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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... "
New Plane and Solid Geometry - Sivu 265
tekijä(t) Webster Wells - 1908 - 298 sivua
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Elements of Geometry: Including Plane, Solid, and Spherical Geometry

George Washington Hull - 1807 - 408 sivua
...spherical angle is the same as the measure of the dihedral angle formed by the planes of its sides. 661. A Spherical Polygon is a portion of the surface of...bounded by three or more arcs of great circles; as AECD, or EFO. The diagonal of a spherical polygon is the arc of a great circle connecting any two vertices...

Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - 1822 - 394 sivua
...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,...

A System of Plane and Spherical Trigonometry: To which is Added a Treatise ...

Richard Wilson - 1831 - 372 sivua
...°,/3==£ty = JL, У У У hence - (a' + /3' + y') is less than 2 тг, or a' + ß + 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...

Elements of Geometry and Trigonometry

Adrien Marie Legendre - 1836 - 394 sivua
...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,...

Pantology: Or, A Systematic Survey of Human Knowledge; Proposing a ...

Roswell Park - 1841 - 624 sivua
...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...

Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 894 sivua
...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...

A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ...

Nathan Scholfield - 1845 - 542 sivua
...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...

Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

Nathan Scholfield - 1845 - 244 sivua
...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...

Elements of Geometry: With Practical Applications ...

George Roberts Perkins - 1847 - 326 sivua
...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,...

Pantology

Roswell Park - 1847 - 626 sivua
...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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