| Adrien Marie Legendre - Geometry - 1837 - 376 pages
...described by ED + DC, is equal to (HI + IP) x circ. ON, or equal to IIP x circ. ON. PROPOSITION X. THEOREM. **The surface of a sphere is equal to the product of...its diameter by the circumference of a great circle.** D E O A Let ABCDE be a semicircle. Inscribe in it any regular semi-polygon, and from the centre O draw... | |
| Benjamin Peirce - Geometry - 1837 - 216 pages
...surface generated by the circular segment ABCD is a zone. Hence the area of the surface of a sphere is **the product of its diameter by the circumference of a great circle.** And, the area of a zone is the product of its altitude by the circumference of a great circle. 473.... | |
| Jeremiah Day - Geometry - 1838 - 416 pages
...surface of a hemisphere is equal to the product of its radius into the circumference of its base ; and **the surface of a sphere is equal to the product of its diameter** into its circumference. Cor. 1. From this demonstration it follows, that the surface of any segment... | |
| Charles Davies - Geometrical drawing - 1840 - 262 pages
...circle. If it does not pass through the centre, the circle of section is called a small circle. 24. **The surface of a sphere is equal to the product of...its diameter by the circumference of a great circle.** Thus, the surface of the sphere whose centre is C, is equal to circumference ABDEy. AD. Q.UEsT. —... | |
| Adrien Marie Legendre - Geometry - 1841 - 288 pages
...circle. This axis FG will be at the same time the diameter of the circumscribed circle. THEOREM. 535. **The surface of a sphere is equal to the product of...its diameter by the circumference of a great circle.** Demonstration. 1. We say that the diameter of a sphere multiplied by the circumference of a great circle... | |
| Roswell Park - Best books - 1841 - 722 pages
...by its slant height, or distance from the vertex to any point of the circumference just named: and **the surface of a sphere, is equal to the product of...its diameter by the circumference of a great circle,** that is, of the sphere itself. The measure of the solidity of a cylinder, is the product of its base... | |
| James Bates Thomson - Geometry - 1844 - 268 pages
...ease, the centres and the point of contact lie in the same straight line. PROPOSITION IX. THEOREM. **The surface of a sphere is equal to the product of its diameter** into its circumference. GE OMETRY. polygon inscribed in a semicircle FBE, whose axis is EF : the semicircle... | |
| Nathan Scholfield - 1845 - 894 pages
...circle, it evidently follows that every section of a sphere is a circle. PROPOSITION XXII. THEOREM. **The surface of a sphere is equal to the product of its** circumference multiplied by its diameter. / For it has been shown (Prop. XVIII.) that the surface of... | |
| Charles Davies - Geometrical drawing - 1846 - 254 pages
...centre, the circle of section is called a small circle. 56. How do you find the surface of a sphere ? **The surface of a sphere is equal to the product of...its diameter by the circumference of a great circle.** Thus, the surface of the sphere whose centre is C, is equal to circumference ABDE x AD. EXAMPLES. 1.... | |
| Roswell Park - Best books - 1847 - 626 pages
...by its slant height, or distance from the vertex to any point of the circumference just named : and **the surface of a sphere, is equal to the product of...its diameter by the circumference of a great circle,** that is, of the sphere itself. The measure of the solidity of a cylinder, is the product of its base... | |
| |