 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.  Plane and Solid Geometry - Page 439by William Betz - 1916 - 507 pagesFull view - About this book
 | G. R. Smalley - Mathematics - 1862 - 190 pages
...made by a plane not passing through the centre. III. Poles of a Circle. — The extremities of that diameter of the sphere which is perpendicular to the plane of the circle. IV. Spherical Triangle. — The portion of the surface of a sphere contained by three arcs of great... | |
 | Isaac Todhunter - Spherical trigonometry - 1863 - 182 pages
...as the arc of a great circle joining the two points. 5. The axis of any circle of a sphere is that diameter of the sphere which is perpendicular to the plane of the circle ; the extremities of the axis are called the poles of the circle. The poles of a great circle are equally... | |
 | Horatio Nelson Robinson - Geometry - 1868 - 276 pages
...spherical polygon is called the base of the pyramid. 8. The Axis of a great circle of a sphere is that diameter of the sphere which is perpendicular to the plane of the circle. This diameter is also the axis of all small circles parallel to the great circle. 9. A Pole of a circle... | |
 | Selim Hobart Peabody - Astronomy - 1869 - 388 pages
...convenient to use the 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 are equidistant... | |
 | William Chauvenet - Geometry - 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 section... | |
 | William Chauvenet - Geometry - 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 section of... | |
 | Henry W. Jeans - 1872 - 142 pages
...the angles PCB and P'CB are spherical angles. (52.) The poles of a circle are the extremities of that diameter of the sphere which is perpendicular to the plane of the circle : thus P and P' are the poles of the circle EGF. They are also manifestly the poles of all circles... | |
 | 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 of... | |
 | Elias Loomis - Conic sections - 1877 - 458 pages
...does not pass through the centre. 4. The poles of a circle of a sphere are the extremities of that diameter of the sphere which is perpendicular to the plane of the circle. 5. A plane touches a sphere when it meets the sphere, but, being produced, does not cut it. 6. A spherical... | |
 | William Frothingham Bradbury - Geometry - 1877 - 262 pages
...AD is the same as the angle EA F. 4. The Poles of a circle of a sphere are the extremities of that diameter of the sphere which is perpendicular to the plane of the circle. This diameter is called the axis of the circle. Thus, the diameter of the sphere AG, perpendicular... | |
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