 | Arthur Schultze, Frank Louis Sevenoak - 1901 - 396 σελίδες
...find the angles between chord A'B' and arc A B'. PROPOSITION VIII. THEOREM 708. A. spherical angle is measured by the arc of a great circle described...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 - 1902 - 394 σελίδες
...the radius of the inscribed sphere. SOLID GEOMETRY PROPOSITION VIII. THEOREM 708. A spherical angle is measured by the arc of a great circle described...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... | |
 | George Albert Wentworth - 1902 - 246 σελίδες
...called a spherical angle. PROPOSITION IX. THEOREM. 779. A spherical angle is measured by the arc of the great circle described from its vertex as a pole and...between its sides (produced if necessary). Let AB, AC be arcs of great circles intersecting at A; AB' and AC', the tangents to these arcs at A; EC the... | |
 | 1904 - 738 σελίδες
...of a cone is a circle, every section parallel to the base is a circle. 6 Prove that a spheric angle is measured by the arc of a great circle described...included between its sides produced if necessary. NOTE — Use w Instead of Its approximate value 3.1410. Second •, Find the surface of a sphere whose... | |
 | George Albert Wentworth - 1904 - 496 σελίδες
...called a spherical angle. PROPOSITION IX. THEOREM. 779. A spherical angle is measured by the arc of the great circle described from its vertex as a pole and...between its sides (produced if necessary). Let AB, AC be arcs of great circles intersecting at A; AB' and AC', the tangents to these arcs at A; BC the... | |
 | 1911 - 946 σελίδες
...sphere may be inscribed in or circumscribed about any given tetrahedron. [H5.] p. A spherical angle is measured by the arc of a great circle described...included between its sides (produced if necessary). [K5.] V. Spherical Triangles and Polygons. (Every theorem stated here may also be stated as n theorem... | |
 | Isaac Newton Failor - 1906 - 440 σελίδες
...circles of a sphere. PROPOSITION VIII. THEOREM 785 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. HYPOTHESIS. PAP' and PBP' are great circles to which PS and PT are tangents at P, and AB is an arc... | |
 | Isaac Newton Failor - 1906 - 431 σελίδες
...circles of a sphere. PROPOSITION VIII. THEOREM 785 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. HYPOTHESIS. PAP' and PBP' are great circles to which PS and PT are tangents at P, and AB is an arc... | |
 | United States. Office of Education - 1911 - 1154 σελίδες
...for cylinders and cones. 3. A spherical angle is measured by the arc of a great circle described with Its vertex as a pole and included between its sides, produced if necessary. 4. Given two points A and B in space, to find the locus of the center of a sphere of given radius which... | |
 | Arthur Schultze, Frank Louis Sevenoak - 1913 - 490 σελίδες
...is the angle between two intersecting great circles. PROPOSITION IX. THEOREM 730. A spherical angle is measured by the arc of a great circle described...included between its sides, produced if necessary. Given DPE, the spherical angle formed by the great circles PAC and PBC; AB, an arc of a great circle... | |
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The angle 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). Let AB and AB... 
