The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this ArtJ.J. Harper, 1828 - 435 σελίδες |
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Σελίδα 26
... number , must be raised , in order to produce all the common , or natural numbers , therefore by assuming xa , then by squaring xa2 hence a2 = a , and consequently by division a = 1 , from whence it is evident , that the log . of 1 is ...
... number , must be raised , in order to produce all the common , or natural numbers , therefore by assuming xa , then by squaring xa2 hence a2 = a , and consequently by division a = 1 , from whence it is evident , that the log . of 1 is ...
Σελίδα 30
... natural number , and of finding the natural number corresponding to any given Logarithm , therein : like- wise for particular rules concerning the Indices , the reader will consult Table 1 , with its explanation , at the end of this ...
... natural number , and of finding the natural number corresponding to any given Logarithm , therein : like- wise for particular rules concerning the Indices , the reader will consult Table 1 , with its explanation , at the end of this ...
Σελίδα 31
... natural number , answering to the sum of the Logarithms , the reader will consult Table 1 , at the end of this Treatise . 5. Required the product of 23.14 and 50.62 , by OF LOGARITHMS : 31.
... natural number , answering to the sum of the Logarithms , the reader will consult Table 1 , at the end of this Treatise . 5. Required the product of 23.14 and 50.62 , by OF LOGARITHMS : 31.
Σελίδα 32
... numbers being given , to find how many times one is contained in the other by Logarithms . RULE . From the Logarithm of ... natural number will be the Quotient required . In this operation , the Index of the Divisor must be changed from ...
... numbers being given , to find how many times one is contained in the other by Logarithms . RULE . From the Logarithm of ... natural number will be the Quotient required . In this operation , the Index of the Divisor must be changed from ...
Σελίδα 35
... number by Logarithm's . Rule . Multiply the Logarithm of the given number by the Index of the proposed power , and the product will be the Logarithm , whose natural number is the power required . When a negative Index is thus multiplied ...
... number by Logarithm's . Rule . Multiply the Logarithm of the given number by the Index of the proposed power , and the product will be the Logarithm , whose natural number is the power required . When a negative Index is thus multiplied ...
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ABCD acres altitude Answer arch base bearing centre chains and links circle circumferentor Co-sec Co-tang column compasses contained cube root decimal difference of latitude Dist divided divisions divisor draw east Ecliptic edge EXAMPLE feet field-book figure four-pole chains given angle given number half the sum height Hence Horizon glass hypothenuse inches instrument length logarithm measure Meridian Altitude meridian distance method multiplied natural co-sine natural number natural sine Nonius number of degrees object observed off-sets opposite parallel parallelogram perches perpendicular plane prob PROBLEM proportional protractor Quadrant quotient radius rhombus right angles right line Secant sect semicircle Sextant side square root station subtract Sun's survey taken Tang tangent theo theodolite THEOREM trapezium triangle ABC trigonometry two-pole chains vane versed sine vulgar fraction whence