 The area of a zone is equal to the product of its altitude by the circumference of a great circle.  Solid Geometry - Page 447by Clara Avis Hart, Daniel D. Feldman, Virgil Snyder - 1912 - 188 pagesFull view - About this book
 | Pierce Morton - Geometry - 1830 - 584 pages
...sphere; the surface of the sphere shall be equal to the convex surface of the cylinder. For the latter is equal to the product of its altitude, and the circumference of its base (3.) ; and its base is equal to the generating circle of the sphei-e, and its altitude to... | |
 | Mathematics - 1835 - 684 pages
...by any the same given difference mi: 170 aiidsc/¿. 175 (/) The convex surface of a right cylinder is equal to the product of its altitude and the circumference of its Tmse; or (if R represents the radius of the base, and A the axis) = 2 -r R A. 170 (g) The convex... | |
 | Elias Loomis - Conic sections - 1849 - 252 pages
...of a sphere is equal to the product of its diameter by the circumference of a great circle. Cor. 1. The area of a zone is equal to the product of its altitude by the circumference of a great circle. For the surface described by the lines BC, CD is equal to the... | |
 | Elias Loomis - Conic sections - 1857 - 242 pages
...of a sphere is equal to the product of its diameter by the circumference of a great circle. Cor. 1. The area of a zone is equal to the product of its al titude by the circumference of a great circle. For the surface described by the lines BC, CD is... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...of a sphere is equal to the product of its diameter by the circumference of a great circle. Cor, 1. The area of a zone is equal to the product of its al titude by the circumference of a great circle. For the surface described by the lines BC, CD is... | |
 | Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...and the distance between the parallel planes is the altitude of the zone or segment. 790. Theorem — The area of a, zone is equal to the product of its altitude by the circumference of a great circle. This is a corollary of the last demonstration (786). The area... | |
 | Eli Todd Tappan - Geometry - 1868 - 444 pages
...the distance between the parallel planes is the altitude of the zone or segment. *79O. Theorem. — The area of a zone is equal to the product of its altitude by the circumference of a great circle. This is a corollary of the last demonstration (786). The area... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...is that of a cylinder whose radius is OJand whose altitude is ab (9). PROPOSITION X.— THEOREM. 37. The area of a zone is equal to the product of its altitude by the tircumference of a great circle. .,^ -•• Let the sphere be generated by the revoluti^rf^f... | |
 | Elias Loomis - Geometry - 1871 - 302 pages
...of a sphere is equal to the product of its diameter by the circumference of a great circle. Cor. 1. The area of a zone is equal to the product of its al titude by the circumference of a great circle. For the surface described by the lines BC, CD is... | |
 | William Frothingham Bradbury - Geometry - 1872 - 124 pages
...A F. (42.) 90, Definition. The surfaces described by the arcs AB,BC, CD, &c. are called zones. 91 1 The area of a zone Is equal to the product of its altitude by the circumference of a great circle. 921 Zones on the same or equal spheres are as their altitudes.... | |
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