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" The axis of a circle is a line passing through its centre, perpendicular to its plane : the points in which this line meets the surface of the sphere are called the poles of the circle. Either pole is at the same distance from every point of the circumference... "
Elements of Descriptive Geometry: With Their Application to Spherical ... - Page 116
by Charles Davies - 1840 - 174 pages
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Trigonometry, Plane and Spherical: With the Construction and Application of ...

Thomas Simpson - Trigonometry - 1810 - 152 pages
...the sphere, perpendicular to the plane of the circle : and the two points, where the axis intersects the surface of the sphere, are called the poles of the circle. 3. A spherical angle is the inclination of two great circles. 4. A spherical triangle is a part of...
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1837 - 216 pages
...Definition. The points, in which a radius of I the sphere, perpendicular to the plane of a circle, meets the surface of the sphere, "are called the poles of the circle; thus P, P' are the poles of AMB. 424. Corollary. Since the oblique line PA, PM, &c. are equally distant...
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1847 - 204 pages
...423. Definition. The points, in which a radius of the sphere, perpendicular to the plane of a circle, meets the surface of the sphere, are called the poles of the circle ; thus P, F are the poles of AMB. 424. Corollary. Since the oblique lines P.#, PM, SLc. are equally...
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Elements of Descriptive Geometry: With Their Application to Spherical ...

Charles Davies - Geometry, Descriptive - 1851 - 254 pages
...called its * The axis of a circle is a line passing through its centre, perpendicular to its plan,) : the points in which this line meets the surface of...foot of the perpendicular are equidistant from any po'nt of the line. The distance from the pole to any point of the circumference of a circle, measured...
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Elements of Descriptive Geometry: With Their Application to Spherical ...

Charles Davies - Geometry, Descriptive - 1854 - 262 pages
...maps. § 165. The line about which the earth revolves is called its * The axis of a circle is a line passing through its centre, perpendicular to its plane...foot of the perpendicular are equidistant from any po'nt of the line. The distance from the pole to any point of the circumference of a circle, measured...
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Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - Science - 1854 - 534 pages
...great or small, and be produced both ways to meet the surface of the sphere, the points in which that line meets the surface of the sphere, are called the poles of the circle. Thus, in Fig. 1, let CQD be the plane of a great circle, 0 being the centre of the sphere. Through...
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Pocket-book of Mechanics and Engineering: Containing a Memorandum of Facts ...

John William Nystrom - Engineering - 1854 - 296 pages
...centre and at right angles to the sectional circle is called an axis, and the two points where the axis meets the surface of the sphere are called the poles of the sectional circle. 0- 1 30 When the cutting plane goes through the centre of the sphere, it will pass...
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The Elements of Plane and Spherical Trigonometry

John Hind - Trigonometry - 1855 - 546 pages
...Small Circle. 6. DBF. The points E, F, in which the line OD, perpendicular to the plane of the section, meets the surface of the sphere, are called the Poles of the circle ABGC. In the diagram, E is termed the near, and F the remote pole of the small circle ABGC: and for...
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The weather guide-book

Alfred John Pearce (astrologer.) - 1864 - 152 pages
...). If a diameter of a sphere be drawn perpendicular to a great circle, its two extremities (where it meets the surface of the sphere) are called the poles of the great circle. Every great circle drawn through the poles of a great circle cuts this great circle at...
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Elements of Descriptive Geometry: With Their Application to Spherical ...

Charles Davies - Geometry, Descriptive - 1868 - 248 pages
...called its * The axis of a circle is a line passing through i$s centre, perpendicular to its plant? ; the points in which this line meets the surface of...equidistant from any point of the line. The distance from t?e pole to any point of the circumference of a circle, measured on the sphere ••* called the pofe*r...
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