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The surface of a sphere is equal to the product of its diameter by the circumference of a great circle.
Elements of Geometry with Exercises for Students: An an Introduction to ... - Page 336
by Aaron Schuyler - 1876 - 372 pages

## An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1847 - 204 pages
...surface generated by the circular segment ABCD is a zone. Hence the area of the surface of a sphere is the product of its diameter by the circumference of a great circle. And, the area of a zone is the product of its altitude by the circumference of a great circle. 474....

## A Treatise of Plane Trigonometry, and the Mensuration of Heights and ...

Jeremiah Day - Logarithms - 1848 - 354 pages
...surface of a hemisphere is equal to *the product of its radius into the circumference of its base; and the surface of a sphere is equal to the product of its diameter into its circumference. Cor. 1. From this demonstration it follows, that the surface of any segment...

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

Charles Davies - Trigonometry - 1849 - 372 pages
...described by ED + DC, is equal to (HI +1P) x circ. ON, or equal to HP x circ., ON. PROPOSITION X. THEOREM. The surface of a sphere is equal to the product of...diameter by the circumference of a great circle. Let ABCDE be a semicircle. Inscribe in it any regular semi-polygon, and from the centre O draw OF perpendicular...

## Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 pages
...base of the frustum, its upper base, and a mean proportional between them. PROPOSITION VII. THEOREM. The surface of a sphere is equal to the product of its diameter b\j the circumference of a great circle. Let ABDF be the semicircle by the revolution of which the...

## Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 218 pages
...by ED+DC, is equal to (HI+IP)x circumference OJV, or equal to HPx circumference ON. THEOREM XXIII. The surface of a sphere is equal to the product of...diameter by the circumference of a great circle. Let ABODE be a semicircle. Inscribe in it any regular semi-polygon, and from the centre 0 draw OF perpendicular...

## Elementary Geometry: With Applications in Mensuration

Charles Davies - Geometry - 1850 - 238 pages
...by ED+DC, is equal to (HI+IP)x circumference ON, or equal to UP x circumference ON. THEOREM XXIII. The surface of a sphere is equal to the product of...diameter by the circumference of a great circle. Let ABCDE be a semicircle. Inscribe in it any regular semi-polygon, and from the centre O draw OF perpendicular...

## A Course of Mathematics: Containing the Principles of Plane Trigonometry ...

Jeremiah Day - Geometry - 1851 - 418 pages
...surface of a hemisphere is equal to the product of its radius into the circumference of its base ; and the surface of a sphere is equal to the product of its diameter into its circumference. Cor. 1. From this demonstration it follows, that the surface of any segment...

## Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1852 - 436 pages
...described by ED-\_DC, is equal to (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...diameter by the circumference of a great circle. Let ABCDE be a semicircle. Inscribe in it a regular semi-polygon, and from the centre 0 draw OF perpendicular...