| Robert Simson - 1762 - 466 sider
...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
...three fides equal 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
...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... | |
| Alexander Ingram - 1799 - 351 sider
...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... | |
| Euclides - 1814
...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
...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... | |
| John Playfair - 1819 - 317 sider
...GFL (def. 1. 6.), and BA : AE : : GF : FL (def. 1. 6.) : wherefore, because the triangles ABE, 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. 6.), and therefore... | |
| Peter Nicholson - 1825 - 372 sider
...(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 to an angle in the other, and** their sides about these equal angles proportionals, the triangle ABE is equiangular, (6. в.) and therefore... | |
| Robert Simson - 1827 - 513 sider
...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... | |
| Dionysius Lardner - 1828 - 317 sider
...side and angle for angle with the four triangles of the other hemisphere. Every two of these triangles **have an angle in one equal to an angle in the other, and** the sides opposite to these angles respectively equal, while the remaining sides and angles are supplemental.... | |
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