Volume 2
The elements of Euclid explain'd. In a new, but most easie method, together with the use of every proposition through all parts of the mathematicks / Written in French, by that exccellent [sic] mathematician F. Claud. Francis Milliet de Chales ... And now carefully done into English. And purg'd from a multitude of errors, which had escap'd in the original.
- Euclid
- Date:
- 1685
Licence: Public Domain Mark
Credit: The elements of Euclid explain'd. In a new, but most easie method, together with the use of every proposition through all parts of the mathematicks / Written in French, by that exccellent [sic] mathematician F. Claud. Francis Milliet de Chales ... And now carefully done into English. And purg'd from a multitude of errors, which had escap'd in the original. Source: Wellcome Collection.
126/392 page 116
![AE,EF; and producing FD-toG, fo chat Ὠαι νο may be equal to BD, joyn the lines AG, andl}; EBG. L. Demonftration. The lines AC,CB, and CE being equal, andl) the angles at the point C being right angles 3: the angles CAE, AEC, CEB, and CBE, will bell. . half right angles. In like manner che angle DD} being a right angle, and the lines BD and Όσα equal, che angles DEG, and DGB, will be half} * tight angles ; and fo will likewife GEF, thee) angle F being aright angle 5 therefore the lines FG and Fe are equal, (bythe 6.1.) and ER) is equal to GD, (by the 33.1.) Now che fquared?’ \ of AE is double che fquare of AC, and ché fquare of EG alfo double che fquare of EF, ου. | CD, (by the 47. 1.) But the fquare of AG ig, equal το the Squares of AE and EG, (by thy fame :) therefore the fquare of AG is doubligfitu the fquares of AC and CD. The fame (αὐτόν of AG is likewife (by the fame) equal to εκ {quares of AD, and DG equal to DB: theres; it fore the {quaresof AD and DB are double εἰ η, fquares of AC and CD. | Κ By Numbers. à. Let AB contain 6 parts, AC 3; and Ομ 3, BD4 3; the fquare of AD 10 is 100]: the fquare of BD 4 is. 16, which make cogediis, ther 116. The fquére alfo of AC 318 9: cher - (αυ > ee](https://iiif.wellcomecollection.org/image/b30337069_0002_0126.jp2/full/800%2C/0/default.jpg)
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