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" The axis of a circle of a sphere is the diameter of the sphere which is perpendicular to the plane of the circle. The ends of the axis are called the poles of the circle. "
Plane and Spherical Trigonometry: With Stereographic Projections - Page 147
by James Atkins Bullard, Arthur Kiernan - 1922 - 230 pages
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Solid Geometry

John Charles Stone, James Franklin Millis - Geometry, Solid - 1916 - 196 pages
...path of a star is a circle. 436. Axis and poles of a circle. — The axis of a circle of a sphere is the diameter of the sphere which is perpendicular to the plane of the circle. The poles of a circle of a sphere are the extremities of the axis of the circle. Thus, if AB is the. diameter...
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Plane and Solid Geometry

William Betz - Geometry - 1916 - 536 pages
...the sphere whose center is the center of the sphere. 728. The axis of a great circle of a sphere is the diameter of the sphere which is perpendicular to the plane of the circle. The poles of a great circle are the ends of the axis. A quadrant is one fourth of a great circle. PRELIMINARY...
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Key to Wells and Hart's Geometry: By Webster Wells ... and Walter W. Hart ...

Webster Wells - Geometry - 1916 - 328 pages
...® parallel to the equator. Ex. 7. Four. Ex. 8. Eight. Ex. 9. The axis of any 0 of a sphere is that diameter of the sphere which is perpendicular to the plane of the circle. But that diameter will also be perpendicular to every plane parallel to the plane of the given circle...
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Plane Geometry

Walter Burton Ford, Charles Ammermann - Geometry, Modern - 1923 - 406 pages
...center is called a small circle of the sphere, as AB, Fig. 248. The axis of a circle of a sphere is the diameter of the sphere which is perpendicular to the plane of the circle. The poles of a circle of a sphere are the extremities of the axis of the circle. 346. Corollary 1. Through...
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Plane and Geodetic Surveying for Engineers, Volume 2

David Clark - Surveying - 1923 - 316 pages
...passing through the centre. Thus BCD is a small circle. (2) The axis of any circle of a sphere is that diameter of the sphere which is perpendicular to the plane of the circle, the ends of the axis being called the poles of the circle. Thus, P and P' are the poles of the great circle...
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Navigation: Practical and Theoretical

Sir David Wilson Barker, William Allingham - Navigation - 1923 - 190 pages
...surface made by a plane which does not pass through the centre. Axis of a circle of a sphere is that diameter of the sphere which is perpendicular to the plane of the circle. Poles are the extremities of the axis. A secondary to a circle is a great circle passing through its...
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Geometry - Plane, Solid and Analytic Problem Solver

Research & Education Association Editors, Ernest Woodward - Mathematics - 2012 - 1080 pages
...Solution; A circle of a sphere (circle O in figure) is a circle lying on the surface of the sphere. The diameter of the sphere, which is perpendicular to the plane of the circle and passes through its center is the axis of the circle (ÄB in figure). The endpoints of this axis...
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Quaternions and Cayley Numbers: Algebra and Applications

J.P. Ward - Mathematics - 1997 - 256 pages
...Figure 2.14 great circle Definition 2 The axis of any circle (small or great) of a sphere is the unique diameter of the sphere which is perpendicular to the plane of the circle. The extremities of such a diameter are called the poles of the circle. See Figure 2.15. Definition 3 The...
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Astrophysics: Stars and Galaxies

K.D. Abhyankar - Astrophysics - 2002 - 580 pages
...on the spherical surface are like straight lines on a plane surface. The axis of any great circle is the diameter of the sphere, which is perpendicular to the plane of the great circle; the extremities of the axis are called the poles of the great circle. The length...
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