| Robert Simson - 1762 - 466 sider
...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) - 1787 - 162 sider
...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... | |
| John Playfair - 1795 - 400 sider
...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 - 1799 - 351 sider
...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... | |
| Euclid, Robert Simson - 1806 - 518 sider
...» : 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
...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 - 528 sider
...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 - 1821 - 516 sider
...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 - 1825 - 372 sider
...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 - 1827 - 513 sider
...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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