The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this Art. With a New Set of Accurate Mathematical TablesHarper, 1832 - 348 páginas |
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Página 24
... division ; to the remainder bring down the next period , and , adding to the divisor the figure of the root last found , proceed as before . * If any thing remain after continuing the process till all the figures in the given number ...
... division ; to the remainder bring down the next period , and , adding to the divisor the figure of the root last found , proceed as before . * If any thing remain after continuing the process till all the figures in the given number ...
Página 28
... division may be done by subtraction . Or , -Logarithms are the indices , or series of numbers in arith- metical progression , corresponding to another series of numbers in geometrical progression . Thus , ( 0 , 1 , 2 , 3 , 4 , 5 , 6 ...
... division may be done by subtraction . Or , -Logarithms are the indices , or series of numbers in arith- metical progression , corresponding to another series of numbers in geometrical progression . Thus , ( 0 , 1 , 2 , 3 , 4 , 5 , 6 ...
Página 30
... division can be made . Write the reserved quotients orderly under one another , the first being uppermost . Divide these quotients respectively by the odd numbers 1 , 3 , 5 , 7 , 9 , 11 , & c .; that is , divide the first reserved ...
... division can be made . Write the reserved quotients orderly under one another , the first being uppermost . Divide these quotients respectively by the odd numbers 1 , 3 , 5 , 7 , 9 , 11 , & c .; that is , divide the first reserved ...
Página 31
... division is here carried on may be readily perceived by dividing , in the first place , the given deci- mal by A , and the succeeding quotients by A2 ; then letting these quotients remain in their situation , as seen in the example ...
... division is here carried on may be readily perceived by dividing , in the first place , the given deci- mal by A , and the succeeding quotients by A2 ; then letting these quotients remain in their situation , as seen in the example ...
Página 34
... . 1.586553 8. Required the product of 637.8 and 89.27 , by logarithms . Ans . 56936.406 9. Required the product of 14 and 8.45 , by logarithms . Ans . 118.30 DIVISION . Two numbers being given , to find how 34 OF LOGARITHMS . '
... . 1.586553 8. Required the product of 637.8 and 89.27 , by logarithms . Ans . 56936.406 9. Required the product of 14 and 8.45 , by logarithms . Ans . 118.30 DIVISION . Two numbers being given , to find how 34 OF LOGARITHMS . '
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Términos y frases comunes
ABCD acres altitude arch azimuth base bearing blank line centre chains and links circle circumferentor co-sine column compasses contained cube root decimal diagonal diameter difference of latitude divided divisions divisor draw east ecliptic edge EXAMPLE feet field-book figure four-pole chains geometrical series given angle given number half the sum height Hence horizon glass hypothenuse inches instrument length logarithm manner measure meridian distance method multiplied needle nonius number of degrees object observed offsets opposite parallelogram perches perpendicular plane prob PROBLEM proportion protractor quadrant quotient radius rhombus right angles right line scale of equal SCHOLIUM screw secant sect sector semicircle side square root station stationary distance subtract suppose survey taken tangent theo theodolite THEOREM third trapezium triangle ABC trigonometry two-pole chains vane vulgar fraction whence
Pasajes populares
Página 173 - In like manner, when it is said, that " triangles on the same base, and between the same parallels, are equal...
Página 49 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Página 163 - RULE. From half the sum of the three sides subtract each side severally.
Página 41 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.
Página 97 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Página 41 - The radius of a circle is a right line drawn from the centre to the circumference.
Página 52 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Página 24 - The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second number plus the square of the second number.
Página 35 - DIVISION BY LOGARITHMS. RULE. From the logarithm of the dividend subtract the logarithm of the divisor, and the number answering to the remainder will be the quotient required.