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" 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 the sides of the polygon ; the... "
Plane and Solid Geometry - Page 337
by Arthur Schultze, Frank Louis Sevenoak - 1901 - 370 pages
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1822 - 367 pages
...the name of right-angled, isosceles, equilateral, in the same cases as a rectileneal triangle. VIII. A spherical polygon is a portion of the surface of a sphere terminated by several arcs of great circles. IX. A lunc is that portion of the surface of a sphere,...
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A System of Plane and Spherical Trigonometry: To which is Added a Treatise ...

Richard Wilson - Logarithms - 1831 - 330 pages
...░,/3==úty = JL, У У У hence - (a' + /3' + y') is less than 2 тг, or a' + ▀ + y' . . . .2 vr. DEF. XI. A spherical polygon is a portion of the surface of a sphere contained by several arcs of great circles. 32. PROP. The sum of the sides of a spherical polygon is...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 359 pages
...takes the Eame of right-angled, isosceles, equilateral, in the same cases as a rectilineal triangle. 3. A spherical polygon is a portion of the surface of a sphere terminated by several arcs of great circles. 4. A lune is that portion of the surface of a sphere,...
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Pantology: Or, A Systematic Survey of Human Knowledge; Proposing a ...

Roswell Park - Best books - 1841 - 587 pages
...two parallel planes ; and the intercepted solid is called a spherical segment. A spherical triangle, is a portion of the surface of a sphere, bounded by three arcs of great circles, that is, circles whose planes pass through the centre. The convex surface of...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845
...takes the name of right-angled, isosceles, equilateral, in the same cases as a rectilineal triangle. 8. A spherical polygon is a portion of the surface of a sphere, terminated by several arcs of great circles. 9. A lune is that portion of the surface of a sphere which...
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Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

Nathan Scholfield - Conic sections - 1845 - 232 pages
...takes the name of right-angled, isosceles, equilateral, in the same cases as a rectilineal triangle. 8. A spherical polygon is a portion of the surface of a sphere, terminated by several arcs of great circles. 9. A lune is that portion of the surface of a sphere which...
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A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ...

Nathan Scholfield - Conic sections - 1845
...takes the name of right-angled, isosceles, equilateral, in the same cases as a rectilineal triangle. 8. A spherical polygon is a portion of the surface of a sphere, terminated by several arcs of great circles. 9. A lune is that portion of the surface of a sphere which...
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Pantology

Roswell Park - Best books - 1847 - 580 pages
...two parallel planes ; and the intercepted solid is called a spherical segment. A spherical triangle, is a portion of the surface of a sphere, bounded by three arcs of great circles, that is, circles whose planes pass through the centre. The convex surface of...
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Elements of Geometry: With Practical Applications ...

George Roberts Perkins - Geometry - 1847 - 308 pages
...the name of right-angled, isosceles, equilateral, in the same cases as a rectilineal triangle. 14. A spherical polygon is a portion of the surface of a sphere, terminated by several arcs of great circles. 15. A lune is that portion of the surface of a sphere,...
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Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 359 pages
...surface of a sphere, which is included between two great semi-circles meeting in a common dia.neter. 3. A spherical polygon is a portion of the surface of a sphere terminated by several arcs of great circles. 5. A spherical wedge, or ungula is that portion of the...
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