| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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.... | |
| 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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