. Elements of precise surveying and geodesy. - i .516- 8L — logSZ |(Z+Z) 40° 47 /cosZ C term + 1-5143 sinz) A cosL{a . c) 8M — ((5Z) term + 8M \{L+L) — 8Z — 73i°.82 (/ sinZ) (/cosZ) (/sinZ) tanZ / Prob. 67. Make the inverse ZJ/Z computation for the above data,taking L and J/for the station Bake Oven and L and M for thestation Smiths Gap. 68. MAP PROJECTIONS. 189. 68. Map Projectio
. Elements of precise surveying and geodesy. - i .516- 8L — logSZ |(Z+Z) 40° 47 /cosZ C term + 1-5143 sinz) A cosL{a . c) 8M — ((5Z) term + 8M \{L+L) — 8Z — 73i°.82 (/ sinZ) (/cosZ) (/sinZ) tanZ / Prob. 67. Make the inverse ZJ/Z computation for the above data,taking L and J/for the station Bake Oven and L and M for thestation Smiths Gap. 68. MAP PROJECTIONS. 189. 68. Map Projections. As a surface of double curvature cannot be developed on aplane it is impossible to devise any method of representing alarge area on a map without some distor-tion. The method of orthographic pro-jection is perfectly satisfactory for a smallarea, but when applied to the wholeearth, or even to a large county, thefeatures near the edges of the map arecrowded together so as to appear un-natural. For instance, in the lower dia-gram of the figure, which shows an ortho-graphic projection of the northernhemisphere on the plane of the equator,it is seen that the distance betweenparallels of latitude near the outer partsof the map is much less than near the central part; in theupper diagram, which is an orthographic projection on theplane of one of the meridians, a similar distortion is alsoobserved. A projection devised by Flamsted to avoid this distortionconsists in dividing the central meridian NS into parts pro-portional to the distance be-tween the parallels, and throu
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