| 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... | |
| 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... | |
| 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... | |
| 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,... | |
| 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... | |
| 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... | |
| 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... | |
| 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.... | |
| William James Milne - Geometry - 1899 - 398 pages
...AD • 2 iroH. Hence, § 326, S ^ rect. AD • 2 irR. Therefore, etc. QED 725. Cor. I. The area of **the surface of a sphere is equal to the product of...its diameter by the circumference of a great circle.** 726. Cor. II. § 725, area = AD x 2 irR = 2 B x 2 irR = 4 rf ; that is, the area of the surface of... | |
| George Albert Wentworth - Geometry - 1899 - 498 pages
...truth follows from § 722. BOOK VIII. SOLID GEOMETRY. PROPOSITION XXVII. THBOBBM. . 823. The area of **the surface of a sphere is equal to the product of its diameter by** ihe circumference of a great circle. AF a E Let S denote the surface, R the radius, of a sphere generated... | |
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