 A spherical angle is measured by the arc of the great circle described from its vertex as a pole and ) included between its sides (produced if necessary). Let AB, AC be arcs of great circles intersecting at A; AB...  Solid Geometry - Page 370by George Albert Wentworth - 1899 - 218 pagesFull view - About this book
 | William Chauvenet - 1893 - 340 pages
...of two arcs of great circles is equal to the angle of their planes, and is measured by the arc of a great circle described from its vertex as a pole and...included between its sides (produced if necessary). Corollary. All arcs of great circles drawn through the pole of a given great circle are perpendicular... | |
 | George Albert Wentworth - Geometry - 1895 - 468 pages
...PROPOSITION X. THEOREM. 722. A spherical angle is measured by the arc of a great circle described front its vertex as a pole and included between its sides (produced if necessary). D ^ ^ P. G Let AB, AC be arcs of great circles intersecting at A; AB' and AC', the tangents to these... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...of the surfaces and whose centre is in that line. 722. A spherical angle is measured by the arc of a great circle described from its vertex as a pole and...included between its sides (produced if necessary). 723. Cor. A spherical angle has the same measure as the dihedral angle formed by the planes of the... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 554 pages
...the diedral angle formed by their planes. II. Measured by the arc of a great circle described -with its •vertex as a pole and included between its sides, produced if necessary. GIVEN — AB and AB', two arcs of great circles whose planes form a diedral angle having the diameter... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 574 pages
...the diedral angle formed by their planes. II. Measured by the arc of a great circle described with its vertex as a pole and included between its sides, produced if necessary. GIVEN — AB and AB', two arcs of great circles whose planes form a diedral angle having the diameter... | |
 | Mathematics - 1898 - 228 pages
...of great circles on a sphere is equal to the angle of their planes, and is measured by the arc of a great circle described from its vertex as a pole and...included between its sides (produced if necessary). 5. Find the volume of the earth's atmosphere, if it extends 50 miles from the surface, assuming the... | |
 | Yale University - 1898 - 212 pages
...of great circles on a sphere is equal to the angle of their planes, and is measured by the arc of a great circle described from its vertex as a pole and...included between its sides (produced if necessary). 5. Find the volume of the earth's atmosphere, if it extends 50 miles from the surface, assuming the... | |
 | Harvard University - Geometry - 1899 - 39 pages
...great circles is equal to the angle between the planes of the circles, and is measured by the arc of a great circle described from its vertex as a pole and...included between its sides (produced if necessary). Corollary. All arcs of great circles drawn through the pole of a given great circle are perpendicular... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1902 - 394 pages
...sphere. SOLID GEOMETRY PROPOSITION VIII. THEOREM 708. A spherical angle is measured by the arc of a great circle described from its vertex as a pole,...included between its sides, produced if necessary. Hyp. DPE is the spherical angle formed by the great circles PAC and PBC. AB is an arc of a great circle... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1901 - 396 pages
...chord A'B' and arc A B'. PROPOSITION VIII. THEOREM 708. A. spherical angle is measured by the arc of a great circle described from its vertex as a pole,...included between its sides, produced if necessary. Hyp. DPE is the spherical angle formed by the great circles PAC and PBC. AB is an arc of a great circle... | |
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