodecies circumactae, ubi dies
quinque, et quadrantem consummaverint. Iam quantum ad tricenas partes addiderint,
patebit, completusque solis annus non trecentis solum et quadraginta diebus, sed additis
quinque diebus, et quadraginta perficitur. Unde signifer est, trecentis quidem sexaginta
quinque partibus latis. Harum duas medias sol et luna viginti septem diebus et octo
horis lustrant. Singula autem signa sol triginta diebus, et denis horis ac semisse.
Luna autem in binis diebus et semis horis ac besse unius horae perlabitur. Si quaeris
quid besse significet, tanto minus abesse ab integra hora, quanto octava ab duodecima,
decima a decima quinta, vigesima a trigesima. Tertia parte subtracta, quoties duae
solae remanent, ipsae duae partes besse, tertia triens nuncupatur. Errant ergo qui
lunam trecentis diebus tantum spatii coelestis, quantum trecentis sexaginta solem
percurrere dicunt. Cum manifeste veritas prodat quae supra perstrinximus, lunam viginti
septem diebus, et tertia diei parte constat conficere solem: et quantum spatii in
uno suo mense lunam, tantum in tredecim sui sol excedere circuitum. |
Cap. 1. De tempore. Unde dicta sunt tempora? Tempora sunt dicta a temperamento |
|
|
PL, 90, 579A-600 |
De ordine ac positione stellarum in signis |
|
|
Est quidem hic ordo et positio siderum, quae fixa caelo plurium coaceruatione stellarum |
Anticanis habet stellas III. |
|
Dell’Era, Antonio. Una “caeli descriptio” d’età carolingia. Quaderni della Facoltà
di magistero dell’Università di Palermo. Serie di filologia latina. Palermo, 1974. —
Borst, Schriften, Vol. 3, pp. 1251-60. |
De orthographia |
Bede |
|
|
|
|
Bede. Opera Didascalica. Edited by Charles Jones. CCSL, 123 A. Turnhout: Brepols,
1975. Pp. 7-57. |
Carmen de ponderibus et mensuris |
Remius Favinus |
Also sometimes ascribed to Priscianus. |
Pondera Paeoniis veterum memorata libellis |
Haec eadem in reliquis poteris spectare metallis. |
|
Remmius Favinus. Gedicht über Gewichts- und Maßeinheiten. Carmen de ponderibus et mensuris. Ed. by Klaus Geus. Oberhaid: Utopica, 2007. |
De rerum natura |
Lucretius |
|
|
|
|
Munk Olsen, L’ étude 4,2, p. 120. |
De signis coeli |
Ps. Bede |
|
Helix, quae et Arcturus maior. Habet autem in capite stellas obscuras VII |
Candido colore et ualde splendens peragit CCCXLVIII diebus signiferum cursum suum
complens. |
|
Dell'Era, Antonio. "Una rielaborazione dell'Arato latino," in: Studi Medievali 20
(1979): 269–301. |
De XII signis ex quibus causis nomina acceperuntDe causis quibus nomina acceperunt duodecim signa |
(Ps.) Bede |
Often followed by the verses De sideribus. |
Signa duodecim vel a causis annalibus vel a gentium fabulis nomina sumpserunt |
Singuli igitur menses sua signa habet: Aprilis signum Arietis Martius Piscium. Sic quidam ueterum uersibus explicauit. |
|
Bede. Opera Didascalica. Edited by Charles Jones. CCSL, 123 C. Turnhout: Brepols,
1980. Pp. 665-67. — Jones, Charles W. Bedae Pseudepigrapha: Scientific Writings Falsely Attributed to
Bede. Ithaca, New York: Cornell University Press, 1939. Pp. 102-3. |
De signis (interpolated version) |
|
|
Quidam tamen multa dicunt et alii aliter narrasse celum diuersis proferentes uocabulis
sed ipse magis axe continetur quam se continui indemetipso reuoluitur. Habet autem
undique inponderata per medium terre in circuitum celi equalem deductum |
|
|
|
De temporibus |
Bede |
|
Tempora momentis horis diebus mensibus annis saeculis et aetatibus dividuntur |
Reliquum sextae aetatis deo soli patet. |
|
Bede. Opera Didascalica. Edited by Charles Jones. CCSL, 123 C. Turnhout: Brepols,
1980. Pp. 585-611. — Calvin B. Kendall, and Faith Wallis, trans. Bede: On the Nature of Things and On
Times. Liverpool: Liverpool University Press, 2010. —
Clavis, 2318. |
Epistola ad Pleguinam |
Bede |
|
Fratri dilectissimo et in christi uisceribus honorando Pleguinae, Beda in domino salutem |
Dominus autem omnipotens fraternitatem tuam sospitem conseruare dignetur. |
|
Bede. Opera Didascalica. Edited by Charles Jones. CCSL, 123 C. Turnhout: Brepols,
1980. Pp. 617-26. |
De temporum ratione |
Bede |
|
De natura rerum et ratione temporum duos quondam stricto sermone libellos discentibus |
quando uel quales fuerint euidentius agnoscant (cap. LXV).sudores aeternam cuncti caelestiam praemiorum mereamur accipere palmam (cap. LXXI). |
|
Bede. Opera Didascalica. Edited by Charles Jones. CCSL, 123 B. Turnhout: Brepols,
1977. Pp. 263-460.
— Wallis, Faith, trans. Bede: The Reckoning of Time. Liverpool: Liverpool University
Press, 1999. —
Clavis, 2320. |
De natura rerum |
Bede |
|
Naturas rerum uarias labentis et aeui perstrinxi titulis, tempora lata citis |
atque inde Africa a meridie usque ad occidentem extenditur. |
|
Bede. Opera Didascalica. Edited by Charles Jones. CCSL, 123 A. Turnhout: Brepols,
1975. Pp. 173-234. — Calvin B. Kendall, and Faith Wallis, trans. Bede: On the Nature of Things and On
Times. Liverpool: Liverpool University Press, 2010. —
Clavis 1343. — Entry in Mirabile. |
De bello civili |
Lucanus |
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Orestis tragoedia |
Dracontius |
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De flexibus digitorum |
|
|
Romana computatio ita digitorum flexibus seruatur: Per primum digitorum trium in leua |
e regione interpositae sed ante aures retro respicientes. |
|
Bede. Opera Didascalica. Edited by Charles Jones. CCSL, 123 C. Turnhout: Brepols,
1980. Pp. 671-72. |
EtymologiaeOriginesEthimologiarum libri XX |
Isidore |
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Excerptio Abbonis ex Higino de figuratione signorum |
Abbo of Fleury |
|
Denique ut dicit plinius inter omnia sunt LXXII signa |
cuius et gubernaculum et rectam puppim secans ad octauam partem cancri redit. |
|
Hasper, L.W. (ed.) Hyginus philosophus. De imaginibus coeli. Leipzig, 1861. |
Quem circulum unumquodque signorum tangat |
|
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A capite draconis tangit dextrum pedem engonasi |
ultimam partem sagittae. |
|
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Excerptum de astrologia |
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Duo sunt extremi vertices mundi |
ad ipsum usque decurrit accipiens. |
|
Borst, Schriften, Vol. 3, pp. 1243-50.. |
Musica disciplina |
Aurelianus Reomensis |
|
|
|
|
Aureliani Reomensis Musica disciplina. Ed. Lawrence Gushee. Corpus scriptorum de musica,
vol. 21. Rome: American Institute of Musicology, 1975, 53–135. — Thesaurus musicarum latinarum. |
Flores epitaphii sanctorum |
Theofridus Epternacensis |
Composed 1098-1105 in the Abbey Echternach, dedicated to Archbishop Bruno of Trier. |
|
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Fragmenta Censorini |
Ps. Censorinus |
|
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|
Censorinus. De die natali liber. Accedit anonymi cuiusdam epitoma disciplinarum (fragmentum
censorini). Ed. by Klaus Sallmann. Leipzig: Teubner, 1983. |
Aratea |
Germanicus |
|
Ad ioue principium magno deduxit aratus |
Haec eadem tibi signa dabunt non inrita pisces. |
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Filocalus calendar |
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Divjak, Johannes und Wolfgang Wischmeyer (Eds.): Das Kalenderhandbuch von 354 - Der Chronograph des Filocalus. 2 Vols. Vienna: Holzhausen, 2014.
|
Haec pictura docet quicquid recitauit Hyginus |
|
|
Haec pictura docet quicquid recitauit Hyginus |
|
|
Ed. Riese, Anthologia latina, II, pp. 221-3, no. 761. |
Naturalis historia |
Gaius Plinius Secundus |
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Horologium |
Wandalbert von Prüm |
short opening and six sections each addressing two months (having equal shadow values) |
Quos cursu solis iungunt sua tempora mensesLinea quae Iani prima est pariterque Decembris |
Humani ignaris monstrat quas corporis umbra.Hinc centro torrens ternos sibi sexta retentat |
|
PL 121 0631D
|
|
|
Non est pretermittendum cum dixit de natura rerum |
idest CCma XXXV pars XLVII semis momentorum. |
|
Jones, Charles William. ‘Bedae Pseudepigrapha: Scientific Writings Falsely Attributed
to Bede’. In Jones, Bede, the Schools and the Computus, 1–154, esp. 95-102. Variorum,
1994. |
In quo signo versetur mars |
|
The work offers a method to calculate the longitude of the five planets without the
need of observation or manipulation of astronomical tables. Since one knew the position
of the planets during the Creation, one needed just to calculate the time elapsed
since Creation and do the neccessary multiplication. |
In quo signo uersetur Mars: annis ab initio mundi per senarium divisis et annorum
hunc numerum excedentium mensibus |
Sin autem prima partitio duodenario concludatur, in Virgine memoratum semper inueniri
planetam. |
|
David Juste, "Neither Observation nor Astronomical Tables: An Alternative Way of Computing
the Planetary Longitudes in the Early Western Middle Ages," in Studies in the History
of the Exact Sciences in Honour of David Pingree, Leiden-Boston, MA 2004, pp. 181-222,
with editioin in the appendix (pp. 216-217). — Entry in Mirabile. |
Opusculum Itaque stella veneris et mercurii |
(Ps.) Bede |
|
Itaque stella veneris et mercurii hoc a superioribus tribus planetarum stellis differunt |
sed quia ulteriores et idcirco longiores aetheris metas peragat. |
|
Bede. Opera Didascalica. Edited by Charles Jones. CCSL, 123 C. Turnhout: Brepols,
1980. P. 658. —
Clavis, 2323a. —
Thorndike-Kibre 797.7. |
De actibus apostolorum |
Arator |
|
|
|
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|
De apsidibus planetarum |
(Ps.) Bede |
|
Circulus zodiacus qui XII signis constat omni ex parte aeque vicinus est terrae |
Et VIIma ut tamen decies revolutus non LXXX sed potius LXX dierum numerum reddat. |
|
Bede. Opera Didascalica. Edited by Charles Jones. CCSL, 123 C. Turnhout: Brepols,
1980. P. 659. —
Thorndike-Kibre 224.14. |
De musica |
Augustine of Hippo |
|
|
|
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Disputatio de rhetoricaDe rhetorica et virtutibus |
Alcuin |
|
Qui rogo civiles cupiat cognoscere moresQuia te, venerande magister Albine, Deus adduxit |
si modo macula livoris legentem non corrumpit. |
|
PL 101, 919-946. |
Disputatio de dialecticaDe dialectica |
Alcuin |
|
Quia mentionem philosophiae in priore disputationis nostrae sermone fecimus |
ut Socrates disputat; Socrates non disputat. |
|
PL 101, 950-976. |
Argumentum ad inveniendam XIIII lunam |
|
|
Sume regulares XXXVI quas mense Martis apponere debes |
debes reliquium per septenos multiplicare. |
|
Bede. Opera Didascalica. Edited by Charles Jones. CCSL, 123 C. Turnhout: Brepols,
1980. P. 659. |
Instructionum liber |
Eucherius Lugdunensis |
|
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PL, 50, 773A-822D. |
Timaeus |
Cicero |
|
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Online text in forum romanum. |
In Sallustium |
Ps-Cicero |
|
|
|
|
Loeb 462, pp. 372-391. — Novokhatko, Anna. The Invectives of Sallust and Cicero. Critical Edition with Introduction,
Translation, and Commentary. Berlin: Walter de Gruyter, 2009 |
In Ciceronem |
Ps-Sallustius |
|
|
|
|
Novokhatko, Anna. The Invectives of Sallust and Cicero. Critical Edition with Introduction,
Translation, and Commentary. Berlin: Walter de Gruyter, 2009 — Text in LacusCurtius
|
Servius |
|
|
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digilibLT
|
Laterculus |
Polemius Silvius |
|
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|
Clavis 2256. |
Letter to Wicthede |
Bede |
|
Reverentissimo ac sanctissimo fratri VVichtedo presbytero, Beda optabilem in domino
salutem |
aut ante aequinoctium fuisse confirmet. [Bene uale semper in domino dilectissime frater.] |
|
Bede. Opera Didascalica. Edited by Charles Jones. CCSL, 123 C. Turnhout: Brepols,
1980. Pp. 635-642. — Wallis, Faith, trans. Bede: The Reckoning of Time. Liverpool: Liverpool University
Press, 1999. Pp. 417-424. —
Clavis, 2321. |
Alchandreana (corpus) |
|
The corpus consists of: Liber Alchandrei (=Mathematica Alhandrei), Epistola Argafalou,
Breviarium, Benedictum, Quicumque, Proportiones, In principio and a few other fragments. |
|
|
|
Juste, David. Les Alchandreana Primitifs: Étude Sur Les plus Anciens Traités Astrologiques
Latin d’origin Arabe (Xe Siècle). Leiden: Brill, 2007. |
Liber Nimrod de astronomiaLiber Nemroth |
Ps.-Nimrod |
|
|
|
|
Grebner, Gundula. ‘Der Liber Nemroth, die Fragen Friedrichs II. an Michael Scotus
und die Redaktionen des Liber particularis’. In Kulturtransfer und Hofgesellschaft
im Mittelalter: Wissenskultur am sizilianischen und kastilischen Hof im 13. Jahrhundert,
edited by Johannes Fried and Gundula Grebner, 285–98. Oldenbourg, 2009. — Juste, David. ‘On the Date of the Liber Nemroth’. Journal of the Warburg and Courtauld
Institutes 67 (2004): 255–57. — Livesey, J., and R. H. Rouse. ‘Nimrod the Astronomer’. Traditio 37 (1981): 203–66. — Obrist, Barbara. ‘Measuring the Location of the World’s Center in Nemroth Liber de
Astronomia’. In La Misura, 89–111. Microloogus, XIX. Florence: Sismel, 2011. — Draelants, Isabelle. ‘Le Liber Nemroth de astronomia: état de la question et nouveaux
indices’. Revue d’Histoire des Textes 13 (2018): 245–329. |
Argumentum ad lunam, cursu turbato anno domini infrascriptoArg. Aquens. |
|
|
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|
|
Borst, Schriften, Vol. 3, pp. 1350-1366. |
Annalis libellus (also called Veroneser Jahrbüchlein von 793
|
|
|
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|
Borst, Schriften, Vol. 2, pp. 660-772. —
Borst, Kalenderreform, p. 317-18. |
Lectiones sive regula conputi |
|
|
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|
Borst, Schriften, Vol. 2, pp. 527-659. |
Libri computi (also called the Aachen encyclopedia of 809 or the Seven-book computus)
|
|
|
|
|
|
Borst, Schriften, Vol. 3, pp. 1054-1334. —
Borst, Kalenderreform, p. 319. |
Liber calculationis (also called the Salzburg encyclopedia of 818 or the Three-book computus)
|
|
Assenbled by Arno of Salzburg. |
|
|
|
Borst, Schriften, Vol. 3, pp. 1367-1451. —
Borst, Kalenderreform, p. 321. |
Liber de computo |
Helpericus Altissiodorensis |
|
Domino Patri sanctissimo, nomine Aspro, moribus autem placidissimo, Helpericus humilis
(Praefatio)Cum fratribus adolescentioribus nostris quaedam calculatoriae artis rudimenta communi
sermone explicare coepissem (Prologus)Annus solaris ut majorum constat solertia investigatum (Cap. I) |
alphabeti characteribus inducti, illa deinceps facilius assequantur. |
|
PL, 137, 17B-48D. —
Borst, Kalenderreform, p. 323-24. |
Martyrologium |
Wandalbert von Prüm |
Consists of one opening letter (Praefatio) addressed to Otrich and the text of the
martyrologium. |
Domino Otrio Wandalbertus salutem dicit. Veteri et perantiquo praecepto monemurDies 1 Primum nunc Iani vocitatum nomine mensem |
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Micrologus de disciplina artis musicae |
Guido Aretinus |
|
|
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Regulae rhytmicae |
Guido Aretinus |
|
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|
|
Text in: Thesaurus musicarum latinarum.
|
Musica |
Henricus Augustanus |
|
|
|
|
Text in: Thesaurus musicarum latinarum.
|
Musica |
Guilelmus Hirsaugiensis |
|
|
|
|
Scriptores ecclesiastici de musica sacra potissimum, 3 vols., ed. Martin Gerbert (St.
Blaise: Typis San-Blasianis, 1784; reprint ed., Hildesheim: Olms, 1963), 2:154–82. —
Text in: Thesaurus musicarum latinarum.
|
De musica cum tonario |
Johannes Cotto |
|
|
|
|
Text in: Thesaurus musicarum latinarum.
|
Musica |
Hermannus Contractus |
|
|
|
|
Text in: Thesaurus musicarum latinarum.
|
De inventione |
Cicero |
|
|
|
|
Text from the Latin library. |
Dialogus de musica |
|
Often ascribed to Odo Cluniacensis. |
|
|
|
Text in: Thesaurus musicarum latinarum (PL, 133, 757–74).
—
Pseudo-Odo of Cluny, Dialogue on Music (c1000 C.E.)
|
Prayer |
|
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Orbis terrae descriptio |
Dionysius Periegetes |
|
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|
|
On the creation of the luminaries according to the bible |
|
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|
|
Partitiones duodecim versuum Aeneidos principalium |
Priscianus |
|
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|
De positione et cursu septem planetarum (Excerpt from Libri computi, Lib. V, 3) |
Pliny the Elder |
Excerpt from Pliny's Historia naturalis, Lib. II. |
Inter caelum et terram certis discreta spatiis semptem sidera pendent |
Dein morata in coitu solis biduo cum tardissime a tricesima luce ad easdem vices exit. |
|
Eastwood, Bruce, and Gerd Graßhoff. "Planetary Diagrams for Roman Astronomy in Medieval
Europe, Ca. 800-1500." Transactions of the American Philosophical Society 94, no. 3 (2004): I-158, here 22-27.
—
Borst, Schriften, Vol. 3, pp. 1260-63. |
De intervallis earum (Excerpt from Libri computi, Lib. V, 4) |
Pliny the Elder |
Excerpt from Pliny's Historia naturalis, Lib. II. |
Intervalla eorum a terra multi indagare temptarunt |
Ita septem tonis effici quam diapason armoniam vocant. |
|
Eastwood, Bruce, and Gerd Graßhoff. "Planetary Diagrams for Roman Astronomy in Medieval
Europe, Ca. 800-1500." Transactions of the American Philosophical Society 94, no. 3 (2004): I-158, here 27-30.
—
Borst, Schriften, Vol. 3, pp. 1263-65. |
De absidibus earum (Excerpt from Libri computi, Lib. V, 5) |
Pliny the Elder |
Excerpt from Pliny's Historia naturalis, Lib. II. |
Tres autem quas supras solem diximus sitas |
sicut in rotis radios ut subiecta figura demonstrat. |
|
Eastwood, Bruce, and Gerd Graßhoff. "Planetary Diagrams for Roman Astronomy in Medieval
Europe, Ca. 800-1500." Transactions of the American Philosophical Society 94, no. 3 (2004): I-158, here 30-35.
—
Borst, Schriften, Vol. 3, pp. 1265-69. |
De cursu earum per zodiacum circulum (Excerpt from Libri computi, Lib. V, 6) |
Pliny the Elder |
Excerpt from Pliny's Historia naturalis, Lib. II. |
Cur autem magnitudines suas et colores mutent |
Sed inter omnia haec sidera martis maxime inobservabilis est cursus. |
|
Eastwood, Bruce, and Gerd Graßhoff. "Planetary Diagrams for Roman Astronomy in Medieval
Europe, Ca. 800-1500." Transactions of the American Philosophical Society 94, no. 3 (2004): I-158, here 35-40.
—
Borst, Schriften, Vol. 3, pp. 1270-1273. |
De presagiis tempestatum (Excerpt from Libri computi, Lib. V, 12) |
Pliny the Elder |
Excerpt from Pliny's Historia naturalis, Lib. XVIII, ch. 340-65. Used also in Libri computi, V, 12. |
Etenim praedictis difficilioribus transire convenit ad reliqua tempestatum praesagia |
sudorem repositoriis reliquentia diras tempestates praenuntiant. |
|
Borst, Schriften, Vol. 3, pp. 1281-1293. |
De temporum mutatione |
|
Excerpt from Pliny's Historia naturalis, Lib. XVIII, ch. 220-25, 275-77. |
Omnis ratio tempestatum observata est ab antiquis tribus modis |
omnes hibernos fructus et praecones laedi necesse est. |
|
Borst, Schriften, Vol. 3, pp. 1443-. |
Preceptum canonis Ptolomei |
Ptolemy |
|
|
|
|
David Juste, ‘MS London, British Library, Harley 2506’ (update: 08.12.2017), Ptolemaeus
Arabus et Latinus. Manuscripts. |
Revised Aratus Latinus |
|
|
|
|
|
|
Regulae de numerorum abaci rationibus |
Herigerus Lobiensis |
|
|
|
|
Bubnov 1899, pp. 8-22. |
Saturae |
Iuvenalis |
|
|
|
|
Munk Olsen, L’ étude 4,2, p. 119. |
De ratione conputandi (Scottus Rat.)
|
|
Borst (
Borst, Kalenderreform, pp. 177-189.) suggested that this work was written around 650 in South Ireland. It was intended
not only for monastic, but for general use - a manual for all Latin readers including
clerics. On calendar and arithmetical questions followed Victorius of Aquitaine and
Dionysius. For the theme on language borrowed heavily from Isidore. The manual is
divided in two parts: 1) comprising 62 chapters mainly on the solar calendar with
a catalogue of time units; 2) comprising 53 chapters - the course of the moon and
its significance for the Easter calculation. |
|
|
|
Maura Walsh, and Dáibhí Ó Cróinín (ed). Cummian’s Letter De controversia paschali, together with a related Irish computistical
tract De ratione conputandi. Toronto: Pontifical Institute of Medieval Studies, 1988. |
Scholia Basileensia |
|
|
Quaeritur quare ab Ioue coepit et non a musis ut Homerus |
Effusum est lac et facta est circuli albi species. |
|
Dell’Era, Antonio. "Gli Scholia Basileensia a Germanico," in Atti Della Accademia Nazionale Dei Lincei: Memorie, Classe di Scienze morali, storiche
e filologiche. Ser. VIII, vol. XXIII. Romе, 1979, pp. 301-379.
|
Scholia Strozziana |
|
|
Caelum circulis V distinguitur, quorum II extremi maxime frigide, australi humilimus
et aquilonius excelsissimus |
Immo et ceteri pisces, sed hi tantum apparent, quia exiliunt, ceteri in imo gurgitis
descendunt. |
|
Dell’Era, Antonio. "Una miscellanea astronomica medievale: gli "Scholia Strozziana"
a germanico," in Atti Della Accademia Nazionale dei Lincei: Memorie, Classe di Scienze morali, storiche
e filologiche. Ser. VIII, vol. XXIII. Romе, 1979, pp. 147-267.
|
Sententiae |
Publius Syrus |
|
|
|
|
PHI Latin texts |
Somnium Scipionis |
Cicero |
|
Cum in africam venissem M. Manilio consuli ad quartam legionem tribunus |
Ille discessit; ego somno solutus sum. |
|
|
Horologium nocturnum |
Pacificus Veronensis |
|
Spera caeli quater senis horis dum uoluitur |
|
|
|
Visio Wettini |
Walafrid Strabo |
|
|
|
|
E. Dümmler, MGH Poetae, 2, 1884, pp. 301-334
|
Visio Wettini |
Haito |
|
|
|
|
E. Dümmler, MGH Poetae, 2, 1884, pp. 267-275
|
Excerpt from Libri computi, Lib. V, 11 |
|
|
A terra ad lunam tonum esse pronuntiant quod C¯X¯X¯V¯ stadiorum spatium |
|
|
Borst, Schriften, Vol. 3, pp. 1280-1281. |
Excerpt from Libri computi, Lib. VI, 4 |
|
|
In omni orbe uel sphera medietas centrum uocatur |
|
|
Borst, Schriften, Vol. 3, pp. 1310-1313. |
Excerpt from Libri computi, Lib. VI, 5 |
|
|
His dictis quibus mensura, quam terrae vel ambitus |
|
|
Borst, Schriften, Vol. 3, pp. 1313-1316. |
Excerpt from Libri computi, Lib. VI, 6 |
|
|
Luna item circuli sui sexcentesimam obtinet portionem |
|
|
Borst, Schriften, Vol. 3, pp. 1316-1318. |
Excerpt from Libri computi, Lib. VI, 7 |
|
|
Eratostenes philosophus idemque geometria |
|
|
Borst, Schriften, Vol. 3, pp. 1318-1320. |