| Adrien Marie Legendre - Geometry - 1819 - 208 pages
...quadrants. 496. Sdiolivm. The spherical wedge comprehended by the planes AMB, jJJVB, is to the entire **sphere, as the angle A is to four right angles. For the** lunary surfaces being equal, the spherical wedges will also be equal ; therefore two spherical wedges... | |
| Adrien Marie Legendre - Geometry - 1822 - 367 pages
...spherical triangle, or the triangle whose angles are all right, and whose sides are quadrants. Scltolium. **The spherical ungula, bounded by the planes AMB, ANB,...the whole solid sphere, as the angle A is to four** rifht angles. For, the lunes being equal, the spherical ungulas will also be equal ; hence two spherical... | |
| Adrien Marie Legendre - Geometry - 1825 - 224 pages
...lunary surfaces being equal, the spherical wedges will also be equal ; therefore two spherical wedges **are to each other as the angles formed by the planes which** comprehend them. THEOREM. 497. Two symmetrical spherical triangles are equal in surface. Demonstration.... | |
| Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...quadrants. 496. Scholium. The spherical wedge comprehended by the planes AMB, ANB, is to the entire **sphere, as the angle A is to four right angles. For the** lunary surfaces being equal, the spherical wedges will also be equal ; therefore two spherical wedges... | |
| Adrien Marie Legendre - Geometry - 1825 - 280 pages
...quadrants. 496. Scholium. The spherical wedge comprehended by the planes AMB, ANB, is to the entire **sphere, as the angle A is to four right angles. For the** lunary surfaces being equal, the spherical wedges will also be equal ; therefore two spherical wedges... | |
| Adrien Marie Legendre - Geometry - 1828 - 346 pages
...spherical triangle, or the triangle whose angles are all right, and whose sides are quadrants. 496. **Scholium. The spherical ungula, bounded by the planes...each other, as the angles formed by the planes which** bound them. THEOREM. 497. Two symmetrical spherical triangles are equal in surface. Let ABC, DEF be... | |
| Adrien Marie Legendre - Geometry - 1830 - 344 pages
...right, and whose sides are quadrants. 496. Scholium. The spherical ungula, bounded by the planes AMI3, **ANB, is to the whole solid sphere, as the angle A...each other, as the angles formed by the planes which** bound them. THEOREM. \ 497. Two symmetrical spherical triangles are equal in surface. Let ABC, DEF... | |
| Adrien Marie Legendre - Geometry - 1836 - 359 pages
...which expression, A represents such a.part of unity, as the angle of the lune is of one right angle. **Scholium. The spherical ungula, bounded by the planes...as the angle A is to. four right angles. For, the** limes being equal, the spherical ungulas will also be equal ; hence two spherical ungulas are to each... | |
| Adrien Marie Legendre - Geometry - 1837 - 372 pages
...which expression, A represents such a part of unity, as the angle of the lune is of one right angle. **Scholium. The spherical ungula, bounded by the planes...each other, as the angles formed by the planes which** bound them. PROPOSITION XVIII. THEOREM. Two symmetrical spherical triangles are equivalent. Let ABC,... | |
| Adrien Marie Legendre - Geometry - 1838 - 384 pages
...>vhich expression, A represents such a part of unity, as the angle of the lune is of one right angle. **Scholium. The spherical ungula, bounded by the planes...being equal, the spherical ungulas will also be equal** ; henpe two spherical ungulas are to each other, as the angles formed by the planes which bound them.... | |
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