The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this Art |
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Σελίδα 27
Then , because the sum of the logarithms of numbers , gives the logarithm of their product ; and the difference of the logarithms , gives the logarithm of the quotient of the numbers : from the two preceding logarithms , and the ...
Then , because the sum of the logarithms of numbers , gives the logarithm of their product ; and the difference of the logarithms , gives the logarithm of the quotient of the numbers : from the two preceding logarithms , and the ...
Σελίδα 29
It may , however , be observed , that the operation is shorter in the larger prime numbers ; for when any given numberexceeds 400 , the first quotient , being added to the Logarithm of its next lesser number , will give the Logarithm ...
It may , however , be observed , that the operation is shorter in the larger prime numbers ; for when any given numberexceeds 400 , the first quotient , being added to the Logarithm of its next lesser number , will give the Logarithm ...
Σελίδα 30
Having found the Logarithms of the given num- . bers in the Table , add them together , and their • sum is the Logarithm of the product ; which Logarithm , being found in the Table , will give a natural number , that is , the product ...
Having found the Logarithms of the given num- . bers in the Table , add them together , and their • sum is the Logarithm of the product ; which Logarithm , being found in the Table , will give a natural number , that is , the product ...
Σελίδα 50
-the given angle will be equal to the sum of the other two ; or 180 -- the sum of two given angles , gives the other one . Cor . 2. In every right - angled triangle , the two acute angles are = 90 degrees , or to one right angle ...
-the given angle will be equal to the sum of the other two ; or 180 -- the sum of two given angles , gives the other one . Cor . 2. In every right - angled triangle , the two acute angles are = 90 degrees , or to one right angle ...
Σελίδα 72
... and between them so produced , with the chord of 60 ° from B , describe the arc ed ; which distance ed , measured on the same line of chords , gives the quantity of the angle BAC , as required ; this is plain from def . 17 . PROB .
... and between them so produced , with the chord of 60 ° from B , describe the arc ed ; which distance ed , measured on the same line of chords , gives the quantity of the angle BAC , as required ; this is plain from def . 17 . PROB .
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Συχνά εμφανιζόμενοι όροι και φράσεις
acres altitude angle Answer arch base bearing called centre chains chord circle Co-sec Co-sine Co-tang column compasses contained decimal degrees Dep Lat difference direct Dist distance divided divisions draw drawn east edge equal EXAMPLE extended feet figures four fourth give given glass greater ground half hand height Horizon inches laid land Lat Dep latitude length less logarithm manner marked measure meridian method minutes multiplied natural object observed opposite parallel perches perpendicular plane pole PROB proportion Quadrant quantity quotient radius reduce remainder right angles right line root rule scale Secant side sights sine square station Sun's suppose survey taken Tang tangent term theo third triangle true whole
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.