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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. "
Mathematics: Compiled from the Best Authors, and Intended to be the Text ... - Side 187
av Samuel Webber - 1808
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Recreations in Mathematics and Natural Philosophy ...

Jacques Ozanam - 1803 - 660 sider
...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...
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Comprehensive treatise on land surveying

John Ainslie - 1812 - 358 sider
...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...
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Dictionary of the Mathematical and Physical Sciences, According to the ...

James Mitchell - 1823 - 666 sider
...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...
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An encyclopædia of agriculture

John Claudius Loudon - 1825 - 1250 sider
...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...
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A Dictionary of Mechanical Science, Arts, Manufactures, and ..., Volum 2

Alexander Jamieson - 1829 - 654 sider
...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...
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A Treatise on the Principal Mathematical Instruments Employed in Surveying ...

Frederick Walter Simms - 1834 - 134 sider
...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...
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A Treatise on the Principal Mathematical Instruments Employed in Surveying ...

Frederick Walter Simms - 1834 - 124 sider
...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...
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Recreations in mathematics and natural philosophy, recomposed by m. Montucla ...

Jacques Ozanam - 1840 - 850 sider
...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...
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Crocker's Elements of land surveying. To which are added, Tables of six ...

Abraham Crocker - 1841 - 486 sider
...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...
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A Treatise on Military Surveying: Including Sketching in the Field, Plan ...

Basil Jackson - 1847 - 410 sider
...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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