 | Edward Brooks - Geometry - 1868 - 284 pages
...way it may be shown that the angle C equals F, and the angle B equals E. Therefore, etc. THEOREM X. In an isosceles triangle the angles opposite the equal...sides are equal. Let ABC be an isosceles triangle, having the side AC equal to the side BC; then will the angle A be equal to the angle B. Join the vertex... | |
 | Benjamin Greenleaf - 1869 - 516 pages
...angles of a spherical triangle are equal, the triangle is isosceles. Let ABC be an isosceles spherical triangle, in which the side AB is equal to the side...AC ; then will the angle B be equal to the angle C. For, if the arc AD be drawn from the vertex A to the middle point, D, of the base, the two triangles... | |
 | Horatio Nelson Robinson - 1869 - 276 pages
...equal to the sides and angles of the other, each to each. PROPOSITION X. In an isosceles spherical triangle, the angles opposite the equal sides are equal. Let ABC be an isosceles spherical triangle, in which AB and AC are the equal sides; then will [_B =[_C. For, connect the vertex... | |
 | 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... | |
 | 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 - 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... | |
 | 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...AC; then will the angle B be equal to the angle C. Conceive the angle BAC to be bisected, or divided into two equal parts, by the ^ i , straight line... | |
 | 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 - 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...AC; then will the angle B be equal to the angle C. Conceive the angle BAC to be bisected, or divided into two equal parts, by the „' i \~, straight... | |
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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 equal to the angle C. 
