The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this Art |
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Page 11
... term for the numerator ; reduce likewise that quantity , whose fraction is sought , to the same denomination for the denominator of a vulgar fraction ; then divide as before directed . EXAMPLES . Reduce 9 inches to the Decimal of a foot ...
... term for the numerator ; reduce likewise that quantity , whose fraction is sought , to the same denomination for the denominator of a vulgar fraction ; then divide as before directed . EXAMPLES . Reduce 9 inches to the Decimal of a foot ...
Page 13
... terms of the lower denominations . Multiply the given decimal by the number of the next lower denomination , which makes an integer of the present , and point off as many pla- ces at the right hand of the product , for a remain- der ...
... terms of the lower denominations . Multiply the given decimal by the number of the next lower denomination , which makes an integer of the present , and point off as many pla- ces at the right hand of the product , for a remain- der ...
Page 14
... 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 denomination with the third term . EXAMPLES ...
... 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 denomination with the third term . EXAMPLES ...
Page 24
... terms 1 and 10 , the numbers 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 were interposed , indices might also be adapted to them in an arithmetical progression , suited to the terms interposed between 1 and 10 , considered as a geometrical ...
... terms 1 and 10 , the numbers 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 were interposed , indices might also be adapted to them in an arithmetical progression , suited to the terms interposed between 1 and 10 , considered as a geometrical ...
Page 32
... them or- derly under one another , with the signs of propor- tion ; then add the Logarithms of the second and third terms together , and from their sum subtract the Logarithm of the first term , and the remainder 32 OF LOGARITHMS .
... them or- derly under one another , with the signs of propor- tion ; then add the Logarithms of the second and third terms together , and from their sum subtract the Logarithm of the first term , and the remainder 32 OF LOGARITHMS .
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Common terms and phrases
acres altitude Answer arch azimuth base bearing blank line centre chains and links chord circle circumferentor Co-sec Co-tang column compasses contained decimal difference distance line divided divisions draw east Ecliptic edge feet field-book figures fore four-pole chains geom given number half the sum Horizon glass hypothenuse inches instrument Lat Dep Lat latitude length logarithm measure meridian distance multiplied natural co-sine natural sine needle Nonius number of degrees object observed off-sets opposite parallel parallelogram pegs perches perpendicular plane pole pole star Portmarnock PROB protractor Quadrant quotient radius right angles right line scale of equal SCHOLIUM screw Secant sect Sextant side sights square station stationary distance subtract Sun's survey taken Tang tangent theo theodolite trapezium triangle ABC trigonometry two-pole chains vane versed sine vulgar fraction whence
Popular passages
Page 38 - 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 25 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, &c.
Page 197 - RULE. From half the sum of the three sides subtract each side severally.
Page 106 - 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 27 - The VERSED SINE of an arc is that part of the diameter which is between the sine and the arc. Thus BA is the versed sine of the arc AG.