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" 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. "
Mathematical Treatise: Containing I. The Theory of Analytical Functions, II ... - Page 49
de John West, Sir John Leslie - 1838 - 574 pages
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A Treatise on Plane and Spherical Trigonometry: With Their Most Useful ...

John Bonnycastle - 1806 - 464 pages
...equal parts ; as AB c D. 5. The poles of any circle, are the two extremities of that diameter, or axis, of the sphere, which is perpendicular to the plane of that circle ; thus pp are the poles of the circle ABC. 6. Hence, either pole of any circle is equidistant from...
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The British encyclopedia, or, Dictionary of arts and sciences, Volume 6

William Nicholson - 1809 - 722 pages
...great cheles can have a common pole. 5. The poles of a great circle are the two extremities of that diameter of the sphere, which is perpendicular to the plane of that circle, u. A plane passing through three points on the surface of the sphere, equally ili'tant troin any of...
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British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Volume 11

William Nicholson - 1821 - 384 pages
...great circles can have a common pole. 5. The poles of a great circle are the two extremities of that diameter of the sphere, which is perpendicular to the plane of that circle. 6. A plane passing through three points on the surface of the sphere, equally distant from any of the...
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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volume 11

William Nicholson - 1821 - 382 pages
...great circles can have a common pole. 5. The poles of a great circle are the two extremities of that diameter of the sphere, which is perpendicular to the plane of that circle. 6. A plane passing through three points on the surface of the sphere, equally distant from any of the...
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An Elementary Course of Mathematics: Designed Principally for Students of ...

Harvey Goodwin - 1846 - 500 pages
...plane passing through the centre is called a great circle; other sections are called small circles. The diameter of the sphere, which is perpendicular to the plane of any circle on the sphere, is called the axis of that circle ; and the points in which the axis meets...
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The Elements of Spherical Trigonometry

James Hann - 1849 - 82 pages
...great circle of the sphere. 8. The poles of any circle are the two extremities of that diameter or axis of the sphere which is perpendicular to the plane of that circle ; and therefore either pole of any circle is equidistant from every part of its circumference, and,...
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The Elements of Astronomy: For Colleges, Schools, and Private Students ...

Selim Hobart Peabody - 1869 - 388 pages
...word circle to denote what is strictly the circumference 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 at its center. The poles of the circle are the ends of the axis. The poles of a great circle...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1871 - 380 pages
...is called a small circle. 27. Definition. The poles of a circle of the sphere are the extremities of the diameter of the sphere which is perpendicular to the plane of the circle ; and this diameter is called the axis of the circle. PROPOSITION VII.— THEOREM. 28. Every...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1872 - 382 pages
...is called a small circle. 27. Definition. The poles of a circle of the sphere are the extremities of the diameter of the sphere which is perpendicular to the plane of the circle; and this diameter is called the axis of the circle. PROPOSITION VII.—THEOREM. 28. Every...
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Mensuration of lines, surfaces, and volumes

David Munn - 1873 - 160 pages
...great circle, any other a small circl:. The poles of a circle of the sphere are the extremities of the diameter of the sphere, which is perpendicular to the plane of the circle, and the diameter is called the axis of the circle. Let the sphere be generated by the revolution...
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