Books Books
The surface of a sphere is equal to the product of its diameter by the circumference of a great circle.
Elements of Geometry and Trigonometry - Page 215
by Adrien Marie Legendre - 1852 - 432 pages

## Bradbury's Practical Arithmetic: Combining Oral and Written Exercises

William Frothingham Bradbury - Arithmetic - 1895 - 398 pages
...a sphere is a line passing through the centre, and limited in both directions by the surface. 498. The surface of a sphere is equal to the product of its circumference and its diameter. Surface of a Sphere = Circumference x Diameter. 58. What is the surface...

## Sight Arithmetic

William Frothingham Bradbury - Arithmetic - 1895 - 186 pages
...diameter of a sphere is a line passing through the centre, and limited in both directions by the surface. The surface of a sphere is equal to the product of its circumference and its diameter. Surface of a Sphere = Circumference x Diameter. Volume of a Sphere...

## Syllabus of Geometry

George Albert Wentworth - Mathematics - 1896 - 68 pages
...perpendicular erected at the middle point of the line and terminated by the axis. 763. The area of the surface of a sphere is equal to the product of...its diameter by the circumference of a great circle. 764. Cor. 1. The surface of a sphere is equivalent to four great circles. 765. Cor. 2. The areas of...

## Documents of the Senate of the State of New York, Volume 11

New York (State). Legislature. Senate - Government publications - 1897 - 1306 pages
...equivalent. 13 Prove that every section of a sphere made by a plane is a circle. 14-15 Prove that the area of the surface of a sphere is equal to the product of...its diameter by the circumference of a great circle. University of the State of New York Examination Department I34TH EXAMINATION PLANE TRIGONOMETRY Thursday,...

## Plane and Solid Geometry

James Howard Gore - Geometry - 1898 - 232 pages
...this value for AB x EH, we have area AB = CD x 2 TT x EF. QED PROPOSITION X. THEOREM. 532. The area of the surface of a sphere is equal to the product of...diameter by the circumference of a great circle. Let the sphere be generated by the revolution of the semicircle ABDF about the diameter AF, let O be the...

## Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1899 - 248 pages
...truth follows from § 722. BOOK VIII. SOLID GEOMETRY. PROPOSITION XXVII. THEOREM. 823. The area of the surface of a sphere is equal to the product of...its diameter by the circumference of a great circle. AF Let S denote the surface, R the radius, of a sphere generated by the semicircle ABCDE revolving...

## Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 496 pages
...AE and CD coincide, and the truth follows from § 722. PROPOSITION XXVII. THEOREM. 823. The area of the surface of a sphere is equal to the product of...its diameter by the circumference of a great circle. AF oa E Let S denote the surface, R the radius, of a sphere generated by the semicircle ABCDE revolving...

## Syllabus of Propositions in Geometry: Intended for Use in Preparing Students ...

Harvard University - Geometry - 1899 - 39 pages
...erected at the middle of the line and terminated by the axis. THEOREM XXIII. 29 THEOREM XXIV. The area of the surface of a sphere is equal to the product of...its diameter by the circumference of a great circle. 8= 2-jrr X 2r=47rr2. Hence the surface of a sphere is equivalent to four great circles. Corollary....