 | George Darley - 1828 - 190 σελίδες
...that ARTS. 97, 99, afford with respect to parallelogrammatic surfaces. ART. 107. " Two triangles which have an angle in one equal to an angle in the other, and have also the sides about these equal angles reciprocally proportional, are equal." Here we have a... | |
 | Dionysius Lardner - 1828 - 434 σελίδες
...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.... | |
 | Euclid, Robert Simson - 1829 - 548 σελίδες
...eq'ial 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...wherefore the angle ABE is equal to the angle FGL : and, because the polygons are similar, the whole angle ABC is equal (1. def. 6.) to the whole angle FGH;... | |
 | Euclid - 1835 - 540 σελίδες
...OF to FL»: v— Y-— ' Wherefore, because the triangles ABE, FGL, have an angle B 1 Def- cin the one equal to an angle in the other, and their sides...angles proportionals, the triangle ABE is equiangular b, and therefore similar, to the triangle FGL c ; where- b 6. 6. fore, the angle ABE is equal to the... | |
 | Robert Simson - 1835 - 544 σελίδες
...to FL": v— •r*-' Wherefore, because the triangles ABE, FGL, have an angle 8 1 Def. '• in the one equal to an angle in the other, and their sides...angles proportionals, the triangle ABE is equiangular b, and therefore similar, to the triangle FGL c ; where- b 6. 6. fore, the angle ABE is equal to the... | |
 | John Playfair - 1836 - 148 σελίδες
...is equal'tothe angle GFL (5. Def. 5.), and BA is to AE, as GF to FL (5. Def. 5.) ; wherefore because the triangles ABE, FGL, have an angle in one equal...angles proportionals ; the triangle ABE is equiangular (7. 5.), and therefore similar to the triangle FGL (5. 5.) ; wherefore the angle ABE is equal to the... | |
 | George Darley - 1836 - 172 σελίδες
...have the sides about these equal angles reciprocally proportional, ibid. AKT. 107. Two triangles which have an angle in one equal to an angle in the other, and have also the sides about these equal angles reciprocally proportional, are equal, 82. ART. 1011. Equal... | |
 | Andrew Bell - 1837 - 290 σελίδες
...angle GFL ; and BA is to AE, as GF to FL (VI. Def. 9) ; wherefore, because the triangles ABE, FGL, hare an angle in one equal to an angle in the other, and...angles proportionals, the triangle ABE is equiangular (VI. 6), and therefore similar to the triangle FGL (VI. 4) ; wherefore the angle ABE is equal to the... | |
 | Euclid, James Thomson - 1837 - 410 σελίδες
...the polygons are similar, the angles A and F are equal, and BA : AE : : GF : FL : wherefore, because the triangles ABE, FGL have an angle in one equal to an angle in the other, and the sides about those angles proportionals, the triangle ABE is (VI. 6.) equiangular, and therefore... | |
 | Robert Simson - 1838 - 434 σελίδες
...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...wherefore the angle ABE is equal to the angle FGL : and, because the polygons are similar, the whole angle ABC is equal (1. def. 6.) to the whole angle FGH;... | |
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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. 
