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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

## A Treatise on Elementary Geometry, with Appendices Containing a Collection ...

William Chauvenet - Geometry - 1879 - 380 pages
...whose radius is the chord of the generating are of the zone. PROPOSITION XI.— THEOREM. -•o 41. The area of the surface of a sphere is equal to the product of its diameter by the tircumference of a great tirde. This follows directly from the preceding proposition, since the surface...

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

William Frothingham Bradbury - Arithmetic - 1879 - 446 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...

## Geometry, Old and New, Its Problems and Principles: A Paper

Benjamin Gratz Brown - Geometry - 1879 - 68 pages
...the product of a perimeter of a right section by an element of the surfa6e ; that of the sphere is the product of its diameter by the circumference of a great circle. The volume on the other hand of the cone is equal to one-third of base into the altitude ; of the cylinder,...

## Education, Volume 3

Education - 1883 - 684 pages
...be produced, they will meet in a straight line, belongs to the former division. The proposition that the area of the surface of a sphere is equal to the...its diameter by the circumference of a great circle, belongs to the latter division. Now, descriptive geometry deals immediately with relations of form...

## Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Conic sections - 1880 - 452 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...diameter by the circumference of a great circle. Let ABDF be the semicircle by the revolution of which the sphere is described. Inscribe in the semicircle...

## An Elementary Geometry: Plane, Solid and Spherical

William Frothingham Bradbury - Geometry - 1880 - 260 pages
...passes through the centre of the sphere, its radius will be the radius of the sphere. THEOREM XXVII. 95. The surface of a sphere is equal to the product of...diameter by the circumference of a great circle. Let ABCDEF be the semicircle by whose revolution about the diameter AF, the sphere may be described; then...

## Elements of Geometry

Simon Newcomb - Geometry - 1881 - 418 pages
...whence Surface = ±nr*. Now we have found the area of a circle of radius r to be ^(§480). Hence: 863. The area of the surface of a sphere is equal to the area of four great circles. The area of a hemisphere is equal to twice that of a great circle. CHAPTER...

## Essentials of Geometry

Alfred Hix Welsh - Geometry - 1883 - 326 pages
...to its projection on the axis multiplied by the circumference of the inscribed circle. THEOREM III. The surface of a sphere is equal to the product of...its diameter by the circumference of a great circle. A Let ACF be a semi-circumference, and AF its diameter; then will the surface generated by its revolution...