The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this Art |
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Page 4
... line , by themselves . Then , beginning at the right hand column of figures , add in the same manner as in whole num- bers , and put the decimal point , in the sum di- rectly beneath the other points . EXAMPLES . Add 4.7832 3.2543 ...
... line , by themselves . Then , beginning at the right hand column of figures , add in the same manner as in whole num- bers , and put the decimal point , in the sum di- rectly beneath the other points . EXAMPLES . Add 4.7832 3.2543 ...
Page 37
... line has length but no breadth ; as AB . fi- gures 1 and 2 . 4. The extremities of a line are points , as the extremities of the line AB are the points A and B. figures 1 and 2 . 5. A right line is the shortest that can be drawn between ...
... line has length but no breadth ; as AB . fi- gures 1 and 2 . 4. The extremities of a line are points , as the extremities of the line AB are the points A and B. figures 1 and 2 . 5. A right line is the shortest that can be drawn between ...
Page 38
... line ) or the opening between them , is called an angle . Thus in fig . 4. the inclination of the line AB to the ... right ones , it is then called a right - lined angle , as ABC , fig . 4. If one of them be right and the other curved ...
... line ) or the opening between them , is called an angle . Thus in fig . 4. the inclination of the line AB to the ... right ones , it is then called a right - lined angle , as ABC , fig . 4. If one of them be right and the other curved ...
Page 39
... line from the centre to the circumference : whence all radii of the same or of equal circles are equal , 15. The diameter of a circle is a right line drawn thro ' the centre , and terminating in opposite points of the circumference ...
... line from the centre to the circumference : whence all radii of the same or of equal circles are equal , 15. The diameter of a circle is a right line drawn thro ' the centre , and terminating in opposite points of the circumference ...
Page 40
... right sine of an arc , is a perpendicular line let fall from one end thereof , to a diameter drawn to the other end : thus HL is the right sine of the arc HB . The sines on the same diameter increase till they come to the centre , and ...
... right sine of an arc , is a perpendicular line let fall from one end thereof , to a diameter drawn to the other end : thus HL is the right sine of the arc HB . The sines on the same diameter increase till they come to the centre , and ...
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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.