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. 1900 edition. Excerpt: ...etc. Where it is desired to make a projection on any other scale than that bearing an even decimal relation of inches to miles, projection tables, XXIV, XXV, and XXVI, should be used. The first of these, Table XXIV, gives the exact lengths of degrees of parallels and meridians in meters and in statute miles, ...
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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. 1900 edition. Excerpt: ...etc. Where it is desired to make a projection on any other scale than that bearing an even decimal relation of inches to miles, projection tables, XXIV, XXV, and XXVI, should be used. The first of these, Table XXIV, gives the exact lengths of degrees of parallels and meridians in meters and in statute miles, and these may be reduced to inches or other scale. Tables XXV and XXVI may be used in projecting large-scale maps, approximately within the limits of the United States, between latitudes 240 and 510 north. The first of each pair of columns in Table XXV gives the latitude, and opposite to it the corresponding length of one minute of parallel in meters. These may be reduced to any map scale by consultation of reduction tables (Chap. XXX.) Corresponding values less than one minute may be obtained by moving the decimal point one place, which will give the value for six seconds. Thus, in Table XXV, for latitude 280 the length of one minute of parallel is 1639.4 meters. The length of six seconds of the same parallel is obtained by moving the decimal point one place to the left, 163.94 meters. For the lengths of meridional arcs the quantities dm are obtained for a given latitude from Table XXVI in the following manner: For the latitude and for the number of degrees of longitude included in the projection, the length of dm as given in meters, which is to be found in the first column, is to be laid off both to right and left of the vertical central meridian. At each of the points thus found perpendiculars are to be erected which will be parallel to the central meridian, and the lengths of the corresponding ordinates dp are to be laid off upon them. Through the extremities of each of these perpendiculars draw lines which will give the confining...
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