Bibliotheca Polyglotta

Euclid: Elementa

Κεκλάσθω δὴ πάλιν, καὶ ἔστω ἑτέρα γωνία ἡ ὑπὸ ΒΔΓ, καὶ ἐπιζευχθεῖσα ἡ ΔΕ ἐκβεβλήσθω ἐπὶ τὸ Η.

eng

Again let another straight line be inflected, and let there be another angle BDC; let DE be joined and produced to G.

lat Sic

Inc1inetur ergo rursum. Sitque angulus alter qui sub BDG et copulata recta DE emittatur in punctum I.

No Latin

No Latin

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No Arabic

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san

No Sanskrit

lat Clavius

TERTIO recta AB, secet rectam DC, et per centrum D, extendatur recta AE. Quoniam igitur angulus EDC, ad centrum, et angulus EAC, ad peripheriam, habent eandem basin EC, et recta AE, extenditur per centrum; erit angulus EDC, duplus anguli EAC, ut ostensum est in secunda parte. simili modo erit angulus EDB, duplus anguli EAB; habent enim hianguli eandem basin EB. Reliquusigitur angulus BDC, duplus erit reliqui anguli BAC.¹ Quando enim totum totius est duplum, et ablatum ablati; est et reliquum reliqui duplum. In circulo igitur angulus ad centrum duplex est, etc.

1. 20. primi.

kin 幾何原本

後論分圜角在負圜角線之外、而甲乙截丁丙者、曰。如下圖。試從甲過丁心、作甲戊線。其戊丁丙分圜角。與戊甲丙負圜角。同以戊乙丙圜分為底。如前次論戊丁丙角。倍大於戊甲丙角。依顯戊丁乙分圜角。亦倍大於戊甲乙負圜角。次於戊丁丙角、減戊丁乙角。戊甲丙角。減戊甲乙角。則所存乙丁丙角。必倍大於乙甲丙角。

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