| Horatio Nelson Robinson - Geometry - 1860 - 468 pages
...the surface of a sphere which are bounded by the arcs of its great circles. 2. A Spherical Polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles, called the sides of the polygon. 3. The Angles of a spherical polygon... | |
| Benjamin Greenleaf - Geometry - 1861 - 638 pages
...passing two planes through those arcs ; as the angle formed on the edge EF, by the planes EAT, EDP. 505. A SPHERICAL TRIANGLE is a portion of the surface of a Sphere bounded by three arcs of great circles, each arc being less than a semi-circumference ; as AE D. These arcs are named the sides of the triangle... | |
| Benjamin Greenleaf - Geometry - 1862 - 532 pages
...TRIGONOMETRY. DEFINITIONS. 145. SPHERICAL TRIGONOMETRY treats of methods of computing spherical triangles. 146. A SPHERICAL TRIANGLE is a portion of the surface of a sphere bounded by three arcs of a great circle, each of which is less than a semi-circumference. The three planes in which the arcs... | |
| Benjamin Greenleaf - Geometry - 1862 - 518 pages
...passing two planes through those arcs ; as the angle formed on the edge EF, by the planes EAF, EDF. 505. A SPHERICAL TRIANGLE is a portion of the surface of a sphere boimded by three arcs of great circles, each arc being less than a semi-circumference ; as A ED. These... | |
| Benjamin Greenleaf - Geometry - 1863 - 504 pages
...TRIGON0METRY. DEFINITIONS. 145. SPHERICAL TRIGONOMETRY treats of methods of computing spherical triangles. 146. A SPHERICAL TRIANGLE is a portion of the surface of a sphere bounded by three arcs of a great circle, each of which is less than a semi-circumference. The three planes in which the arcs... | |
| Benjamin Greenleaf - Geometry - 1866 - 328 pages
...passing two planes through those arcs ; as the angle formed on the edge EF, by the planes EAP, EDP. 505. A SPHERICAL TRIANGLE is a portion of the surface of a sphere bounded by three arcs of great circles, each arc being less than a semi-circumference ; as AE D. These arcs are named the sides of the triangle... | |
| Benjamin Greenleaf - Geometry - 1868 - 340 pages
...passing two planes through those arcs ; as the angle formed on the edge EF, by the planes EAF, EDF. 505. A SPHERICAL TRIANGLE is a portion of the surface of a sphere bounded by three arcs of great circles, each arc being less than a semi-circumference ; as A ED. These arcs are named the sides of the triangle... | |
| Horatio Nelson Robinson - Geometry - 1868 - 276 pages
...the surface of a sphere which are bounded by the arcs of its great circles. 2. A Spherical Polygon is a portion of the surface of a sphere bounded by three or more arcs of great circles, called the aides of the potygon. 3. The Angles of a spherical polygon... | |
| Benjamin Greenleaf - 1869 - 516 pages
...TRIG0N0METRY. DEFINITI0NS. 145. SPHERICAL TRIGONOMETRY treats of methods of computing spherical triangles. 146. A SPHERICAL TRIANGLE is a portion of the surface of a sphere bounded by three arcs of a great circle, each of which is less than a semi-circumference. The three planes in which the arcs... | |
| William Chauvenet - Geometry - 1871 - 380 pages
...perpendicular B'C' can be described. SPHERICAL POLYGONS AND PYRAMIDS. 60. Definition. A spherical polygon is a portion of the surface 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... | |
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