{"schemaVersion":2,"id":"tlg0559.tlg005.local001","url":"https://thegreeklibrary.org/works/tlg0559.tlg005.local001/","urn":"urn:cts:greekLit:tlg0559.tlg005.local001","title":"Catoptrica","titleGreek":null,"alternateTitles":[],"author":"Hero of Alexandria","authorityName":"HERON Mech.","authorUrl":"https://thegreeklibrary.org/authors/tlg0559-heron-mech/","authorityUrl":"https://thegreeklibrary.org/authors/tlg0559-heron-mech/","editors":["Wilhelm Schmidt","Ludwig Nix"],"publication":{"digitalPublisher":"Harvard College Library","sourceTitle":"Herons Von Alexandria Mechanik Und Katoptrik","edition":null,"publisher":"Teubner","place":"Leipzig","date":"1900","volume":"2.1","series":"Heronis Alexandrini Opera Quae Superunt 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) 2015 - 2017","names":[]},{"role":"Technical Advisor (Mount Allison University)","names":[]}]},"corpus":{"version":"2.2.0","date":"2026-08-29"},"revisionDate":"2026-08-15","sourceUrl":"https://archive.org/details/heronisalexandr02schogoog/page/368/mode/2up","sourceLinkType":null,"sourceRights":null,"citation":"Hero Of Alexandria. Catoptrica. ed. Wilhelm Schmidt, Ludwig Nix. Herons Von Alexandria Mechanik Und Katoptrik, Leipzig, Teubner, 1900. urn:cts:greekLit:tlg0559.tlg005.local001","excerpt":"Ἐπειδὴ γὰρ τοῦτο ὡμολογημένον ἐστὶ παρὰ πᾶσιν, ὅτι οὐδὲν μάτην ἐργάζεται ἡ φύσις οὐδὲ ματαιοπονεῖ, ἐὰν μὴ δώσωμεν πρὸς ἴσας γωνίας γίνεσθαι τὴν ἀνάκλασιν, πρὸς ἀνίσους ματαιοπονεῖ ἡ φύσις, καὶ ἀντὶ τοῦ διὰ βραχείας περιόδου φθάσαι τὸ ὁρώμενον τὴν ὄψιν, διὰ μακρᾶς περιόδου τοῦτο φανήσεται καταλαμβάνουσα. εὑρεθήσονται γὰρ αἱ τὰς ἀνίσους γωνίας περιέχουσαι εὐθεῖαι, αἵτινες ἀπὸ τῆς ὄψεως περιέχουσαι φερομένας πρὸς τὸ κάτοπτρον κἀκεῖθεν πρὸς τὸ ὁρώμενον, μείζονες οὖσαι τῶν τὰς ἴσας γωνίας περιεχουσῶν εὐθειῶν. καὶ ὅτι τοῦτο ἀληθές, δῆλον ἐντεῦθεν. Ὑποκείσω γὰρ τὸ κάτοπτρον εὐθεῖά τις ἡ ΑΒ, καὶ ἔστω τὸ μὲν ὁρῶν Γ, τὸ δʼ ὁρώμενον τὸ ∠, τὸ δὲ Ε σημεῖον τοῦ κατόπτρου, ἐν ᾧ προσπίπτουσα ἡ ὄψις ἀνακλᾶται πρὸς τὸ ὁρώμενον, ἔστω, καὶ ἐπεζεύχθω Exstat apud Olympiod. in Meteor. III, 2 ed. Stüve (Comm. Arist. XIl, 2, 212, 5—213, 20), ed. Ideler II, 96 4 ματαιο- πονεῖ Ald. ld.: ματαιοποιεῖ R. Schoene 5…","divisions":[{"label":"FRAGMENTUM.","url":"https://thegreeklibrary.org/works/tlg0559.tlg005.local001/#tlg0559-tlg005-local001-1"}],"formats":{"html":"https://thegreeklibrary.org/works/tlg0559.tlg005.local001/","json":"https://thegreeklibrary.org/api/works/tlg0559.tlg005.local001.json","compressedReadingDocument":"https://thegreeklibrary.org/works/tlg0559/tlg005/local001.json.gz"}}