Elements of geometry : containing the first six books of Euclid, with a supplement on the quadrature of the circle, and the geometry of solids : to which are added, Elements of plane and spherical geometry (1826)
Playfair, John, 1748-1819, Euclid · Philadelphia : Marot & Walter · leaf 126
onals, the triangles shall be equiangular, andhave their equal angles opposite to the homologous sides. Let the triangles ABC,DEF have their sides proporlionals, so thatAB is to BC, as DE to EF; and BC to CA, as EF to FD; and con-sequently, ex asquali, BA to AC, as ED to DF; the triangle ABC… … At the points E, F, in thestraight line EF, make (23. 1.)tlie angle FEG equal to the an*gle ABC, and the angle EFG e-qual to BCA, Mherefore the re-maining angle BAG is equal tothe remaining angle EGF (33.1.),and the triangle ABC is there-fore equiangular to the triangleGEF; and consequently…
Euclid's Elements · Geometry · Trigonometry
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