 | William Hughes - Astronomical geography - 1864 - 188 pages
...is to determine the direct distance between one place and another. The shortest distance between any two points on a sphere is the arc of a great circle which passes through them, and, as all great circles are equal, if we measure with a pair of compasses... | |
 | Charles Winthrop Crockett - Plane trigonometry - 1896 - 318 pages
...York, 40° 45'.4 N., 73° 58'.4 W., and Paris, 48° 501.2 N., 2° 20'.2 E. Ans. AB = 52° 2в'. 8. * The shortest distance between two points on a sphere is the arc of the great circle passing through the points. 174 F1o. 126. If the bearings of the great circle AB at... | |
 | American School (Chicago, Ill.) - Engineering - 1903 - 390 pages
...The center of the sphere is the common center of all great circles. The shortest distance between any two points on a sphere is the arc of a great circle passing through those points. A small circle is any circle whose plane does not pass through the center... | |
 | Electrical engineering - 1906 - 680 pages
...The center of the sphere is the common center of all great circles. The shortest distance between any two points on a sphere is the arc of a great circle passing through those points. A small circle is any circle whose plane does not pass through the center... | |
 | American School (Chicago, Ill.) - Engineering - 1906 - 550 pages
...The center of the sphere is the common center of all great circles. The shortest distance between any two points on a sphere is the arc of a great circle passing through those points. A small circle is any circle whose plane does not pass through the center... | |
 | Mathematics - 1912 - 610 pages
...definition of polar spherical triangles is made completely. The proof of the theorem that the shortest path between two points on a sphere is the arc of a great circle joining the points is made to depend on the concept of the length of a curve on a sphere as the limit... | |
 | Howard Carson Kidd - United States - 1921 - 464 pages
...commerce. The forces of which we are speaking are : 1. The curved, spherical surface of the earth. The shortest distance between two points on a sphere is the arc of a great circle, which passes between the two points and the center of the sphere. This factor, which does not ordinarily... | |
 | Roy Samuel MacElwee - Competition - 1925 - 486 pages
...currents, prevailing winds, islands, and continents. This is based on the fact that in solid geometry the shortest distance between two points on a sphere is the arc of a great circle. The great circle is made by passing a plane through the two points and the center of the sphere. Take... | |
 | Henry David Thoreau - Biography & Autobiography - 1995 - 360 pages
...sailors were often kept busy untwisting old pieces of rope to use in caulking the seams of the ship. 6 The shortest distance between two points on a sphere is the arc of a circular plane passed through the center of the sphere. thus ships (and now airplanes) navsgate between... | |
 | C. Edward Sandifer - Biography & Autobiography - 2007 - 426 pages
...about the axis represents the shortest line between its endpoints." Euler notes that the shortest line between two points on a sphere is the arc of a great circle, confirming what he already knew when he started the paper. Euler's final paragraph reads: The Celebrated... | |
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... set of prime numbers cannot be finite — since the product of any set of finite numbers plus one gives a new prime number — is as aesthetically neat in our times as it was in Euclid's. But a problem takes on extra luster if, in addition to its... 