The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this Art |
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Page 2
... less than the whole , this is called the numerator of a fraction . The numerator , in the vulgar form , is always written over the denominator , and these are sepa- rated by a small line thus , or ; the first of these is called three ...
... less than the whole , this is called the numerator of a fraction . The numerator , in the vulgar form , is always written over the denominator , and these are sepa- rated by a small line thus , or ; the first of these is called three ...
Page 3
... less , while the denomination of it increases , and becomes so ma- ny times greater , by prefixing one , or two , or three ciphers to it : and that any number of ciphers , before an integer , or after a decimal fraction , has no effect ...
... less , while the denomination of it increases , and becomes so ma- ny times greater , by prefixing one , or two , or three ciphers to it : and that any number of ciphers , before an integer , or after a decimal fraction , has no effect ...
Page 10
... less than the divisor . A cipher must then be put in the quotient , in the place of integers , and other ciphers annexed to the dividend ; and the division being now performed , the decimal figures of the quotient are obtained . Divide ...
... less than the divisor . A cipher must then be put in the quotient , in the place of integers , and other ciphers annexed to the dividend ; and the division being now performed , the decimal figures of the quotient are obtained . Divide ...
Page 14
... less than the third , as the second term is greater , or less than the first , then multiply the second and third terms together , and divide the product by the first term , and the quotient will be the answer ; -in the same ...
... less than the third , as the second term is greater , or less than the first , then multiply the second and third terms together , and divide the product by the first term , and the quotient will be the answer ; -in the same ...
Page 20
... - ed root , shall come nearest to the given number , whether greater or less ; and let that number be called the assumed root , and when thus involved , the assumed power .. Let the given power , or number be repre- }. 20 EVOLUTION .
... - ed root , shall come nearest to the given number , whether greater or less ; and let that number be called the assumed root , and when thus involved , the assumed power .. Let the given power , or number be repre- }. 20 EVOLUTION .
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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.