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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 Geometry and Trigonometry

William Frothingham Bradbury - Geometry - 1872 - 262 pages
...great circle. A section made by a plane not passing through the centre is called a small circle. 61 i The surface of a sphere is equal to the product of...diameter by the circumference of a great circle. Let ABC DEF be the semicircle by whose revolution about the diameter AF, the sphere may be described; then...

## An Elementary Geometry

William Frothingham Bradbury - Geometry - 1872 - 124 pages
...passes through the centre of the sphere, its radius will be the radius of the sphere. THEOREM XV. 61 . The surface of a sphere is equal to the product of...diameter by the circumference of a great circle. Let ABCDE F be the semicircle by whose revolution about the diameter AF, the sphere may be described ;...

## Treatise on Plane and Solid Geometry for Colleges, Schools, and Private Students

Eli Todd Tappan - Geometry - 1873 - 288 pages
...circle is equal to the product of its circumference by one-fourth of the diameter. 788. Corollary — The area of the surface of a sphere is equal to the area of the curved surface of a circumscribing cylinder ; that is, a cylinder whose bases are tangent...

## New Elementary Geometry: With Practical Applications ; a Shorter Course Upon ...

Benjamin Greenleaf - Geometry - 1873 - 202 pages
...GH, HM, MN, NF, by the circ. OI, or to the product of the axis AF by the circ. O I. THEOREM IX. 361. The surface of a sphere is equal to the product of...diameter by the circumference of a great circle. Let ABCDEFbe& semicircle in which is inscribed any regular semi-polygon ; from the center, O, draw OI perpendicular...

## Mensuration of lines, surfaces, and volumes

David Munn - 1873 - 160 pages
...a spherical zone is equal to the product of its altitude by the circumference of the sphere 68 IX. The surface of a sphere is equal to the product of its diameter by the circumference of the sphere 70 X. The ratio of the surface of the lune to the whole surface of the sphere is the same...

## New Elementary Geometry: With Practical Applications : a Shorter Course Upon ...

Benjamin Greenleaf - Geometry - 1874 - 206 pages
...GH, HM, MN, NF, by the circ. O /, or to the product of the axis AF by the circ. O I. THEOREM IX. 361. The surface of a sphere is equal to the product of...diameter by the circumference of a great circle. Let ABCDEF\)e& semicircle in which is inscribed any regular semi-polygon ; from the center, O, draw OI...

## The Science of Arithmetic: For High Schools, Normal Schools, Preparatory ...

Edward Olney - Arithmetic - 1876 - 322 pages
...barrels does a cistern contain which is a circular cylinder 7 ft. in diameter and 8 ft. deep ? 25. The area of the surface of a sphere is equal to the area of 4 of its great circles.* What is the area of the surface of the earth, its radius being 3960...

## Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 416 pages
...shall also touch the surface of a given sphere. GEOMETUY. BOOK VIII. PROPOSITION XXX. THEOREM. 761. The area of the surface of a sphere is equal to the...diameter by the circumference of a great circle. Let ABCDE be the circumference of a great circle, and AD the diameter, and OA the radius of a sphere. We...