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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 - Σελίδα 333
των Arthur Schultze - 1901
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - 1822 - 394 σελίδες
...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 σελίδες
...°,/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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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...

Pantology

Roswell Park - 1847 - 626 σελίδες
...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 Geometry: With Practical Applications ...

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

Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - 1849 - 372 σελίδες
...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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