| Edward Olney - Geometry - 1872 - 472 pages
...the chords are equal, the arcs are, and hence the angles subtended by these arcs. 227. 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... | |
| William Frothingham Bradbury - Geometry - 1872 - 268 pages
...intersection E. Therefore the two triangles coincide, and are equal in all respects. THEOREM X. 42. **In an isosceles triangle the angles opposite the equal sides are equal.** In the isosceles triangle ABC let AB and BC be the equal sides ; then the angle A is equal to' the... | |
| Benjamin Greenleaf - Geometry - 1873 - 202 pages
...side BA equal to ED, the side CA equal to FD, and the angle A equal to the angle D. THEOREM VI. 46. **In an isosceles triangle, the angles opposite the equal sides are equal. Let** ABC be an isosceles triangle, in which the side AB is equal to the side AC; then will the angle B be... | |
| William Frothingham Bradbury - Geometry - 1873 - 138 pages
...intersection E. Therefore the two triangles coincide, and are equal in all respects. THEOREM X. 42. **In an isosceles triangle the angles opposite the equal sides are equal.** In the isosceles triangle ABC let AB and BC be the equal sides ; then the angle A is equal to the angle... | |
| Adrien Marie Legendre - Geometry - 1874 - 512 pages
...their parts, the equal sides lie opposite the equal angles; and conversely. PROPOSITION XI. THEOREM. **In an isosceles triangle the angles opposite the equal sides are equal. Let** BAC be an isosceles triangle, having the side AB equal to the side AC: then will the angle C be equal... | |
| Benjamin Greenleaf - Geometry - 1874 - 206 pages
...side BA equal to ED, the side CA equal to FD, and the angle A equal to the angle D, THEOREM VI. 46. **In an isosceles triangle, the angles opposite the equal sides are equal. Let** ABC be an isosceles triangle, in which the side AB is equal to the side AC; then will the angle B be... | |
| United States Naval Academy - 1874 - 886 pages
...all the angles of a polygon of n sides. If the polygon is regular, what is each angle Î Prove that **in an isosceles triangle the angles opposite the equal sides are equal.** 2. Prove that the straight Hues which bisect two adjacent supplementary angles are perpendicular to... | |
| William Guy Peck - Conic sections - 1876 - 376 pages
...the triangles are equal in all their parts, (P. 8), which was to be proved. PROPOSITION XII. THEOREM. **In an isosceles triangle the angles opposite the equal sides are equal. Let** ACD be an isosceles triangle in which D CD is equal to DA. Let the base AC be bisected in E and from... | |
| Aaron Schuyler - Geometry - 1876 - 384 pages
...AD (56, 2). But B and C are opposite the equal sides, AC, AB, of the isosceles triangle ABC. Hence, **in an isosceles triangle, the angles opposite the equal sides are equal.** 60. Corollaries. 1. The line bisecting the vertical angle of an isosceles triangle bisects the base... | |
| William Frothingham Bradbury - Geometry - 1880 - 260 pages
...intersection E. Therefore the two triangles coincide, and are equal in all respects. THEOREM XII. 82. **In an isosceles triangle the angles opposite the equal sides are equal.** In the isosceles triangle ABC let AB and BC be the equal sides ; then the angle A is equal to the angle... | |
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