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" Axis of any circle of a sphere is that diameter of the sphere which is perpendicular to the plane of the circle. "
Elements of Plane and Spherical Trigonometry: With Numerous Practical Problems - Page 311
by Horatio Nelson Robinson - 1880 - 208 pages
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The British encyclopedia, or, Dictionary of arts and sciences, Volume 6

William Nicholson - 1809 - 722 pages
...two 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...
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A Treatise of Plane and Spherical Trigonometry: In Theory and Practice ...

Francis Nichols - Plane trigonometry - 1811 - 162 pages
...and divides the sphere into two equal' parts. 5. The poles of any circle are the two extremities of that diameter of the sphere which is perpendicular to the plane of the circle. 6. Hence either pole of any circle is equidistant from every part of its circumference; and each pole...
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British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Volume 11

William Nicholson - Natural history - 1821 - 384 pages
...two 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...
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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volume 11

William Nicholson - Natural history - 1821 - 382 pages
...two 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...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 584 pages
...as its plane passes through the centre of the sphere, or otherwise. 3. The axis of any circle of the sphere is that diameter of the sphere which is perpendicular to the plane of the circle; and the extremities of the axis are called the poles of the circle. 4. Parallel circles of a sphere...
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The Edinburgh Encyclopædia Conducted by David Brewster, with the ..., Volume 18

Encyclopedias and dictionaries - 1832 - 636 pages
...the centre of the sphere, the section is called a great circle; if not, it is a lesser circle. (2.) That diameter of the sphere, which is perpendicular to the plane of any circle of the sphere, is called the axis of that circle, and the extremities of this diameter are...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

Mathematics - 1835 - 684 pages
...as its plane passes through the centre of the sphere, or otherwise. 3. The axis of any circle of the sphere is that diameter of the sphere which is perpendicular to the plane of the circle ; and the extremities of the axis are called the poles of the circle. 4. Parallel circles of a sphere...
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A Treatise on Trigonometry, and on Trigonometrical Tables and Logarithms ...

John Hymers - Logarithms - 1841 - 244 pages
...same property, are called the nearer and more remote poles of the circle AB ; being the extremities of that diameter of the sphere which is perpendicular to the plane of the circle. They are also the poles of all circles of the sphere whose planes are parallel to ACB. If MN be the...
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Uranography: Or, a Description of the Heavens; Designed for Academies and ...

Ezra Otis Kendall - Astronomy - 1845 - 408 pages
...a diameter of the sphere, is called a Great Circle. The poles of any circle are the extremities of that diameter of the sphere which is perpendicular to the plane of the circle, or they are points on the surface of the sphere equally distant from all points in the circumference...
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The Quarterly Journal of the Geological Society of London, Volume 9

Geological Society of London - Electronic journals - 1853 - 560 pages
...point of a great circle of the sphere. There are, in fact, two such points at opposite extremities of that diameter of the sphere which is perpendicular to the plane of the great circle. Each of these points is also equidistant from every point in the circumference of...
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