Bibliotheca Polyglotta

Euclid: Elementa

Πόρισμα
Ὡσαύτως δὲ καὶ ἐπὶ τῶν [ὁμοίων] τετραπλεύρων δειχθήσεται, ὅτι ἐν διπλασίονι λόγῳ εἰσὶ τῶν ὁμολόγων πλευρῶν.
ἐδείχθη δὲ καὶ ἐπὶ τῶν τριγώνων: ὥστε καὶ καθόλου τὰ ὅμοια εὐθύγραμμα σχήματα πρὸς ἄλληλα ἐν διπλασίονι λόγῳ εἰσὶ τῶν ὁμολόγων πλευρῶν.

eng

PORISM.
Similarly also it can be proved in the case of quadrilaterals that they are in the duplicate ratio of the corresponding sides.
And it was also proved in the case of triangles; therefore also, generally, similar rectilineal figures are to one another in the duplicate ratio of the corresponding sides.

lat Sic

Quod oportet (ostendere).
(Porisma I)
Similiter autem et in similibus quadrilateris ostendetur quoniam in dupla proportione sunt omologorum laterum. Ostensum est autem et in trigonis. Quare et universaliter similes rectilinee figure ad se invicem in dupla proportione sunt omologorum laterum.

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