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" A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles. "
Higher Geometry and Trigonometry: Being the Third Part of a Series on ... - Page 8
by Nathan Scholfield - 1845 - 232 pages
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A Treatise on Special Or Elementary Geometry, Volumes 1-2

Edward Olney - Geometry - 1872 - 562 pages
...Hence this intersection is MN, which is consequently in the tangent plane. OF SPHERICAL TRIANGLES. 568. 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. The terms...
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A Treatise on Special Or Elementary Geometry

Edward Olney - Geometry - 1872 - 472 pages
...Hence this intersection is MN, which is consequently in the tangent plane. OF SPHERICAL TRIANGLES. 568. 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 semicircumfer. ence. The...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - Geometry - 1872 - 464 pages
...between the planes of its sides. Spherical angles may be acute, right, or obtuse. 2. 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 called sides of the polygon, and the points in...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Mathematics - 1872 - 382 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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Elements of Geometry and Trigonometry: From the Works of A.M. Legendre

Adrien Marie Legendre - Geometry - 1874 - 500 pages
...between the planes of its sides. Spherical angles may be acute, right, or obtuse. 2. 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 called sides of the polygon, and the points in...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Trigonometry - 1876 - 204 pages
...TRIGONOMETRY. DEFINITIONS. 146. 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...
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Elements of Geometry with Exercises for Students: An an Introduction to ...

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...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

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...
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Elements of Geometry: And the First Principles of Modern Geometry

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...
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Elementary Geometry: Including Plane, Solid, and Spherical Geometry, with ...

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...
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