 | Edward Olney - Geometry - 1872 - 472 pages
...the centre of the sphere, tlte common altitude of the pyramids being the radius of the sphere. 617. A Spherical Sector is a portion of a sphere generated...conical surfaces, or one conical and one plane surface. ILL. — Thus let ab be the diameter around which ' the semicircle aCb revolves to generate the sphere.... | |
 | Edward Olney - 1872 - 270 pages
...the centre of the sphere, the common altitude of the pyramids being the radius of the sphere. 617. A Spherical Sector is a portion of a sphere generated...conical surfaces, or one conical and one plane surface. ILL.—Thus let ab be the diameter around which the semicircle aCb revolves to generate the sphere.... | |
 | Edward Albert Bowser - Geometry - 1890 - 414 pages
...one of whose bounding planes touches the sphere. 786. A spherical sector is a portion of the volume of a sphere generated by the revolution of a circular sector about a diameter of the circle. 787. Let the sphere be generated by the revolution of the semicircle ACDEFB... | |
 | George Clinton Shutts - Geometry - 1894 - 412 pages
...is generated; any arc of the semi - circumference generates a zone. 697, A spherical sector is that portion of a sphere generated by the revolution of a circular sector about a diameter. FIG. 14. The pupil should form a ment.il picture of the different varieties of spherical... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 344 pages
...4, cor. 1. Spherical sectors. The upper one a spherical cone. DEFINITIONS. A spherical sector is the portion of a sphere generated by the revolution of a circular sector about any diameter of its circle as an axis. The base of the spherical sector is the zone generated by the... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 346 pages
...+ (r - a)2 + r (r — a)]. Th. 4, cor. 1. = i *a2 (3 r - a). DEFINITIONS. A spherical sector is the portion of a sphere generated by the revolution of a circular sector about any diameter of its circle as an axis. The base of the spherical sector is the zone generated by the... | |
 | Arthur A. Dodd, B. Thomas Chace - Geometry - 1898 - 468 pages
...segment is the portion of a sphere included between two parallel planes. 683. A spherical sector is the portion of a sphere generated by the revolution of a circular sector about a diameter. I. Thus, let P P' be the diameter of any circle, and POC a circular sector. When the semicircle... | |
 | George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...is the base of the pyramid. Thus, O-ABC is a spherical pyramid. 839. DEF. A spherical sector is the portion of a sphere generated by the revolution of a circular sector about any diameter of the circle of which the sector is a part. The base of a spherical sector is the zone... | |
 | William James Milne - Geometry - 1899 - 404 pages
...sphere bounded by a lune and the planes of its sides is called a Spherical Wedge, or Ungula. 741. The portion of a sphere generated by the revolution of a circular sector about a diameter of the circle is called a Spherical Sector. The zone generated by the arc of the circular... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1899 - 412 pages
...— $ita [r2 + (r — a)2 + r (r — a)] Prop. IV, cor. 1 497. Definitions. A spherical sector is the portion of a sphere generated by the revolution of a circular sector about any diameter of its circle as an axis. The base of the spherical sector is the zone generated by the... | |
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A spherical sector is the portion of a sphere generated by the revolution of a circular sector about any diameter of the circle of which the sector is a part. 
