 | 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... | |
 | 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
...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
...section made by a plane which does not pass through the centre is called a small circle. 27. Definition. The poles of a circle of the sphere are the extremities...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 a... | |
 | William Chauvenet - Geometry - 1872 - 382 pages
...section made by a plane which does not pass through the centre is called a small circle. 27. Definition. The poles of a circle of the sphere are the extremities...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 a... | |
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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. 
