 | Charles Davies - Geometrical drawing - 1840 - 262 pages
...in a circle, and the surface of a sphere in the circumference of a circle. 23. If the intersecting plane passes through the centre of the sphere, the circle is called a great circle. If it does not pass through the centre, the circle of section is called a small circle. 24. The surface... | |
 | Charles Davies - Geometrical drawing - 1846 - 254 pages
...55. When does a plane cut a sphere in a great circle ? when in a small circle? If the intersecting plane passes through the centre of the sphere, the circle is called a great circle. If it does not pass through the centre, the circle of section is called a small circle. 56. How do... | |
 | Thomas Hill - Geometry - 1863 - 164 pages
...is therefore the centre, and that line of intersecting surfaces the circumference of a circle. 438. When the plane passes through the centre of the sphere,...circle. All great circles, in the same sphere, are manifestly equal. All other circles on the sphere are called small circles. 439. A spherical triangle... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...equal. 3. It will be proved that every section of a sphere by a plane is a circle. If the plane pass through the centre of the sphere, the circle is called a great circle; if not, a small circle. Corottary.—The diameter of a great circle is also 'the diameter of the sphere;... | |
 | John Humphrey Spanton - Geometrical drawing - 1895 - 608 pages
...the projections required. GREAT CIRCLES. If a sphere is intersected by a plane, the section is always a circle. When the plane passes through the centre of the sphere, the section is called a great circle; eg the equator and also the meridians are great circles. Let us take... | |
 | John Henry Walsh - Algebra - 1903 - 296 pages
...diameters. 455. If a sphere be cut through at any part, the cut surface will be a circle. When the cutting plane passes through the centre of the sphere, the circle is called a great circle ; other circles are called small circles. FXGC is a great circle ; HYIB and JLEZ are small circles.... | |
 | Daniel Alexander Murray - 1906 - 466 pages
...circles on a sphere. «. Definitions. The section in which a sphere is cut by a plane is called a Great Circle when the plane passes through the centre of the sphere ; the section is called a Small Circle when the cutting plane does not pass through the centre of the sphere.... | |
 | Daniel Alexander Murray - Spherical trigonometry - 1908 - 132 pages
...circles on a sphere. a. Definitions. The section in which a sphere is cut by a plane is called a Great Circle when the plane passes through the centre of the sphere ; the section is called a Small Circle when the cutting plane does not pass through the centre of the sphere.... | |
 | Daniel Alexander Murray - Plane trigonometry - 1908 - 358 pages
...circles on a sphere. a. Definitions. The section in which a sphere is cut by a plane is called a Great Circle when the plane passes through the centre • of the sphere ; the section is called a Small Circle when the cutting plane does not pass through the centre of the sphere.... | |
 | William Charles Brenke - Algebra - 1910 - 374 pages
...Geometry. — We devote this article to a review of some facts concerning the geometry of the sphere. (a) A plane section of a sphere is a circle. When the plane passes through the center, the section is a great circle; otherwise a small circle. (b) Any two great circles intersect... | |
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Circle when the plane passes through the centre of the sphere ; the section is called a Small Circle when the cutting plane does not pass through the centre of the sphere. 
