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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. "
Mensuration of lines, surfaces, and volumes - Page 46
by David Munn - 1873
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Volume 2

Mathematics - 1801 - 658 pages
...plane, and limited on both sides by the surface of the sphere, is called the axir of that circle. 4. The poles of a circle of the sphere are the extremities of its axis. 5. By the distance of ttus points on the surface of the sphere is meant the arc of a great...
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A Treatise of Plane and Spherical Trigonometry: In Theory and Practice ...

Francis Nichols - Plane trigonometry - 1811 - 162 pages
...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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Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - Astronomy - 1822 - 516 pages
...proposition. Cor. 5. Every circle of a sphere has two poles, one to each side of its plain, namely, the extremities of the diameter of the sphere, which is perpendicular to the plain. - Cor. 6 A great circle, which is at right angles to another great circle, passes through its...
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 584 pages
...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 are such...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

Mathematics - 1835 - 684 pages
...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 are such...
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Solid and Spherical Geometry and Conic Sections: Being a Treatise on the ...

A. Bell - Conic sections - 1837 - 180 pages
...plane, and limited on both sides, by the surface of the sphere, is called the axis of .that circle. 5. The poles of a circle of the sphere are the extremities of its axis. 6. By the distance of two points on the surface of the sphere is meant an arc of. a great...
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Mathematical Treatise: Containing I. The Theory of Analytical Functions, II ...

John West, Sir John Leslie - Analytic functions - 1838 - 664 pages
...the centre, are called great circles ; and all others, small circles. 224. The axis of a circle is the diameter of the sphere, which is perpendicular to the plane of that circle. 225. The poles of a circle are the extremities of its axis. 226. The arc of a great circle...
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A Treatise on Trigonometry, and on Trigonometrical Tables and Logarithms ...

John Hymers - Logarithms - 1841 - 244 pages
...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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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...described about it as 4 to 6, or as 2 to 3. > ; .< ELEMENTS GEOMETRY. SPHERICAL GEOMETRY. DEFINITIONS. I. The poles of a circle of the sphere are the extremities of that diameter of the sphere which passes through the centre of the circle perpendicularly to its plane....
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Uranography: Or, a Description of the Heavens; Designed for Academies and ...

Ezra Otis Kendall - Astronomy - 1845 - 404 pages
...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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