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" The area of a zone is equal to the product of its altitude by the circumference of a great circle. "
Mathematics: Course of Study for Senior and Junior High Schools - Page 117
by Baltimore (Md.). Department of Education - 1924 - 169 pages
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

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...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

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...
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Elements of Geometry and Conic Sections

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...
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Elements of Geometry and Conic Sections

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...
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Elements of Geometry and Conic Sections

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...
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Treatise on Plane and Solid Geometry: For Colleges, Schools and Private ...

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...
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Treatise on Geometry and Trigonometry: For Colleges, Schools and Private ...

Eli Todd Tappan - Geometry - 1868 - 438 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...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

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

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...
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Elements of geometry, with ... trigonometry

André Darré - 1872 - 226 pages
...from equation (3), the convex surface of each cone (157, Cor. i.), or truncated cone, is measured by the product of its altitude and the circumference of a great circle of the sphere ; and the sum of the convex surfaces of all the cones and truncated cones is measured by the product...
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