 | Jacques Ozanam - Scientific recreations - 1803 - 660 pages
...of the arch of distance above the radius of the earth. Hence it will be found that this difference is equal to the square of the distance between the...always proportional to the square of the distance. From these principles is obtained the following table, which shews the height of the apparent above... | |
 | John Ainslie - Surveying - 1812 - 358 pages
...circle upon which those tables are constructed, but shall merely give the following position, vix. 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... | |
 | James Mitchell - Mathematics - 1823 - 666 pages
...true and apparent level, at any distance, may be found by a well-known property of the circle, to be equal to the square of the distance between the places,...always proportional to the square of the distance. Now the diameter of the earth being nearly 7958 miles, if we first take the distance = 1 mile, then the... | |
 | John Claudius Loudon - 1825 - 1250 pages
...like, the difference between the true and the apparent level must be taken into the account, which is equal to the square of the distance between the...always proportional to the square of the distance ; or from calculation almost eight inches, for the height of the apparent above tile true level at... | |
 | Alexander Jamieson - Industrial arts - 1829 - 654 pages
...sensible error, it will1 be ' 2A С : BD :: BD : CD, which therefore is = - — ,- — 2 AC 2AC nearly ; that is, the difference between the true and apparent...always proportional to the square of the distance. Now the diameter of the earth being nearly 7958 miles, if we в с' first take В С = 1 mile, then the... | |
 | Frederick Walter Simms - Astronomical instruments - 1834 - 134 pages
...sensible error. The proportion then will be2AC:BD::BD:CD, TI T-\ o TJ /--! o whence DC is = „ or nearly; that is, the difference between the true and apparent...always proportional to the square of the distance." Now the diameter of the earth being nearly 41,796,480 feet, or 7916 miles; if we first take BC equal one... | |
 | Frederick Walter Simms - Astronomical instruments - 1834 - 124 pages
...be2AC:BD::BD:CD, 'DT\ *i 'D I•1 O whence DC is = Q - or _ nearly ; that is, the difference ~ A vi ,£ A \j between the true and apparent level, is equal to the...always proportional to the square of the distance." Now the diameter of the earth being nearly 41,796,480 feet, or 7916 miles; if we first take BC equal one... | |
 | Jacques Ozanam - 1840 - 850 pages
...of the arch of distance above the radius of the earth. Hence it will be found that this difference is equal to the square of the distance between the...always proportional to the square of the distance. From these principles is obtained the following table, which shews the height of the apparent above... | |
 | Abraham Crocker - 1841 - 486 pages
...will be, As 2AC : BD : : BD ; CD, which therefore is = BT)2 TIP 2 SAP' °r 2AC nearty' *hat 's> *^e difference between the true and apparent level is...always proportional to the square of the distance. 278 LAND-MEASURING. The diameter of the earth being nearly 7958 miles ; EC2 if we first take BC = 1... | |
 | Basil Jackson - Military reconnaissance - 1847 - 410 pages
...AH may be taken as equal to AB. Then, 2CH: AB::AB:HB; or =£' very nearly. By which it appears, that the difference between the true and apparent level is equal to the square of the distance between the stations, divided by the diameter of the globe. It is, therefore, always proportional to the square... | |
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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. 
