 | 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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In an isosceles triangle the angles opposite the equal sides are equal. 
