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 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
... the required 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- G. 20 EVOLUTION .
... the required 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- G. 20 EVOLUTION .
Page 24
... less than 1 ; that is , they must be fractions . Those to the numbers between 10 and 100 , must fall between 1 and 2 ; that is , they are mixed numbers , consisting of 1 and some fraction . Likewise the indices to the numbers be- tween ...
... less than 1 ; that is , they must be fractions . Those to the numbers between 10 and 100 , must fall between 1 and 2 ; that is , they are mixed numbers , consisting of 1 and some fraction . Likewise the indices to the numbers be- tween ...
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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.