| William Frothingham Bradbury - Geometry - 1877 - 262 pages
...circle are in the circumference of the second. SPHEIUCAL GEOMETRY. SPHERICAL POLYGONS. DEFINITIONS. 12. A Spherical Polygon is a portion of the surface of a sphere included by three or more arcs of great circles, each of these arcs being less than a semi-circumference... | |
| William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...conversely, if CA _L CD, each arc passes through the pole of the other. SPHERICAL POLYGONS. XII. DEF. 1. A spherical polygon is a portion of the surface of...sphere bounded by three or more arcs of great circles, each of which is less than a semi-circumference. DEF. 2. A spherical triangle is a spherical polygon... | |
| William Frothingham Bradbury - Geometry - 1880 - 260 pages
...poles of the first circle are in the circumference of the second. SPHERICAL POLYGONS. DEFINITIONS. 12. A Spherical Polygon is a portion of the surface of a sphere included by three or more arcs of great circles, each of these arcs being less than a seini-circumference... | |
| Charles Scott Venable - 1881 - 380 pages
...takes the name of scalene, isosceles, equilateral, in the same cases as a rectilineal triangle. 9. A spherical polygon is a portion of the surface of a sphere terminated by several arcs of great circles. MN (Fig. Def. 12) is a spherical polygon. The spherical... | |
| Edward Olney - Geometry - 1883 - 352 pages
...segments whose altitudes are ac and a6. QED Fiq. 336. SPHERICAL POLYGONS AND SPHERICAL PYRAMIDS. 744. A Spherical Polygon is a portion of the surface of a sphere bounded by several arcs of great circles. 745. The Diagonal of a spherical polygon is an arc of a great circle... | |
| Alfred Hix Welsh - Geometry - 1883 - 326 pages
...angle included between the planes of its sides, and therefore it may be either rif/ht or oblique. 2. A Spherical Polygon is a portion of the surface of a sphere bounded by arcs of great circles. The bounding arcs are the sides, their consecutive inclinations are the angles,... | |
| Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...angle included between the planes of its sides. Spherical angles may be acute, right, or obtuse. 2. A SPHERICAL POLYGON is a portion of the surface of a sphere bounded by arcs of three or more great circles. The bounding arcs are called sides of the polygon, and the points... | |
| Webster Wells - Geometry - 1886 - 392 pages
...BOB' is measured by the arc BB' (§ 200). SPHE1UCAL POLYGONS AND SPHERICAL PYRAMIDS. DEFINITIONS. 649. A spherical polygon is a portion of the surface of...ABCD. The bounding arcs are called the sides of the polygon. The angles of the polygon are the spherical angles (§ 647) formed by the adjacent sides,... | |
| William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...planes are perpendicular to its plane (VI., Proposition XIV.). SPHEEICAL POLYGONS. 43, Definition. A spherical polygon is a portion of the surface of...bounded by three or more arcs of great circles, as A BCD. Since the planes of all great circles pass through the centre of the sphere, the planes of the... | |
| William Chauvenet, William Elwood Byerly - Geometry - 1887 - 342 pages
...planes are perpendicular to its plane (VI., Proposition XIV.). SPHERICAL POLYGONS. 43. Definition. A spherical polygon is a portion of the surface of...bounded by three or more arcs of great circles, as A BCD. Since the planes of all great circles pass through the centre of the sphere, the planes of the... | |
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