 | Nathan Scholfield - 1845 - 894 pages
...PROPOSITION XV. THEOREM. In every isosceles spherical triangle, the angles opposite the equal sides are equal ; and conversely, if two angles of a spherical...AB=AC; we shall have the angle C=B. For, if the arc be drawn from the vertex A to the middle point D of the base, the two triangles ABD, ACD will have... | |
 | Nathan Scholfield - Conic sections - 1845 - 542 pages
...PROPOSITION XV. THEOREM. In every isosceles spherical triangle, the angles opposite the equal sides are equal ; and conversely, if two angles of a spherical...AB=AC; we shall have the angle C=B. For, if the arc be drawn from the vertex A to the middle point D of the base, the two triangles ABD. ACD will have... | |
 | Nathan Scholfield - Conic sections - 1845 - 244 pages
...PROPOSITION XV. THEOREM. In every isosceles spherical triangle, the angles opposite the equal sides are equal ; and conversely, if two angles of a spherical...AB=AC; we shall have the angle C=B. For, if the arc be drawn from the vertex A to the middle point D of the base, the two triangles ABD, ACD will have... | |
 | Nathan Scholfield - Geometry - 1845 - 506 pages
...PROPOSITION XV. THEOREM. In every isosceles spherical triangle, the angles opposite the equal sides are equal ; and conversely, if two angles of a spherical...the triangle is isosceles. First. Suppose the side AB = AC; we shall have the angle C=B. For, if the arc be drawn from the vertex A to the middle point... | |
 | George Roberts Perkins - Geometry - 1847 - 326 pages
...PROPOSITION XXVIII. 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 have the angle C = B. For, if the arc AD... | |
 | Charles Davies - Trigonometry - 1849 - 372 pages
...PROPOSITION XIU. THEOREM. In every isosceles spherical triangle, the angles opposite the equal sides are equal; and conversely, if two angles of a spherical...the triangle is isosceles. First. Suppose the side AB = AC; we shall have the angle C=B. For, if the arc AD be drawn from the vertex A to the middle point... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...PROPOSITION XVI. THEOREM. In (in 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. From the point A draw the arc AD to the middle of the base BC. Then, in the two triangles ABD, ACD,... | |
 | George Roberts Perkins - Geometry - 1850 - 332 pages
...PROPOSITION XXVIII. 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 have the angle C = B. For, if the arc... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...triangle, the angles oppos1te the equal sides are equal ; and conversely, if two angles of a spl1crical triangle are equal, the triangle is isosceles. First....Suppose the side AB—AC; we shall have .the angle C=R For, if the arc AD be drawn from the vertex A to the middle point D of the base, the two triangles... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...PROPOSITION XI. THEOREM. fn every 'sosceles spherical triangle, the angles opposite the equal sides are equal ; and conversely, if two angles of a spherical...AD be drawn from the vertex A to the middle point H of the base, the two triangles ABD, ACD, will have all the sides of the one respectively equal to... | |
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For, if the arc AD be drawn from the vertex A to the middle point D of the base, the two triangles ABD, ACD, will have all the sides of the one respectively equal to the corresponding sides of the other... 
