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" 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. "
The Elements of Solid Geometry - Page 56
by William C. Bartol - 1893 - 95 pages
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A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ...

John Bonnycastle - Trigonometry - 1806 - 464 pages
...of the arcs of two great circles of the sphere, which meet in a point on its surface ; as AB c. 8. The measure of a spherical angle, is the arc of a great circle, intercepted between its two legs, and drawn at the distance of 90° from its angular point ; thus A...
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A pocket encyclopędia, or library of general knowledge, Volumes 1-4

Edward Augustus Kendall - 1811 - 466 pages
...intersection of two great circles; or, it is the inclination of the planes of the two great circles. Fig. 7. The measure of a spherical angle, is the arc of a great circle of the sphere, intercepted between the two planes which form the angle, and which cuts the said plane...
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Pocket Encyclopedia: Or, A Dictionary of Arts, Sciences, and ..., Volume 1

Edward Augustus Kendall - Encyclopedias and dictionaries - 1811 - 962 pages
...intersection of two great circles; or, it is the inclination of the planes of the two great circles. Fig. 7. The measure of a spherical angle, is the arc of a great circle of the sphere, intercepted between the two planes which form the angle, and which cuti the said plane...
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A Treatise of Plane and Spherical Trigonometry: In Theory and Practice ...

Francis Nichols - Plane trigonometry - 1811 - 128 pages
...surface of a sphere, contained between the arcs of two great circles which intersect each other. 8. The measure of a spherical angle is the arc of a great circle intercepted between the two arcs which form the angle, and drawn at the distance of 90° from the angular...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 pages
...angle formed by the tangents of those arcs at the point of their intersection ; and is measured by the arc of a great circle described from its vertex as a pole, and included between its sides. gents of these arcs at the point A, and it is measured by the arc DB...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1858 - 234 pages
...angle formed by the tangents of those arcs at the point of their intersection ; and is measured by the arc of a great circle described from its vertex as a pole, and included between its sides. Let BAD be an angle formed by two arcs of great circles; then will...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 514 pages
...the angle formed by the tangents of those arcs at the point of their intersection, and is measured by the arc of a great circle described from its vertex as a pole, and intercepted between its sides, produced if necessary. Let ВАС be an angle formed Ъу the two...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 504 pages
...the angle formed by the tangents of those arcs at the point of their intersection, and is measured by the arc of a great circle described from its vertex as a pole, and intercepted between its sides, produced if necessary. Let BAC be an angle formed by the two arcs...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1871 - 380 pages
...57. 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' be two arcs of great circles,...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1872 - 382 pages
...57. 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' be two arcs of great circles,...
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