 | William Nicholson - 1809 - 722 pages
...of the polis of a great circle «ill be parallel tu the plane of that great circle. 7. The shortest distance between two points, on the surface of a sphere, is the arch of a great circle passing through these points. 8. If one great circle meets another, the angles... | |
 | William Nicholson - Natural history - 1821 - 384 pages
...of the poles of a great circle, will be parallel to the plane of that great circle. 7. The shortest distance between two points, on the surface of a sphere, is the arch of a great circle passing through these points. 8. If one great circle meets another, the angles... | |
 | William Nicholson - Natural history - 1821 - 382 pages
...of the poles of a great circle, will be parallel to the plane of that great circle. 7. The shortest distance between two points, on the surface of a sphere, is the arch of a great circle passing through these points. 8. If one great circle meets another, the" angles... | |
 | Henry Raper - 1840 - 108 pages
...flies," except when the course is due north or south, or east and west on the equator. The shortest distance between two points on the surface of a sphere is the portion or arc which they include of the circle passing through both the points and the centre of the... | |
 | Bengal council of educ - 1852 - 348 pages
...state why these data—insufficient in plane trigonometry—suffice here. 9. Prove that the shortest distance between two points on the surface of a sphere is the arc of a great circle passing through them. 10. Apply this to find the direction in which a ship must... | |
 | Charles Knight - Encyclopedias and dictionaries - 1868 - 528 pages
...although at first sight the reverse appears to bo the case. It is however certain, that the shortest distance between two points on the surface of a sphere is the arc of a great circle, the plane of which passes through the earth's centre. Now, if in the following... | |
 | William Frothingham Bradbury - Geometry - 1877 - 262 pages
...equal (VI. 7) ; and therefore the arcs of great circles PA, PB, PD are equal (III. 12). (». Scholium. The distance between two points on the surface of a sphere is the length of the arc of a great circle drawn between the points. . (See 1 7.) 1. Cor. 1. If G HI is a... | |
 | George Albert Wentworth - Geometry - 1877 - 436 pages
...tetrahedron intersect in the same point. ON DISTANCES MEASURED ON THE SURFACE OF THE SPHERE. 699. DEF. The distance between two points on the surface of a sphere is understood to be the arc of a great circle joining the points, unless otherwise stated. 700. DEF. The... | |
 | De Volson Wood - Geometry, Analytic - 1882 - 360 pages
...distance between two points is a straight line ; The evolutc of a circle is a point ; The shortest distance between two points on the surface of a sphere is the arc of a great circle ; the student might infer that it was a cumbersome and tedious process of proving... | |
 | William Frothingham Bradbury - Geometry - 1880 - 260 pages
...equal (VI. 7); and therefore the arcs of great circles PA, PB, PD are equal (III. 12). (i. Scholium. The distance between two points on the surface of a sphere is the length of the arc of a great circle drawn between the points. (See 17.) 7. Cor. 1. If G HI is a great... | |
| |
The distance between two points on the surface of a sphere is the length of the minor arc of a great circle between them. 
