 | Robert Simson - Trigonometry - 1762 - 488 pages
...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
...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... | |
 | Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...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 - Trigonometry - 1799 - 374 pages
...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 - 560 pages
...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
...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 - 354 pages
...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 - Mathematics - 1825 - 1046 pages
...(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 - Trigonometry - 1827 - 546 pages
...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 - Plane trigonometry - 1828 - 434 pages
...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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FGL have an angle in one equal to an angle in the other, and their... 
