The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this ArtEvert Duyckinck, 1814 - 508 σελίδες |
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Σελίδα 20
... RULE For extracting any Root whatever . Find by trial a number , which , when involved to the power denoted by the index of the requir- ed root , shall come nearest to the given number , whether greater or less ; and let that number be ...
... RULE For extracting any Root whatever . Find by trial a number , which , when involved to the power denoted by the index of the requir- ed root , shall come nearest to the given number , whether greater or less ; and let that number be ...
Σελίδα 21
... rule , " says Dr. Hut- ton , " of which that for the cube root is a particular case , and is the best adapted for practice and for memory , of any that I have yet seen . It was first discovered in this form by myself , and the ...
... rule , " says Dr. Hut- ton , " of which that for the cube root is a particular case , and is the best adapted for practice and for memory , of any that I have yet seen . It was first discovered in this form by myself , and the ...
Σελίδα 24
... RULE For Computing the Logarithms of Numbers . Let the sum of its proposed number and the next less number be called A. Divide 0.8685889638 × † † The number 0.8685889638+ is the quotient of 2 divided by 2.302585093 , which is the ...
... RULE For Computing the Logarithms of Numbers . Let the sum of its proposed number and the next less number be called A. Divide 0.8685889638 × † † The number 0.8685889638+ is the quotient of 2 divided by 2.302585093 , which is the ...
Σελίδα 29
... Rule , the Logarithms of the intermediate num- bers are easily found by composition and division . It may , however , be observed , that the operation is shorter in the larger prime numbers ; for when any given number exceeds 400 , the ...
... Rule , the Logarithms of the intermediate num- bers are easily found by composition and division . It may , however , be observed , that the operation is shorter in the larger prime numbers ; for when any given number exceeds 400 , the ...
Σελίδα 30
... rules concerning the Indices , the read- er will consult Table 1 , with its explanation , at the end of this Treatise . MULTIPLICATION , Two , or more numbers being given , to find their pro- duct by Logarithms . RULE . Having found the ...
... rules concerning the Indices , the read- er will consult Table 1 , with its explanation , at the end of this Treatise . MULTIPLICATION , Two , or more numbers being given , to find their pro- duct by Logarithms . RULE . Having found the ...
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acres altitude Answer arch base bearing blank line centre chains and links circle circle of latitude circumferentor Co-sec Co-tang column compasses contained decimal difference Dist divided divisions draw east Ecliptic edge EXAMPLE feet field-book figures fore four-pole chains geometrical series given angle given number half the sum Horizon glass hypothenuse inches instrument latitude length logarithm measure meridian distance minutes multiplied natural sine Nonius number of degrees object observed off-sets opposite parallelogram perches perpendicular plane pole pole star PROB proportion protractor Quadrant quotient radius right angles right line scale of equal SCHOLIUM screw Secant sect semicircle side sights square root station stationary distance subtracted survey taken tance Tang tangent theo theodolite trapezium triangle ABC trigonometry two-pole chains vane versed sine vulgar fraction whence
Δημοφιλή αποσπάσματα
Σελίδα 52 - 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.
Σελίδα 39 - The Circumference of every circle is supposed to be divided into 360 equal parts, called Degrees ; and each degree into 60 Minutes, each minute into 60 Seconds, and so on.
Σελίδα 18 - DISTINGUISH the given number into periods of two figures each, by putting a point over the place of units, another over the place of hundreds, and so on, which points shew the number of figures the root will consist of. 2. " FIND the greatest square number in the first, or left hand period...
Σελίδα 120 - 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.
Σελίδα 31 - 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.
Σελίδα 87 - On the line of lines make the lateral distance 10, a transverse distance between 8 on one leg, and 6 on the other leg. On the line of sines make the lateral distance 90, a transverse distance from 45 to 45 ; or from 40 to 50 ; or from 30 to 60 ; or from the sine of any degree to their complement.
Σελίδα 7 - RULE. Divide as in whole numbers, and from the right hand of the quotient point off as many places for decimals as the decimal places in the dividend exceed those in the divisor.
Σελίδα 82 - ... longer than the intermediate adjacent ones, these are whole degrees ; the shorter ones, or those of the third order, are 30 minutes. From the centre, to 60 degrees, the line of sines is divided like the line of tangents ; from 60 to 70, it is divided only to every degree ; from 70 to 80, to every two degrees ; from 80 to 90, the division must be estimated by the eye.