Image: Philippe van Lansberge 1604 QED

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Description: A 1604 use of "quod erat demonstrandum". Latin text: 8. Sinus rectus peripheriae, et complementi sui aequepossunt radio. Complementum peripheriae dicimus reliquam datae ad circuli quadrantem. Sit igitur in / praemissa figura, recta EF, sinus rectus peripheriae GE vel BCE: et complementi sui CE sinus rectus / ED, vel aequalis illi AF per trigesimam quartam primi elementorum. Dico AF et EF, aequeposse / radio AE. Nam per penultimam primi Euclidis, in Triangulis rectangulis, quadrata laterum rectum / angulum continentium, aequalia sunt lateri rectum angulum subtendenti. Sed AFE est Triangulum / rectangulum ad F per septimam hujus, crura verò rectum ambientia sunt AF et EF: aequepossunt / ergo radio AE rectum angulum subtendenti; quod erat demonstrandum.
Title: Philippe van Lansberge 1604 QED
Credit: Triangulorum geometriae libri quatuor: in quibus novâ ...
Author: Philippe van Lansberge
Usage Terms: Public domain
License: Public domain
Attribution Required?: No

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Q.E.D.

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