 | Robert Simson - Trigonometry - 1762 - 488 pages
...FGHKL, the angle BAE is equal to the angle GFL *, and BA is to AE, as GF to FL ". wherefore becaufe the triangles ABE, FGL have an angle in one equal to an angle in the other, i find their fides about thefe equal angles proportionals, the triangle ABE is equiangular b, and therefore... | |
 | abbé Rossignol (Jean-Joseph) - Geometry - 1787 - 190 pages
...would be 5 identical ; 'which is abfurd, fmce their angles are unequal. PROP. LXIIH * Triangles which have an angle in one equal to an angle in the other, and the fides about thefe angles proportional, are equiangular. If, in the two triangles BAC, NMP, the... | |
 | Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...BAE is equal i ». def. 6. to the angle GFL a, and BA is to AE, as GF to FL " : wherefore, becaufe the triangles ABE, FGL have an angle in one equal to an angle in the other, and their fides about theft thefe equal angles proportionals, the triangle ABE is equi- BookV^ angular b, and... | |
 | Alexander Ingram - Trigonometry - 1799 - 374 pages
...FGHKL, the angle BAE is equal to GFL », anda i.Def.6. BA is to AE, as GF to FL a : Wherefore, becaufe the triangles ABE, FGL have an angle in one equal to an angle in the other, and their fides about thefe angles proportionals, the triangle ABE is equiangular b, and therefore fimilar to... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...» : wherefore, be- *— v— ^ cause the triangles ABE, FGL have an angle in one equal toa1.def.6. an angle in the other, and their sides about these...angles proportionals, the triangle ABE is equiangular b, and therefore b 6. 6. similar to the triangle FGLc; wherefore the angle ABE isc4. 6. equal to the... | |
 | Euclides - 1814 - 560 pages
...Boon Vf. BAE is equal to the angle GFL a , and BA is to AE, as *~~*~** GFtoFL3: Wherefore, because the triangles ABE, FGL "' "' " have an angle in one equal to an angle in the other, and theirsidesaboutthese equal angles proportionals, the triangle ABE is equiangular b , and therefore... | |
 | Euclides - 1816 - 588 pages
...BAE is equal to the angle GFLa, mid BA is to AE, as ^TT* GFtoFL": Wherefore, because the trianglc.s ABE, FGL " ""' "' have an angle in one equal to an angle in the other, and their sidesabout these equal angles proportionals, the triangle ABE is equiangular11, and therefore similar,... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...angle BAE is equal to the angle GFL(1. def. 6.),andBA is to AE,asGF to FL(1. def 6.); wherefore because the triangles ABE, FGL have an angle in one equal...angles proportionals; the triangle ABE is equiangular (6.6.J, and therefore similar to the triangle FGL (4. 6.;; wherefore the angle ABE is equal to the... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...equal to the angle GFL, (1, def. 6.) and BA is to AE, as GF to FL: (1. def. 6.) Wherefore, because the triangles ABE, FGL, have an angle in one equal...proportionals, the triangle ABE is equiangular, (6. в.) and therefore similar to the triangle FGL : (t. 6.) Wherefore the angle ABE < equal to the angle... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...angle GFL, and BA is to AE*, » 1 D(* 6. as GF to FL : therefore, because the triangles ABE, 1 Def. 6. FGL have an angle in one equal to an angle in the other, and their sides about these equal angles, propor* 6. 6. tionals, the triangle ABE is equiangular* to the triangle * 4. 6. FGL ; and therefore*... | |
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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. 
