 | Adrien Marie Legendre - Geometry - 1819 - 574 pages
...opposite to equal sides. THEOREM. 483. In every isosceles spherical triangle Hie angles opposite to the equal sides are equal ; and conversely, if two angles of a spherical triangle are equal, the triangle is isosceles. Demonstration. 1. Let AB be equal AC (fig.... | |
 | Adrien Marie Legendre - Geometry - 1822 - 394 pages
...must be equal, and lie opposite to equal sides. PROPOSITION XV. THEOREM. In every isosceles spherical triangle, the angles opposite the equal sides are equal ; and conversely, if two angles of a spherical triangle are equal, the triangle will be isosceles. First. Suppose the side AB=AC ; we shall... | |
 | Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...opposite to equal sides. THEOREM. 483. In every isosceles spherical triangle the angles opposite to the equal sides are equal ; and conversely, if two angles of a spherical triangle are equal, the triangle is isosceles. Demonstration. 1. Let jJD be equal to AC (fig.... | |
 | Adrien Marie Legendre - Geometry - 1825 - 276 pages
...opposite to equal sides. THEOREM. 483. In every isosceles spherical triangle the angles opposite to the equal sides are equal ; and conversely, if two angles of a spherical triangle are equal, the triangle is isosceles. Demonstration. 1. Let AB be equal to AC (Jig.... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...be equal, and lie opposite to equal sides. PROPOSITION XIII. THEOREM. In every isosceles spherical triangle, the angles opposite the equal sides are equal ; and conversely, if two angles of a spherical triangle are equal, the triangle is isosceles. First. Suppose the side AB= AC ; we shall... | |
 | Adrien Marie Legendre - Geometry - 1838 - 382 pages
...generally assumed as the base, which is not equal to either of the other two. PROPOSITION XII. THEOREM. Conversely, if two angles of a triangle are equal, the sides opposite them are also equal, and the triangle is isosceles. Let the angle ABf be equal to the angle ACB ; then... | |
 | Adrien Marie Legendre - Geometry - 1841 - 288 pages
...opposite to equal sides. THEOREM. 483. In every isosceles spherical triangle the angles opposite to the equal sides are equal ; and conversely, if two angles of a spherical triangle are equal, tfie triangle is isosceles. Demonstration. 1. Let AB be equal to AC (fig.... | |
 | Nathan Scholfield - 1845 - 894 pages
...must be equal, and lie opposite to equal sides. PROPOSITION XV. THEOREM. In every isosceles spherical triangle, the angles opposite the equal sides are equal ; and conversely, if two angles of a spherical triangle are equal, the triangle is isosceles. First. Suppose the side AB=AC; we shall have... | |
 | Nathan Scholfield - Conic sections - 1845 - 244 pages
...must be equal, and lie opposite to equal sides. PROPOSITION XV. THEOREM. In every isosceles spherical triangle, the angles opposite the equal sides are equal ; and conversely, if two angles of a spherical triangle are equal, the triangle is isosceles. First. Suppose the side AB=AC; we shall have... | |
 | Nathan Scholfield - Conic sections - 1845 - 542 pages
...must be equal, and lie opposite to equal sides. PROPOSITION XV. THEOREM. In every isosceles spherical triangle, the angles opposite the equal sides are equal ; and conversely, if two angles of a spherical triangle are equal, the triangle is isosceles. First. Suppose the side AB=AC; we shall have... | |
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In every isosceles spherical triangle, the angles opposite the equal sides are equal ; and conversely, if two angles of a spherical triangle are equal, the triangle is isosceles. 
