 | Benjamin Peirce - Geometry - 1869 - 194 pages
...same points. The triangles will therefore coincide, and must be equal. 52. Corollary. Hence, w+ien two sides and the included angle of one triangle are...triangle the angles opposite the equal sides are equal. Proof. In the isosceles triangle ABC (fig. 32), let th« equal sides be AB and BC. Equal Angles of... | |
 | Trinity College (Hartford, Conn.) - 1870 - 1008 pages
...line at a given point. 2. Explain how to divide a given line' in extreme and mean ratio. 3. Prove that in an isosceles triangle the angles opposite the equal sides are equal. 4. Prove that an angle formed by two secants intersecting without the circumference of a circle is... | |
 | 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 - 262 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... | |
 | Edward Olney - Geometry - 1872 - 562 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 - 1873 - 132 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... | |
 | 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... | |
 | Adrien Marie Legendre - Geometry - 1874 - 500 pages
...in all 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... | |
 | United States Naval Academy - 1874 - 888 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... | |
 | 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... | |
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Theorem. In an isosceles triangle the angles opposite the equal sides are equal. 
