A Treatise on Surveying,: Containing the Theory and Practice: : to which is Prefixed a Perspicuous System of Plane Trigonometry. : The Whole Clearly Demonstrated and Illustrated by a Large Number of Appropriate Examples. : Particularly Adapted to the Use of SchoolsKimber and Sharpless, no. 93, Market Street, and John Richardson, no. 244, Market Street., 1820 - 206 páginas |
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PROBLEM III . To multiply numbers , by means of logarithms . CASE 1. - When all the factors are whole or mixed numbers . RULE . Add together the logarithms of the factors , and the sum will be the logarithm of the product . EXAMPLES .
PROBLEM III . To multiply numbers , by means of logarithms . CASE 1. - When all the factors are whole or mixed numbers . RULE . Add together the logarithms of the factors , and the sum will be the logarithm of the product . EXAMPLES .
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PROBLEM IV . To divide numbers by means of Logarithms . CASE 1. When the dividend and divisor are both whole RULE . From the logarithm of the dividend , subtract or mixed numbers . .18 LOGARITHMS .
PROBLEM IV . To divide numbers by means of Logarithms . CASE 1. When the dividend and divisor are both whole RULE . From the logarithm of the dividend , subtract or mixed numbers . .18 LOGARITHMS .
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PROBLEM V. To involve a number to any power ; that is to find the square , cube , & c . of a number , logarithmically . RULE . Multiply the logarithm of the given number by the index of the power , viz . by 2 for the square , by 3 for ...
PROBLEM V. To involve a number to any power ; that is to find the square , cube , & c . of a number , logarithmically . RULE . Multiply the logarithm of the given number by the index of the power , viz . by 2 for the square , by 3 for ...
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PROBLEM VI . To extract any root of a number logarithmically . RULE . $ Divide the logarithm of the given number by the index of the root , that is by 2 for the square root , by 3 for the cube root , & c . and the quotient will be the ...
PROBLEM VI . To extract any root of a number logarithmically . RULE . $ Divide the logarithm of the given number by the index of the root , that is by 2 for the square root , by 3 for the cube root , & c . and the quotient will be the ...
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PROBLEM I. To bisect a right line , AB , Fig . 18 . Open the dividers to any distance more than half the line AB , and with one foot in A , describe the arc CFD ; with the same opening , and one foot in B , describe the arc CGD ...
PROBLEM I. To bisect a right line , AB , Fig . 18 . Open the dividers to any distance more than half the line AB , and with one foot in A , describe the arc CFD ; with the same opening , and one foot in B , describe the arc CGD ...
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ABCD according acres adjacent angle base bearing bearing and distance Calculation called centre circle Co-secant Co-sine Co-tang column Construction contained corresponding Courses decimal Deg Dist DEMONSTRATION describe difference distance divide division draw east equal EXAMPLES feet figures find the area given given angle given area given side greater half hand height hypothenuse join latitude and departure length less logarithm measured meeting meridian distance Note off-sets opposite parallel perches perpendicular preceding PROBLEM quotient radius ratio rectangle remainder Required the area right angle right line root RULE running scale Secant side side AC sine square station subtract survey taken Tang Tangent triangle ABC twice