General Theory of the Lambert Conformal Conic Projection: Cartography

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U.S. Government Printing Office, 1918 - Map projection - 38 pages
 

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Page 8 - A circular helix is given by the equations x = a cos t, y = a sin t, z = bt.
Page 5 - Those who preceded him in this work limited themselves to the development of a single method of projection, principally the perspective, but Lambert considered the problem of the representation of a sphere upon a plane from a higher standpoint and he stated certain general conditions that the representation was to fulfil, 5 the most important of these being the preservation of angles or conformality and equal surface or equivalence.
Page 6 - Lambert did not fully develop the theory of these two methods of projection, yet he was the first to express clearly the ideas regarding them. The former, conformality, has become of the greatest importance to pure mathematics, but both of them are of exceeding importance to the cartographer.