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Applications of Plane and Spherical Trigonometry

Applications of Plane and Spherical Trigonometry


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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1880 edition. Excerpt: ... point, or place, is the angle made with the plane of the equator by a line drawn from this point, or place, to the centre of the earth. The latitude is measured by the arc of the meridian (of the point) which subtends the angle. This subtending arc is spoken of as the latitude, as its degree measure is the same as that of the inchnation of the bine to the plane of the equator. Latitude is reckoned from 0 to 90, north and south of the equator. 228. The difference of latitude of two places is the difference between the latitudes of the two places, difference being understood as algebraic, and north latitudes having the sign + and south latitudes the sign--. (a) To find, then, the difference of latitude of two places whose latitude is given, take the less from the greater if both are N. or both are S., but add the two if one is N. and the other S. (b) The difference of latitude of two places is measured on any arc of a meridian intercepted between the parallels of latitude of the places. Let the figure represent a hemisphere of the earth. Let iV and S be the poles; C the centre; and WDE the equator. Suppose A and B to be two points on the surface; VAH to be the parallel of latitude of A, and NA S to be its meridian j RLB to be the parallel of latitude, and NBS the meridian of B. Then it is to be proved that the difference of latitude of A and B is measured by AL, HB, VJt, or any other meridian arc intercepted between VAH and RLB. Let the meridian WAS intersect the parallel RLB in the point L, and the equator in the point D. Also, let the meridian NB8 intersect the parallel VAH in the point H, and the equator in the point G. Draw the straight Unes CA, CD, CB, and CO. The plane of the meridian NAS is perpendicular to the plane of the equator...


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Product Details
  • ISBN-13: 9781234378257
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 24
  • Spine Width: 1 mm
  • Width: 189 mm
  • ISBN-10: 1234378256
  • Publisher Date: 22 Jan 2013
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 64 gr


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