The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this Art |
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Page 27
... gives the logarithm of their product ; and the difference of the logarithms , gives the logarithm of the quotient of the numbers : from the two pre- ceding logarithms , and the logarithm of 10 , which is 1 , a great many logarithms can ...
... gives the logarithm of their product ; and the difference of the logarithms , gives the logarithm of the quotient of the numbers : from the two pre- ceding logarithms , and the logarithm of 10 , which is 1 , a great many logarithms can ...
Page 29
... give the Logarithm sought , true to 8 , or 9 places ; and therefore it will be very easy to exa- mine any suspected Logarithm in the Tables . For the arrangement of Logarithms in a Table , the method of finding the Logarithm of any ...
... give the Logarithm sought , true to 8 , or 9 places ; and therefore it will be very easy to exa- mine any suspected Logarithm in the Tables . For the arrangement of Logarithms in a Table , the method of finding the Logarithm of any ...
Page 30
... give a na- tural number , that is , the product required . Whatever is carried from the decimal part of the Logarithm is to be added to the affirmative indices ; but subtracted from the negative . Likewise the in- dices must be added ...
... give a na- tural number , that is , the product required . Whatever is carried from the decimal part of the Logarithm is to be added to the affirmative indices ; but subtracted from the negative . Likewise the in- dices must be added ...
Page 50
... gives the other one . = Cor . 2. In every right - angled triangle , the two acute angles are 90 degrees , or to one right an- gle therefore 90 - one acute angle , gives the other . THEO . VÌ PL . 1. fig . 24 . If in any two triangles ...
... gives the other one . = Cor . 2. In every right - angled triangle , the two acute angles are 90 degrees , or to one right an- gle therefore 90 - one acute angle , gives the other . THEO . VÌ PL . 1. fig . 24 . If in any two triangles ...
Page 72
... of 60 ° from B , de- scribe 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 . XVIII . PL . 3. fig . 6 12 GEOMETRICAL.
... of 60 ° from B , de- scribe 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 . XVIII . PL . 3. fig . 6 12 GEOMETRICAL.
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Common terms and phrases
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
Popular passages
Page 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.
Page 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.
Page 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...
Page 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.
Page 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.
Page 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.
Page 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.
Page 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.