{"schemaVersion":2,"id":"tlg4036.tlg006.local001","url":"https://thegreeklibrary.org/works/tlg4036.tlg006.local001/","urn":"urn:cts:greekLit:tlg4036.tlg006.local001","title":"Institutio physica","titleGreek":null,"alternateTitles":[],"author":"Anonymous","authorityName":"PROCLUS Phil.","authorUrl":null,"authorityUrl":"https://thegreeklibrary.org/authors/tlg4036-proclus/","editors":[],"publication":{"digitalPublisher":"Corpus local","sourceTitle":null,"edition":null,"publisher":null,"place":null,"date":null,"volume":null,"series":null,"citation":"Institutio physica, ed. A. Ritzenfeld, Procli Diadochi Lycii institutio physica, Leipzig: Teubner, 1912: 2–58. Cod: 7,500: Phil.","citationShort":"Institutio physica, ed. A. Ritzenfeld, Procli Diadochi Lycii institutio physica, Leipzig: Teubner, 1912: 2–58."},"rights":{"text":"Document TEI P5 local en UTF-8.","url":null},"provenance":{"authority":null,"sponsors":[],"funders":[],"principal":null,"responsibilities":[]},"corpus":{"version":"2.2.0","date":"2026-08-29"},"revisionDate":"2026-08-29","sourceUrl":"https://archive.org/details/ritzenfeld-institutio-physica-gr-lat-1912","sourceLinkType":"facsimile","sourceRights":"Public Domain Mark 1.0","citation":"Institutio physica. Institutio physica, ed. A. Ritzenfeld, Procli Diadochi Lycii institutio physica, Leipzig: Teubner, 1912: 2–58.. urn:cts:greekLit:tlg4036.tlg006.local001","excerpt":"τὸ δὲ Β ἐλάττονα τὴν ΓΕ, ὅπερ ἔδει ποιῆσαι. <Τῶν ἀνισοταχῶς κινουμένων τὸ θᾶττον ἐν ἐλάττονι χρόνῳ δίεισι τὸ ἴσον>. Ἔστω γὰρ ἀνισοταχῶς κινούμενα καὶ θᾶττον τὸ Α τοῦ Β. κεκινήσθω δὲ τὸ Α ἐν τῷ ΖΗ χρόνῳ τὴν ΓΔ, τὸ δὲ Β ἐν τῷ αὐτῷ ἐλάττονα τὴν ΓΕ. ἐπεὶ οὖν τὸ Α ἐν παντὶ τῷ ΖΗ τὴν ΓΔ κινεῖ- ται, τὴν ἐλάττονα τὴν ΓΕ ἐν ἐλάττονι κινηθήσεται. κινείσθω ἐν τῷ ΖΚ. τὸ δὲ Β τὴν ΓΕ ἐν τῷ ΖΗ ἐκινεῖτο, πλείων δὲ ὁ ΖΗ χρόνος τοῦ ΖΚ· τὴν ἄρα ἴσην τὴν ΓΕ τὸ μὲν Α ἐν ἐλάττονι χρόνῳ κινεῖται, τὸ δὲ Β ἐν πλείονι. <Ἄλλως τὸ αὐτό>. Ἔστω τὸ Α τοῦ Β θᾶττον, καὶ κινείσθω τὸ Β τὴν ΓΕ ἐν τῷ ΖΗ χρόνῳ. τὸ ἄρα Α ἢ ἐν τῷ αὐτῷ χρόνῳ κινεῖται τὴν ΓΕ ἢ ἐν πλείονι ἢ ἐν ἐλάττονι. ἀλλ' εἰ μὲν ἐν τῷ αὐτῷ, ἔσται ἰσοταχές· εἰ δ' ἐν πλείονι, ἔσται βρα- δύτερον, ὑπόκειται δὲ θᾶττον· ἐν ἐλάττονι ἄρα χρόνῳ κινη- θήσεται τὴν ΓΕ τὸ Α, ὅπερ ἔδει δεῖξαι. <Πᾶς χρόνος ἐπ' ἄπειρον διαιρεῖται καὶ πᾶν μέ- γεθος καὶ πᾶσα κίνησις>. Ἔστω…","divisions":[{"label":"1","url":"https://thegreeklibrary.org/works/tlg4036.tlg006.local001/#tlg4036-tlg006-local001-1"},{"label":"2","url":"https://thegreeklibrary.org/works/tlg4036.tlg006.local001/#tlg4036-tlg006-local001-2"},{"label":"Section 3","url":"https://thegreeklibrary.org/works/tlg4036.tlg006.local001/#tlg4036-tlg006-local001-segment-1"}],"formats":{"html":"https://thegreeklibrary.org/works/tlg4036.tlg006.local001/","json":"https://thegreeklibrary.org/api/works/tlg4036.tlg006.local001.json","compressedReadingDocument":"https://thegreeklibrary.org/works/tlg4036/tlg006/local001.json.gz"}}