The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skilful Practice of this Art |
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... equal to 10 : ✓3 , or 32 , denotes the square root of the number 3 . 3 ✓5 , or 5 , denotes the cube root of the number 5 . 72 , denotes that the number 7 is to be squared . 83 , denotes that the number 8 is to be cubed . & c . THEORY ...
... equal to 10 : ✓3 , or 32 , denotes the square root of the number 3 . 3 ✓5 , or 5 , denotes the cube root of the number 5 . 72 , denotes that the number 7 is to be squared . 83 , denotes that the number 8 is to be cubed . & c . THEORY ...
Page 2
... equal parts , this number is called the denominator ; and if we chuse to take any number of such parts less than the whole , this is called the numerator of a fraction . The numerator , in the vulgar form , is always written over the ...
... equal parts , this number is called the denominator ; and if we chuse to take any number of such parts less than the whole , this is called the numerator of a fraction . The numerator , in the vulgar form , is always written over the ...
Page 7
... equal , in number , to those in the divisor ; and then the quotient will be a whole number , without fractions . When there is a remainder , after the division has been thus performed , annex ciphers to this remainder , and continue the ...
... equal , in number , to those in the divisor ; and then the quotient will be a whole number , without fractions . When there is a remainder , after the division has been thus performed , annex ciphers to this remainder , and continue the ...
Page 10
... . Reduce to a decimal fraction . 4 ) 3.00 .75 = decimal required . For of one acre , mile , yard , or any thing , is equal to of 3 acres , miles , yards , & c . there- fore if 3 be divided by 4 , the quotient 10 DECIMAL FRACTIONS .
... . Reduce to a decimal fraction . 4 ) 3.00 .75 = decimal required . For of one acre , mile , yard , or any thing , is equal to of 3 acres , miles , yards , & c . there- fore if 3 be divided by 4 , the quotient 10 DECIMAL FRACTIONS .
Page 12
... equal to 12 inches , the vulgar fraction will be ; then 12 ) 9.00 .75 decimal frac- [ tion required . Reduce 8 inches to the decimal of a yard . 8 inches . 1 yard × 3 × 12 = 36 inches . 36 ) 8.0 ( .22+ = Answer . 72 80 72 | 8 Reduce 5 ...
... equal to 12 inches , the vulgar fraction will be ; then 12 ) 9.00 .75 decimal frac- [ tion required . Reduce 8 inches to the decimal of a yard . 8 inches . 1 yard × 3 × 12 = 36 inches . 36 ) 8.0 ( .22+ = Answer . 72 80 72 | 8 Reduce 5 ...
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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.