This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1872 Excerpt: ...Europe, or any of its kingdoms--is known as the conical projection, and is drawn as if projected from the centre of the earth on the surface of a cone cutting the surface of the earth in the parallels of latitude equidistant from the extremes and middle of the required limits. It is constructed in this way. Suppose the ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1872 Excerpt: ...Europe, or any of its kingdoms--is known as the conical projection, and is drawn as if projected from the centre of the earth on the surface of a cone cutting the surface of the earth in the parallels of latitude equidistant from the extremes and middle of the required limits. It is constructed in this way. Suppose the map is to embrace country between the 40th and 60th parallels. Fig. 7. Draw a vertical line as a primary meridian; and, according to the scale desired, set off on it spaces repre senting the degrees of latitude from 600 to 400. Through these draw the parallels of latitude as arcs of circles, the centre being, a point in the primary meridian produced, supposed to be the vertex of the intersecting cone. Let the circle NESW represent any meridian, of radius r, and let CAB be a generating line of the cone cutting the circle in the points A and B, which in the case we are considering are in latitude 550 and 450 respectively. Then OM, the perpendicular drawn from O, bisects AB, and the point represents the latitude of 500. Draw OA, and we have OM=r. cos 50 and CM=OM. cot 500.. CM=r. cos 50. cot 500, which, taking r, expressed in lengths of degrees, as 1800 Measuring, therefore, on our primary meridian, from the central point, a distance equal to 47-894 degrees, according to the scale used, determines the point which is the centre of the arcs described as parallels of latitude. On the arcs which represent the parallels of 450 and 550, in which the cone intersects the sphere, set off degrees of longitude, of the length proper to the latitude, measuring them each way from the primary meridian; straight lines, drawn through the corresponding degrees of longitude on these two parallels, are the meridians; these clearly converge to the centre of the para...
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