The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this Art |
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Page 106
... ; and the proportions being direct ones , it follows ; that if the third term be greater or less than the first , the fourth term will be also greater or less than the second ; therefore the extent in your compasses 106 TRIGONOMETRY .
... ; and the proportions being direct ones , it follows ; that if the third term be greater or less than the first , the fourth term will be also greater or less than the second ; therefore the extent in your compasses 106 TRIGONOMETRY .
Page 137
... usual ) as d is over A , while the leader puts down his peg at e the eye can direct the horizon- tal position near enough , but if greater accuracy T were required , a quadrant applied to the chain , OF THE CHAIN . 137.
... usual ) as d is over A , while the leader puts down his peg at e the eye can direct the horizon- tal position near enough , but if greater accuracy T were required , a quadrant applied to the chain , OF THE CHAIN . 137.
Page 145
... direct line from A , towards G , where let a peg be left , as at c ; and again , the like distance from A in a direct line towards B , where another peg is also to be left , as at d : let the distance from to e be measured , and placed ...
... direct line from A , towards G , where let a peg be left , as at c ; and again , the like distance from A in a direct line towards B , where another peg is also to be left , as at d : let the distance from to e be measured , and placed ...
Page 146
... direct line from B towards A , where let a peg be left , as at f , and again , the like distance from B in a direct line towards C , where let also another peg be left , as ate ; the distance from e to f is to be inserted in the field ...
... direct line from B towards A , where let a peg be left , as at f , and again , the like distance from B in a direct line towards C , where let also another peg be left , as ate ; the distance from e to f is to be inserted in the field ...
Page 158
... direct the sights along each leg of the angle , and note down their respective bearings , as before ; the difference of these bearings , if less than 180 , will be the quantity of degrees contain- ed in the given angle ; but if more ...
... direct the sights along each leg of the angle , and note down their respective bearings , as before ; the difference of these bearings , if less than 180 , will be the quantity of degrees contain- ed in the given angle ; but if more ...
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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.