 | Edward Olney - 1872 - 562 σελίδες
...COR. 3. — In an isosceles triangle the angles opposite the equal sides are equal; and, conversely, if two angles of a triangle are equal, the sides opposite are equal, and the triangle is isosceles. DEM. — If AB = BC, arc a = arc e ; and hence, angle A, measured by... | |
 | Edward Olney - 1872 - 472 σελίδες
...COR. 3. — In an isosceles triangle the angles opposite the equal sides are equal ; and, conversely, if two angles of a triangle are equal, the sides opposite are equal, and the triangle is isosceles. DEM. — If AB = BC, arc a = arc e; and hence, angle A, measured by... | |
 | William Frothingham Bradbury - 1872 - 124 σελίδες
...opposite, and also the triangle. 41. Cor. 2. Au equilateral triangle is equiangular. THEOREM XI. 45 1 If two angles of a triangle are equal, the sides opposite are also equal. In the triangle ABC, let the angle A equal the angle C ; then AB is equal to B C. For if... | |
 | William Frothingham Bradbury - 1873 - 288 σελίδες
...opposite, and also the triangle. 44« Cor. 2. An equilateral triangle is equiangular. THEOBEM XI. 4,5 « If two angles of a triangle are equal, the sides opposite are also equal. In the triangle ABC let the angle A equal the angle C; then AB is equal to B С. Bisect... | |
 | Aaron Schuyler - 1876 - 384 σελίδες
...to the base. (?) 4. Every equilateral triangle is equiangular. (?) 61. Proposition XXI.— Theorem. If two angles of a triangle are equal, the sides opposite are equal. Let ABC be a triangle, having the angle B equal to the angle C; then is the side AC, opposite B, ^... | |
 | William Frothingham Bradbury - 1880 - 260 σελίδες
...and perpendicular to the base. 84 i Cor. 2. An equilateral triangle is equiangular. THEOREM XIII. 85. If two angles of a triangle are equal, the sides opposite are also equal. In the triangle ABC let the angle A equal the angle C; then AB is equal to B 0. Bisect... | |
 | Edward Olney - 1883 - 352 σελίδες
...COROLLARY 3. — In an isosceles triangle the angles opposite the equal sides are equal ; and, conversely, if two angles of a triangle are equal, the sides opposite are equal, and the triangle is isosceles. Thus, if AB = BC, arc a = arc e ; and hence, angle A, measured by J... | |
 | George Bruce Halsted - 1885 - 389 σελίδες
...parallels makes alternate angles equal, and (169) corresponding angles equal.) .-. AB = £F. (126. If two angles of a triangle are equal, the sides opposite are equal.) But BF : BC : : AD : DC, (499. If a line be parallel to a side of a triangle, it cuts the other sides... | |
 | George Bruce Halsted - 1886 - 394 σελίδες
...parallels makes alternate angles equal, and (169) corresponding angles equal.) .•. AB - BF, (126. If two angles of a triangle are equal, the sides opposite are equal.) But BF : BC : : AD : DC, (499. If a line be parallel to a side of a triangle, it cuts the other sides... | |
 | 1892 - 652 σελίδες
...equal, and of the angles those are equal which are opposite to the equal sides. *********** 16. Prop. X. If two angles of a triangle are equal the sides opposite are equal. 17. Prop. XI. If any side of a triangle is produced, the exterior angle is greater than either of the... | |
| |
If two angles of a triangle are equal, the sides opposite are equal. 
