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The great-circle distance, orthodromic distance, or spherical distance is the distance between two points on a sphere, measured along the great-circle arc between them. This arc is the shortest path between the two points on the surface of the sphere. (By comparison, the shortest path passing through the sphere's interior is the chord between ...
California State Route 89. State Route 89 (SR 89) is a state highway in the U.S. state of California that travels in the north–south direction, serving as a major thoroughfare for many mountain communities in the Sierra Nevada and the Cascade Range. It starts from U.S. Route 395 near Topaz Lake, winding its way up to the 8,314-foot (2,534 m ...
Great-circle navigation. Great-circle navigation or orthodromic navigation (related to orthodromic course; from Ancient Greek ορθός (orthós) 'right angle' and δρόμος (drómos) 'path') is the practice of navigating a vessel (a ship or aircraft) along a great circle. Such routes yield the shortest distance between two points on the globe.
Noting that sin ( π 2 − φ) = cos (φ), the haversine formula immediately follows. To derive the law of haversines, one starts with the spherical law of cosines: As mentioned above, this formula is an ill-conditioned way of solving for c when c is small. Instead, we substitute the identity that cos (θ) = 1 − 2 hav (θ), and also ...
California State Route 20. State Route 20 (SR 20) is a state highway in the northern-central region of the U.S. state of California, running east–west north of Sacramento from the North Coast to the Sierra Nevada. Its west end is at SR 1 in Fort Bragg, from where it heads east past Clear Lake, Colusa, Yuba City, Marysville and Nevada City to ...
State Route 58 (SR 58) is a major east-west state highway in the U.S. state of California that runs across the Coast Ranges, the southern San Joaquin Valley, the Tehachapi Mountains, which border the southern Sierra Nevada, and the Mojave Desert. It runs between U.S. Route 101 near Santa Margarita and Interstate 15 in Barstow.