The elements of Euclid for the use of schools and colleges; comprising the first six books and portions of the eleventh and twelfth books; (1903)
Euclid, Todhunter, I. (Isaac), 1820-1884, ed. edt, Simson, Robert, 1687-1768, ed. edt · London; New York, Macmillan · leaf 254
angle of the one equal to one angle ofthe other, and the sides about the equal angles proportionals, thetriangles shall he equiangular to one another, and shall have thoseangles equal which are opposite to the homologous sides. Let the triangles ABC, DEF have the angle BAG equalto the angle EDF,… … Construction. At D make the ^FDG equal to either ofthe angles BAC, EDF, the points Gr and E being on oppositesides of DF j and at F make the z-DFG equal to the ^ACB. [L23. Proof. The remaining z. at G- = the remaining /L at B •.-. the ADGF is equiangular to the A ABC ; .-. GD :DF ::BA: AC, [VL 4.…
Euclid's Elements · Geometry · Mathematics, Greek
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