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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

## Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - Geometry - 1854 - 436 pages
...described by ED+DC, is equal 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...diameter by the circumference of a great circle. Let ABCDE be a semicircle. Inscribe in it a regular semi•polygon, and from the centre O draw OF perpendicular...

## Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - Geometry - 1855 - 340 pages
...ED+DC, is equal to (HI+IP)x circumference ON, or equal to HPx circumference ON- 1 THEOREM 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...

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

Jeremiah Day - Logarithms - 1855 - 344 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 Conic Sections

Elias Loomis - Conic sections - 1857 - 242 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 diarrw ter by the circumference of a great circle. Let ABDF be the semicircle by the revolution of...

## Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1858 - 256 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 diame ter by the circumference of a great circle. Let ABDF be the semicircle by the revolution of which...

## Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 518 pages
...the circ. 0 1, or to the 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...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...

## Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 532 pages
...the circ. OI, or to the 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...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...

## Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 504 pages
...the circ. 0 I, or to the 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...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...