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

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.

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29/392 page 19

RD IER -- A THEOREM, If two Triangles bave two fides equal, each te the other ve{petlively, and the angles aifo, forms'd by thofe two fides, equal their bafes and other angles will be equal, Fr À ET the criangles A D on ᾱ, BC,DEF have two fides equal each to the H eat LZ. - other refpectively > tnac F EC B = is to fay , Ἶει AB be G S] Ÿ 4 equalto DE, and AC to DF ; and tet the angles BAC, EDF, form'd by EF, are equal, and the angles ABC, DEF; ACB, DFE, are equal ; and fly, the whole triangles equal in aif refpects. Demonftration. SupPofe the triangle DEF το be plae’d upon the triangle ABC : the fide DE being upon AB, they will not exceed each other, becaufe they are fuppos‘d (ο be equal ; fo chat the poinc E willbe upon B, and thé point D upon the’ Point A, For the fame reafon the line DE will fall upon AC. For if ic thoutd fall on the sah fide

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