A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. The bounding arcs are the sides of the polygon ; the... Plane and Solid Geometry - Page 333by Arthur Schultze - 1901Full view - About this book
| Adrien Marie Legendre - Geometry - 1822 - 394 pages
...the name of right-angled, isosceles, equilateral, in the same cases as a rectileneal triangle. VIII. **A spherical polygon is a portion of the surface of a sphere** terminated by several arcs of great circles. IX. A lunc is that portion of the surface of a sphere,... | |
| Richard Wilson - Logarithms - 1831 - 372 pages
...°,/3==£ty = JL, У У У hence - (a' + /3' + y') is less than 2 тг, or a' + ß + y' . . . .2 vr. DEF. XI. **A spherical polygon is a portion of the surface of a sphere** contained by several arcs of great circles. 32. PROP. The sum of the sides of a spherical polygon is... | |
| Adrien Marie Legendre - Geometry - 1836 - 394 pages
...takes the Eame of right-angled, isosceles, equilateral, in the same cases as a rectilineal triangle. 3. **A spherical polygon is a portion of the surface of a sphere** terminated by several arcs of great circles. 4. A lune is that portion of the surface of a sphere,... | |
| Roswell Park - Best books - 1841 - 624 pages
...two parallel planes ; and the intercepted solid is called a spherical segment. A spherical triangle, **is a portion of the surface of a sphere, bounded by three** arcs of great circles, that is, circles whose planes pass through the centre. The convex surface of... | |
| Nathan Scholfield - 1845 - 894 pages
...takes the name of right-angled, isosceles, equilateral, in the same cases as a rectilineal triangle. 8. **A spherical polygon is a portion of the surface of a sphere,** terminated by several arcs of great circles. 9. A lune is that portion of the surface of a sphere which... | |
| Nathan Scholfield - Conic sections - 1845 - 244 pages
...takes the name of right-angled, isosceles, equilateral, in the same cases as a rectilineal triangle. 8. **A spherical polygon is a portion of the surface of a sphere,** terminated by several arcs of great circles. 9. A lune is that portion of the surface of a sphere which... | |
| Nathan Scholfield - Conic sections - 1845 - 542 pages
...takes the name of right-angled, isosceles, equilateral, in the same cases as a rectilineal triangle. 8. **A spherical polygon is a portion of the surface of a sphere,** terminated by several arcs of great circles. 9. A lune is that portion of the surface of a sphere which... | |
| Roswell Park - Best books - 1847 - 626 pages
...two parallel planes ; and the intercepted solid is called a spherical segment. A spherical triangle, **is a portion of the surface of a sphere, bounded by three** arcs of great circles, that is, circles whose planes pass through the centre. The convex surface of... | |
| George Roberts Perkins - Geometry - 1847 - 326 pages
...the name of right-angled, isosceles, equilateral, in the same cases as a rectilineal triangle. 14. **A spherical polygon is a portion of the surface of a sphere,** terminated by several arcs of great circles. 15. A lune is that portion of the surface of a sphere,... | |
| Charles Davies - Trigonometry - 1849 - 372 pages
...surface of a sphere, which is included between two great semi-circles meeting in a common dia.neter. 3. **A spherical polygon is a portion of the surface of a sphere** terminated by several arcs of great circles. 5. A spherical wedge, or ungula is that portion of the... | |
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