 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 337by Arthur Schultze, Frank Louis Sevenoak - 1901 - 370 pagesFull view - About this book
 | 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' (ยง 200). SPHE1UCAL POLYGONS AND SPHERICAL PYRAMIDS. DEFINITIONS. 649. A spherical polygon is a portion of the surface of...sphere bounded by three or more arcs of great circles; as ABCD. The bounding arcs are called the sides of the polygon. The angles of the polygon are the spherical... | |
 | 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...sphere 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... | |
 | William Chauvenet - Geometry - 1887 - 346 pages
...Proposition XIV.). SPHERICAL POLYGONS. 43. Definition. A spherical polygon is a portion of the sur. face of a sphere bounded by three or more arcs of great circles, as ABCD. Since the planes of all great circles pass through the centre of the sphere, the planes of... | |
 | Edward Albert Bowser - Geometry - 1890 - 420 pages
...intersection. When the two curves are arcs of great circles the angle is called a spherical angle. 693. A spherical polygon is a portion of the surface of...bounded by three or more arcs of great circles. The bounding arcs are the sides of the polygon; the points of intersection of the sides are the vertices... | |
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