| Benjamin Greenleaf - Geometry - 1868 - 340 pages
...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,...corresponding sides of the other, namely, AD common, BD equal to DC, and AB equal to AC ; hence their angles must be equal ; consequently, the angles B... | |
| Benjamin Greenleaf - 1869 - 516 pages
...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,...corresponding sides of the other, namely, AD common, BD equal to DC, and AB equal to AC ; hence their angles must be equal ; consequently, the angles B... | |
| Charles Davies - Geometry - 1872 - 464 pages
...AB equal to AC: then will the angle C be equal to the angle B. For, draw the arc of a great circle from the vertex A, to the middle point D, of the base BC: theu in the two triangles ADB and ADC, we shall have the side AB equal to AC, by hypothesis, the... | |
| Adrien Marie Legendre - Geometry - 1874 - 500 pages
...AB equal to AC : then will the angle G be equal to the angle B. For, draw the are of a great circle from the vertex A, to the middle point D, of the base BC : then in the two triangles ADB and ADC, we shall have the side AB equal to AC, by hypothesis, the... | |
| Aaron Schuyler - Geometry - 1876 - 384 pages
...the isosceles spherical triangle ABC, letAB = AC; then, B — C. For, the arc AD of a great circle drawn from the vertex A to the middle point D of the base BC, divides the triangle ABC into two triangles, ABD, ACT), which are mutually equilateral, and hence,... | |
| Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...spherical triangle are equal, the triangle is isosceles. BOOK IX. For, draw the arc- of a great circle from the vertex A, to the middle point D, of the base BC : then in the two triangles ADB and ADC, we shall have the side AB equal to AC, by hypothesis, the... | |
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