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" A zone is a portion of the surface of a sphere included between two parallel planes. "
New Plane and Solid Geometry - Σελίδα 282
των Webster Wells - 1908 - 298 σελίδες
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Elements of Geometry: Including Plane, Solid, and Spherical Geometry

George Washington Hull - 1807 - 408 σελίδες
...undecim = eleven, + Gr. gonia = an angle.] A polygon of eleven sides. Zone. [Gr. zone — a girdle.] A portion of the surface of a sphere included between two parallel planes. BIOGRAPHICAL NOTES. IN these notes will be found brief sketches of eminent mathematicians who have...

First Lessons in Geometry: With Practical Applications in Mensuration, and ...

Charles Davies - 1840 - 262 σελίδες
...poles of a sphere 1 17. When is a plane said to be tangent to a sphere '( Of the Round Bodies. 18. A zone is a portion of the surface of a sphere, included between two parallel planes which form its bases. Thus, the part of the surface included between the planes AE and DP is a zone....

A Practical System of Mensuration of Superficies and Solids ...

J. M. Scribner - 1844 - 130 σελίδες
...14. The height of a segment is the distance from the middle of its base to the convex surface. 15. A Zone is a portion of the surface of a sphere, included between two parallel planes which form its bases. If the bases are equally distant from the centre, it is 'called the middle zone....

Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 894 σελίδες
...grent circle. 19. A plane is tangent to a sphere, when their surfaces have but one point in common. 20. A zone is a portion of the surface of a sphere included between two parallel planes, which form its bases. One of ihese planes may be tangent to a sphere ; in which case, the zone has...

Elements of Drawing and Mensuration Applied to the Mechanic Arts: A Book for ...

Charles Davies - 1846 - 254 σελίδες
...in common with it. Thus, AB is a tangent plane. 50. What is a spherical zone ? what are its bases ? A zone is a portion of the surface of a sphere, included between two parallel planes which form its bases. Thus, the part of the surface included between the planes AE and DF is a zone....

Scribner's Engineers' and Mechanics' Companion: Comprising United States ...

J. M. Scribner - 1849 - 286 σελίδες
...segment. The height of a segment is the distance from the middle of its base to the convex surface. 10. A zone is a portion of the surface of a sphere, included hetween two parallel planes, which form its bases. If the bases are equally distant from the center,...

Elementary Geometry: With Applications in Mensuration

Charles Davies - 1850 - 218 σελίδες
...it has but one point in common with it. Thus, AB is a tangent plane, touching the sphere at B. 32. A zone is a portion of the surface of a sphere, included between two parallel planes which form its bases. Thus, the part of the surface included between the planes AE and DF is a zone....

Elementary Geometry: With Applications in Mensuration

Charles Davies - 1850 - 238 σελίδες
...it has but one point in common with it. Thus, AB is a tangent plane, touching the sphere at B. 32. A zone is a portion of the surface of a sphere, included between two parallel planes which form its bases. Thus, the purt of the surface included between the planes AE and DF is a zone....

Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - 1886 - 340 σελίδες
...when it has but one point in common with it- Thus, AB is a tangent plane, touching the sphere at B32 A zone is a portion of the surface of a sphere, included between two parallel planes which form its bases- Thus, the part of the surface included between the planes AE and DF is a zone-...

Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - 1854 - 436 σελίδες
...POLYGON is a portion of the surface of a sphere bounded by three or more arcs of great circles. 4. A LUNE is a portion of the surface of a sphere included between two semi•circles intersecting in a common diameter of the sphere. 5. A SPHERICAL WEDGE, or UNGULA, is...




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