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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

## 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...

## Elements of Geometry: Plane and Solid

John Macnie - Geometry - 1895 - 386 pages
...from Prop. III. PROPOSITION VIII. THEOREM. 700. The area of the surface of a sphere is measured by the product of its diameter by the circumference of a great circle. Given : S, the surface of a sphere generated by the revolution of the semicircle ABODE about the diameter...

## Syllabus of Geometry

George Albert Wentworth - Mathematics - 1896 - 68 pages
...radius is a 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...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
...are 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...its diameter by the circumference of a great circle. University of the State of New York Examination Department I34TH EXAMINATION PLANE TRIGONOMETRY Thursday,...

## Biennial Report, Volume 1; Volume 3; Volumes 5-7

Oklahoma (Ter.). Dept. of Public Instruction - 1893 - 820 pages
...parallelepipeds having equal altitudes are to each other as their bases. Demonstrate. 9. Show that the area of the surface of a sphere is equal to the area of four great circles of that sphere. 10 A — BCDE is a cone. Write the theorem for following...

## Plane and Solid Geometry

James Howard Gore - Geometry - 1898 - 232 pages
...limit; hence S = AF x 2 TT x R. QED 533. COR. I. Since AF=2R, S = 2 B x 2 „•# = 4 ,rR 2 . Therefore, the area of the surface of a sphere is equal to the area of four great circles. 534. COR. 2. The areas of the surfaces of two spheres are to each other...

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

Harvard University - Geometry - 1899 - 39 pages
...perpendicular 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...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....

## Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...holds, but 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...its diameter by the circumference of a great circle. AFOGE Let S denote the surface, R the radius, of a sphere generated by the semicircle ABCDE revolving...