| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| Harvey Goodwin - Mathematics - 1846 - 500 pages
...plane passing through the centre is called a great circle; other sections are called small circles. The diameter of the sphere, which is perpendicular to the plane of any circle on the sphere, is called the axis of that circle ; and the points in which the axis meets... | |
| John Hymers - Logarithms - 1858 - 324 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 A CB. If MN be the... | |
| Isaac Todhunter - Spherical trigonometry - 1859 - 156 pages
...as the arc of a great circle joining the two points. 5. The axis of any circle of a sphere is *hat 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 - 1860 - 470 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... | |
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