 | William Nicholson - 1809 - 722 σελίδες
...ili'tant troin any 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 - 1821 - 384 σελίδες
...distant from any 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 - 1821 - 382 σελίδες
...distant from any 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... | |
 | Bengal council of educ - 1852 - 348 σελίδες
...are real, and 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 - 1868 - 528 σελίδες
...its chord, 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... | |
 | Charles Davies, Adrien Marie Legendre - 1869 - 470 σελίδες
...corresponding arcs of the small circle, and their sum is equal to the entire arc of the small circle. Cor. 3. The shortest distance between two points on the surface of a sphere, is measured on the arc of a great circle joining them. -(jV PROPOSITION H. THEOREM. The sum of the sides... | |
 | Geological Survey of New Jersey - 1870 - 578 σελίδες
...line we have just run is a straight line ; in other words, it is an arc of a great circle, which is the shortest distance between two points on the surface of a sphere. The present boundary, which was run in 1774, was run with the compass, and therefore would be approximately... | |
 | GEORGE H. COOK - 1874 - 52 σελίδες
...line we have just run is a straight line ; in other words it is an arc of a great circle, which is the shortest distance between two points on the surface of a sphere* The present Boundary which was run in 1774 was run with the compass, and therefore would be approximately... | |
 | William Frothingham Bradbury - 1877 - 262 σελίδες
...and C is any point in the arc For SPHERICAL GEOMETRY. of a great circle drawn from A to B. Therefore the shortest distance between two points on the surface of a sphere is the arc of a great circle joining the points. 181 Definition. If from the vertices of a spherical triangle... | |
 | De Volson Wood - 1882 - 360 σελίδες
...The shortest 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... | |
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The distance between two points on the surface of a sphere is the length of the minor arc of a great circle between them. 
