{"schemaVersion":2,"id":"tlg5022.tlg002.local001","url":"https://thegreeklibrary.org/works/tlg5022.tlg002.local001/","urn":"urn:cts:greekLit:tlg5022.tlg002.local001","title":"Scholia in Euclidis Data","titleGreek":null,"alternateTitles":[],"author":"Scholia in Euclidem","authorityName":"SCHOLIA IN EUCLIDEM","authorUrl":"https://thegreeklibrary.org/authors/tlg5022-scholia-in-euclidem/","authorityUrl":"https://thegreeklibrary.org/authors/tlg5022-scholia-in-euclidem/","editors":["Heinrich Menge"],"publication":{"digitalPublisher":"Harvard College Library","sourceTitle":"Euclidis Data cum Commentario Marini et Scholiis Antiquis","edition":null,"publisher":"Teubner","place":"Leipzig","date":"1896","volume":"6","series":"Euclidis Opera Omnia","citation":null,"citationShort":null},"rights":{"text":"Available under a Creative Commons Attribution-ShareAlike 4.0 International License","url":"https://creativecommons.org/licenses/by-sa/4.0/"},"provenance":{"authority":"Harvard College Library","sponsors":[],"funders":["Harvard Library Arcadia Fund"],"principal":"Gregory Crane","responsibilities":[{"role":"Corrected and encoded the text","names":[]},{"role":"Editor-in-Chief, Perseus Digital Library","names":[]},{"role":"Project Manager (University of Leipzig)","names":[]},{"role":"Project Assistant (University of Leipzig)","names":[]},{"role":"Lead Developer (University of Leipzig)","names":[]},{"role":"Technical Advisor","names":[]}]},"corpus":{"version":"2.2.0","date":"2026-08-29"},"revisionDate":"2026-08-15","sourceUrl":"https://hdl.handle.net/2027/coo.31924102028986","sourceLinkType":null,"sourceRights":null,"citation":"Scholia In Euclidem. Scholia in Euclidis Data. ed. Heinrich Menge. Euclidis Data cum Commentario Marini et Scholiis Antiquis, Leipzig, Teubner, 1896. urn:cts:greekLit:tlg5022.tlg002.local001","excerpt":"1. Τῶν δεδομένων τὰ μὲν θέσει ἐστὶ δεδομένα, τὰ δὲ μεγέθει, τὰ δὲ καὶ θέσει καὶ μεγέθει. 2. Τὸ δεδομένον λέγεται τετραχῶς· ἢ γὰρ μεγέθει ἢ εἴδει ἢ λόγῳ ἢ θέσει δεδόσθαι λέγεται. καὶ τί μὲν τούτων ἕκαστον σημαίνει, αὐτὸς σαφῶς διδάσκει. κοι- νῶς δὲ λέγεται δεδομένον, ᾧ δυνατόν ἐστιν ἴσον εὑρεῖν τε καὶ πορίσασθαι. 3. Τὴν τῶν δεδομένων πραγματείαν ἐν ἑνὶ ἐπι- πέδῳ κειμένων ὑποθετέον, ὥσπερ καὶ τὰ πρῶτα ἓξ τῆς στοιχειώσεως βιβλία. σχόλια ρS. 1. PlVat. C1Mon.σρS. 2. Vat. vC1lρS, cum nr. 1 coniunctum PMon.S. ln hoc scholio ρ post μεγέθει add.: ὡς ἡ εὐθεῖα καθʼ ὑπόθεσιν πηχῶν τοσούτων, post εἴδει: ὅταν ἡ τὸ σχῆμα △ ἢ ⁗ ἢ ⊙, post λόγῳ: ὅταν ἡ διπλάσιον ἢ τριπλάσιον, post θέσει: ὅταν ἐν τῷ δεῖνι τόπῳ λέγῃς δεῖν τεθεῖσθαι τὸ σημεῖον ἢ τὴν εὐθεῖαν ἢ ἐν τόπῳ ἁπλῶς καὶ μὴ νοητῶς αὐτὴν θεωρῇς. 3. C1Mon.σρ, cum nr. 2 conounc- tum Vat. 3. τά — μεγέθει (alt.)] om. ρ. 4. τετραχῶς λέγεται ρ. 5. λόγῳ]…","divisions":[{"label":"SCHOLIA.","url":"https://thegreeklibrary.org/works/tlg5022.tlg002.local001/#tlg5022-tlg002-local001-scholia"},{"label":"APPENDIX SCHΟLIΟRUM.","url":"https://thegreeklibrary.org/works/tlg5022.tlg002.local001/#tlg5022-tlg002-local001-appendix"}],"formats":{"html":"https://thegreeklibrary.org/works/tlg5022.tlg002.local001/","json":"https://thegreeklibrary.org/api/works/tlg5022.tlg002.local001.json","compressedReadingDocument":"https://thegreeklibrary.org/works/tlg5022/tlg002/local001.json.gz"}}