 | abbé Rossignol (Jean-Joseph) - 1787 - عدد الصفحات: 190
...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 angle... | |
 | Euclid, John Playfair - 1795 - عدد الصفحات: 462
...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 - عدد الصفحات: 374
...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... | |
 | Charles Hutton - 1812 - عدد الصفحات: 620
...which is absurd, since their angles arc unequal. THEOREM LXXXVI. Triangles, which have an Angle in the one Equal to an Angle in the other, and the Sides about these angles Proportional, are Equiangular. LET ABC, DEF, be two triangles, having the angle A = the angle... | |
 | Euclides - 1814 - عدد الصفحات: 560
...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 - عدد الصفحات: 588
...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 - عدد الصفحات: 350
...(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... | |
 | Charles Hutton - 1822 - عدد الصفحات: 616
...which is absurd, since their angles are unequal. THEOREM LXXXVI. Triangles, which have an Angle in the one Equal to an Angle in the other, and the Sides about these angles Proportional, are Equiangular. LET ABC. DBF, be two triangles, haying the angle A = the angle... | |
 | Peter Nicholson - 1825 - عدد الصفحات: 1046
...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 - عدد الصفحات: 546
...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... | |
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FGL ; (vi. 6.) and therefore similar to it ; (vi. 4.) wherefore the angle ABE is equal to the angle FGL: and, because the polygons are similar, the whole angle ABC is equal to the whole angle FGH ; (vi. 
