 | Euclides - 1863 - 122 σελίδες
...and BAis to AE as GF is to FL (VI. Def. 1). Because the triangles ABE and FGL have an angle in the one equal to an angle in the other, and their sides about the equal angles proportionals ; therefore the triangle ABE is equiangular and similar to PEOP. XX.... | |
 | Euclides - 1864 - 448 σελίδες
...to AE, as GF to FL : (vI. def. 1.) therefore, because the triangles ABE, FGL have an angle intone, equal to an angle in the other, and their sides about...angles proportionals, the triangle ABE is equiangular to the triangle FGL : (vI. 6.) and therefore similar to it ; (vI. 4.) wherefore the angle ABE is equal... | |
 | Robert Potts - 1865 - 528 σελίδες
...equal to the angle GFL, (vi. def. 1.) and BA is to AE, as GF to FL: (vi. def. 1.) therefore, because the triangles ABE, FGL have an angle in one, equal...angles proportionals, the triangle ABE is equiangular to the triangle FGL: (vi. 6.) and therefore similar to it ; (vi. 4.) wherefore the angle ABE is equal... | |
 | Euclides - 1865 - 402 σελίδες
...tin: angle BAE is equal to the angle GFL, and BA is to AE, as GF to FL ; (vi. def. 1.) and because the triangles ABE, FGL have an angle in one, equal...their sides about these equal angles proportionals, therefore the triangle ABE is equiangular to the triangle FGL ; (vi. 6.) and therefore similar to it... | |
 | Robert Potts - 1868 - 434 σελίδες
...equal to the angle GFL, (vI. def. 1.) and BA is to AE, as GFto FL : (vI. def. 1.) therefore, because the triangles ABE, FGL have an angle in one, equal...angles proportionals, the triangle ABE is equiangular to the triangle FGL : (VI. 6.) and therefore similar to it ; (vI. 4.) wherefore the angle ABE is equal... | |
 | Euclid - 1868 - 138 σελίδες
...their sides about the equal angles reciprocally proportional ; and triangles which have an angle in the one equal to an angle in the other, and their sides about the equal angles reciprocally proportional, are equal to one another. PART I. Statement — Let the... | |
 | Euclides - 1874 - 342 σελίδες
...equal to the angle GFL (VI. Def. 1), and BA is to AE, as GF to FL (VI. Def. 1) ; therefore, because the triangles ABE, FGL have an angle in one, equal...their sides about these equal angles proportionals, 2. The triangle ABE is equiangular to the triangle FGL (VI. 6); and therefore similar to it (VI. 4)... | |
 | Robert Potts - 1876 - 446 σελίδες
...as GF to FL : (vi. def. 1.) therefore, because the triangles ABE, FGL have an angle in one, equol 10 an angle in the other, and their sides about these...angles proportionals, the triangle ABE is equiangular to the triangle FGL : (VI. 6.) and therefore similar; to it; (vi. 4.) wherefore the angle ABE is equal... | |
 | Euclid - 1876 - 240 σελίδες
...there- (6) m. 2l. (e) V. Def. 10 and 22. fore the two triangles (c) IIL 31. . (/) VL 20. BAE, GFL having an angle in one, equal to an angle in the other, and the sides about the equal angles proportionals, are equiangular ; and therefore the angle AEB is equal... | |
 | Charles Scott Venable - 1881 - 380 σελίδες
...points of contact is a mean proportional between the diameters of the two circles. 30. If two triangles have an angle in one equal to an angle in the other, and a second angle in one supplementary to an angle in the other, the sides of the triangles respectively... | |
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FGL, have an angle in one equal to an angle in the other, and their sides about these equal angles proportionals ; the triangle ABE is equiangular (6. 
