 | Aaron Schuyler - Geometry - 1876 - 384 pages
...2. A spherical angle is the angle of two arcs of great circles of a sphere. 3. A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles. 5. A diagonal of a spherical polygon is an arc of a great circle dividing... | |
 | Elias Loomis - Conic sections - 1877 - 458 pages
...touches a sphere when it meets the sphere, but, being produced, does not cut it. 6. A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles, each of which is less than a semi-circumference. These arcs are called... | |
 | William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...each arc passes through the pole of the other. SPHERICAL POLYGONS. XII. DEF. 1. A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles, each of which is less than a semi-circumference. DEF. 2. A spherical... | |
 | Edward Olney - Geometry - 1883 - 344 pages
...Hence this intersection is MM, which is consequently in the tangent plane. OF SPHERICAL TRIANGLES. 688. A Spherical Triangle is a portion of the surface of a sphere bounded by three arcs of great circles. In the present treatise these arcs will be considered as each less than a semicircumference; and the... | |
 | Edward Olney - Geometry - 1886 - 348 pages
...Hence this intersection is MM, which is consequently in the tangent plane. OF SPHERICAL TRIANGLES. 688. A Spherical Triangle is a portion of the surface of a sphere bounded hy three arcs of great circles. In the present treatise these arcs will be considered as each less... | |
 | Webster Wells - Geometry - 1886 - 392 pages
...arc BB' (§ 200). SPHE1UCAL POLYGONS AND SPHERICAL PYRAMIDS. DEFINITIONS. 649. A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles; as ABCD. The bounding arcs are called the sides of the polygon. The... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...perpendicular to its plane (VI., Proposition XIV.). SPHEEICAL POLYGONS. 43, Definition. A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles, as A BCD. Since the planes of all great circles pass through the centre... | |
 | Edwin Schofield Crawley - Trigonometry - 1890 - 184 pages
...TRIGONOMETRY. INTRODUCTION. 85. SPHERICAL TRIGONOMETRY treats of the solution of spherical triangles. A spherical triangle is a portion of the surface of a sphere bounded by three arcs of great circles of the sphere. NOTE. — Before undertaking the study of spherical trigonometry the student should... | |
 | Edward Albert Bowser - Geometry - 1890 - 420 pages
...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 a sphere bounded by three or more arcs of great circles. The bounding arcs are the sides of the polygon; the points of intersection... | |
 | William Chauvenet - 1893 - 340 pages
...perpendicular to its plane (VI., Proposition XIV.). SPHERICAL POLYGONS. 43. Definition. A spherical polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles, as A BCD. Since the planes of all great circles pass through the centre... | |
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A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles. 
