 | George D. Burr - Surveying - 1847 - 270 pages
...sensible error, and it becomes 2AC:BD::BD:CD, or - - = - very nearly. Hence the difference 2 AC 2 AC between the true and apparent level is equal to the square of the distance between the stations divided by the diameter of the earth, and, therefore, is always proportional to the square... | |
 | John Ainslie - 1849 - 586 pages
...upon which those tables arc constructed, but shall merely give the following position — viz. That the difference between the true and apparent level is equal to the square of the distance between the two places or stations divided by the earth's diameter, and consequently is always proportional... | |
 | Sir Henry Edward Landor Thuillier - Surveying - 1851 - 826 pages
...+ x without sensible error; we then have 2rx = ftz and x = — 2r Or in words : The difference (V) between the true and apparent level is equal to the square of the distance (t-) divided by the diameter of the earth (2r) and consequently is always proportional to the square... | |
 | Frederick Walter Simms - Leveling - 1856 - 258 pages
...that 2 r + x without sensible error ; we then have and x = — • Or in words : The difference (a?) between the true and apparent level is equal to the square of the distance (£2) divided by the diameter of the earth (2 r), and consequently is always proportional to the square... | |
 | Anthony Nesbit - Measurement - 1859 - 494 pages
...error, it will be 2AC : BD : : BD : CD, which is = BD« •+- 2AC, or BC2 •+• 2AC, that is, s 5 the difference between the true and apparent level...the places, divided by the diameter of the earth; consequently it is always proportional to the square of the distance. Suppose the diameter of the earth... | |
 | FREDERICK W. SIMMS - 1870 - 174 pages
...sensible error may be replaced by 2r, we then have * and x = — Zr Or in words : The difference (x) between the true and apparent level is equal to the square of the distance (t 2 ) divided by the diameter of the earth (2 r), and consequently is always proportional to the square... | |
 | Frederick Walter Simms - Leveling - 1870 - 220 pages
...sensible error may be replaced by 2r, we then have and x = — . 2r Or in words : The difference (x) between the true and apparent level is equal to the square of the distance (f} divided by the diameter of the earth (2 r), and consequently is always proportional to the square... | |
 | William Hamilton Richards - Military topography - 1883 - 256 pages
...secant of the arc of distance above the radius of the earth. By the property of the circle, curvature is equal to the square of the distance between the places, divided by the earth's diameter, 7916 miles. The curvature at the distance of one mile is then — = — mile = 7910... | |
 | George William Usill - Surveying - 1889 - 306 pages
...B c' : : B c' to o o', c c' therefore = 75 - , or — - nearly ; that is, the difference ZAC Zi AC between the true and apparent level is equal to the...divided by the diameter of the earth ; and consequently is always proportional to the square of the distance. Stat. miles. Feet. Now the polar axis of the... | |
 | William Ford Robinson Stanley - Surveying - 1901 - 580 pages
...of occasionally for check levelling. The rule for finding curvature is " That the difference between true and apparent level is equal to the square of the distance between two places or stations divided by the earths diameter" ; consequently, by this rule the correction... | |
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AC 2AC nearly ; that is, the difference between the true and apparent level is equal to the square of the distance between the places, divided by the diameter of the earth ; and consequently it is always proportional to the square of the distance. 
