| Thomas Keith - 1810 - 478 σελίδες
...(F) The angles at the base of an isosceles spherical triangle are equal to each other. DEMONSTRATION. Let ABC be an isosceles triangle having the side AC equal to the side EC. Make CE equal to CD, and draw EB and DA ; now AC being equal to Be by hypothesis, and EC equal... | |
| Charles Hutton - 1816 - 610 σελίδες
...Triangle have _Two Sides equal, their Opposite Angles will also be equal. If the triangle ABC have the side AC equal to the side BC : then will the angle B be equal to the angle A For, conceive the angle c to be bisected, or divided into two equal parts... | |
| Adrien Marie Legendre - 1822 - 394 σελίδες
...equal. In the same manner it may be shewn, that B is equal to E, and C to F. PROPOSITION XII. THEOREM. In an isosceles triangle, the angles opposite the equal sides are equal. LET the side AB be equal to AC, the angle C will be equal to B. Join A the vertex, and D the middle point... | |
| Charles Hutton - 1822 - 616 σελίδες
...a Triangle have Two Sides equal, their Opposite Angles will also be equal. If the triangle ABC have the side AC equal to the side BC : then will the angle B be equal to the angle A. For, conceive the angle c to be bisected, or divided into two equal parts... | |
| Thomas Keith - 1826 - 504 σελίδες
...(F) The angles at the base of an isosceles spherical triangle are equal to each other. DEMONSTRATION. Let ABC be an isosceles triangle having the side AC equal to the side вс. Make CE equal to CD, and draw EB and DA ; now AC being equal to вс by hypothesis, and EC equal... | |
| William Grier - 1832 - 366 σελίδες
...the two triangles be identical, or equal in all respects. — (Fig. 1.) 3. If the triangle ABC have the side AC equal to the side BC; then will the angle B be equal to the angle A. — (Fig. ft) The line which bisects the vertical angle of an isosceles... | |
| Euclid - 1835 - 540 σελίδες
...pole of BC, by def. 1. QED PROP. IV. FIG. 3. In isosceles spherical triangles, the angles at the base are equal. Let ABC be an isosceles triangle, having the side AC equal to the side CB; the spherical angles BAC, ABC at the base AB, are equal. Let D be the centre of the sphere, and... | |
| Robert Simson - 1835 - 544 σελίδες
...pole of BC, by def. 1. QED PROP. IV. FIG. 3. In isosceles spherical triangles, the angles at the base are equal. Let ABC be an isosceles triangle, having the side AC equal to the side CB; the spherical angles BAC, ABC at the base AB, are equal. Let D be the centre of the sphere, and... | |
| John Playfair - 1835 - 336 σελίδες
...equal to one another : namely, those to which the equal sides are opposite. If the triangle ABC have the side AC equal to the side BC : then will the angle B be equal to the angle A. For, conceive the angle C to be bisected, or divided into two equal parts... | |
| Adrien Marie Legendre - 1836 - 394 σελίδες
...thus, the equal angles D and A, lie opposite the equal sides EF and BC. . PROPOSITION XI. THEOREM. In an isosceles triangle, the angles opposite the equal sides are equal. Let the side BA be equal to the side AC ; then will the angle C be equal to the angle B. For, join the... | |
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