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" A zone is a portion of the surface of a sphere, included between two parallel planes which form its bases. "
Elements of Geometry and Trigonometry: With Applications in Mensuration - Pągina 133
per Charles Davies - 1855 - 324 pągines
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Elements of Geometry: Including Plane, Solid, and Spherical Geometry

George Washington Hull - 1807 - 408 pągines
...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...
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First Lessons in Geometry: With Practical Applications in Mensuration, and ...

Charles Davies - 1840 - 264 pągines
...poles of a sphere ? 17. When is a plane •aid to be tangent to a sphere 1 Of the Round Bodies. 18. A zone is a portion of the surface of a sphere, included...planes AE and DF is a zone. The bases of this zone are two circles whose diameters are AE and DF 19. One of the planes which bound a zone may become tangent...
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First Lessons in Geometry: With Practical Applications in Mensuration, and ...

Charles Davies - 1840 - 262 pągines
...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...of the surface included between the planes AE and DP is a zone. The bases of this zone are two circles whose diameters are AE and DP 19. One of the planes...
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A Practical System of Mensuration of Superficies and Solids ...

J. M. Scribner - 1844 - 130 pągines
...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. 16. The height of...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 894 pągines
...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 only a single base. 21....
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Elements of Drawing and Mensuration Applied to the Mechanic Arts: A Book for ...

Charles Davies - 1846 - 254 pągines
...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...planes AE and DF is a zone. The bases of this zone are two circles whose diameters are AE and DF. 51. When will a zone have but one base ? One of the planes...
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Scribner's Engineers' and Mechanics' Companion: Comprising United States ...

J. M. Scribner - 1849 - 286 pągines
...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,...
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Elementary Geometry: With Applications in Mensuration

Charles Davies - 1850 - 218 pągines
...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...planes AE and DF is a zone. The bases of this zone are the two circles whose diameters are AE and DF. B 33. One of the planes which bound a zone may become...
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Elementary Geometry: With Applications in Mensuration

Charles Davies - 1850 - 238 pągines
...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...two parallel planes which form its bases. Thus, the purt of the surface included between the planes AE and DF is a zone. The bases of this zone are the...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - 1854 - 436 pągines
...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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