 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...(HI '+ IP) x circ. ON, or equal to HP x circ. ON. PROPOSITION X. THEOEEM. The surface of a sphere is equal to the product of its diameter by the circumference...circle. Let ABCDE be a semicircle. Inscribe in it a regular semi-polygon, and from the centre 0 draw OF perpendicular to one of the sides. 216 B meter... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...to (HI+IP)xcirc. ON, or equal to HP x circ. ON. PROPOSITION X. THEOREM. The surface of a sphere is equal to the product of its diameter by the circumference...circle. Let ABCDE be a semicircle. Inscribe in it a regular semi•polygon, and from the centre O draw OF perpendicular to one of the sides. Let the... | |
 | Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 442 pages
...equal to (HI+IP)xcirc. ON, or equal to HPxcirc. ON. PROPOSITION X. THEOREM. The surface of a sphere is equal to the product of its diameter by the circumference...circle. Let ABCDE be a semicircle. Inscribe in it. a regular semi•polygon, and from the centre 0 draw OF perpendicular to one of the sides. Let the... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...circle of the sphere, and its altitude to trie diameter ; hence the convex surface of the cylinder, is equal to the product of its diameter by the circumference of a great circle, which is also the measure of the surface of a sphere. Cor. 4. Two zones upon equal spheres, are to... | |
 | Benjamin Greenleaf - Geometry - 1862 - 532 pages
...product of the axis AF by the circ. O I. PROPOSITION VIII. — THEOREM. 588. The surface of a sphere is equal to the product of its diameter by the circumference of a great circle. Let ABCDEF be a semicircle in which is inscribed any regular semi-polygon ; from the centre, O, draw OI... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...product of the axis AF by the circ. 0 1. PROPOSITION VIII. — THEOREM. 588. The surface of a sphere is equal to the product of its diameter by the circumference of a great circle. Let ABCDEF be a semicircle in which is inscribed any regular semi-polygon ; from the centre, 0, draw 0... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...product of the axis AF by the circ. 0 I. PROPOSITION VIII. — THEOREM. 588. The surface of a sphere is equal to the product of its diameter by the circumference of a great circle. Let ABCDEF be a semicircle in which is inscribed any regular semi-polygon ; from the center, 0, draw 0... | |
 | C. Davies - 1867 - 342 pages
...(HI+IP)x circumference ON, or equal to -/IP x circumference ONTHEOREM XXIIIThe surface of a sphere is equal to the product of its diameter by the circumference of a great circleLet ABCDE be a semicircle- Inscribe in it any regular semi-polygon, and from the centre O draw... | |
 | Benjamin Greenleaf - Geometry - 1868 - 340 pages
...product of the axis AF by the circ. 0 I. PKO POSITION VIII. — THEOREM. 588. The surface of a sphere is equal to the product of its diameter by the circumference of a great circle. Let ABCDEP be a semicircle in which is inscribed any regular semi-polygon ; from the centre, 0, draw 01... | |
 | Charles Davies - Geometry - 1870 - 392 pages
...(HI+IP)x circumference ON, or equal to HPx. circumference ON. THEOREM XXIII. The surface of a sphere is equal to the product of its diameter by the circumference...in it any regular semi-polygon, and from the centre О draw OF perpendicular to one of the sides. Let the semicircle and the semipolygon be revolved about... | |
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The surface of a sphere is equal to the product of its diameter by the circumference of a great circle. 
