The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skillful Practice of this ArtE. Duyckinck, 1821 - 544 páginas |
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... examples . The first section ( Part the Second ) gives an account of the Chains and Measures used in Great Britain and Ireland , Me- thods of Surveying and of taking inaccessible Distances by the Chain only , with some necessary ...
... examples . The first section ( Part the Second ) gives an account of the Chains and Measures used in Great Britain and Ireland , Me- thods of Surveying and of taking inaccessible Distances by the Chain only , with some necessary ...
Página 4
... beneath the other points . EXAMPLES . Add 4.7832 3.2543 7.8251 6.03 2.857 and 3.251 together . Place them thus , 4.7832 3.2543 7.8251 6.03 2.857 3.251 Sum = 28.0006 , gether . Add 6.2 121.306 .75 2.7 and .0007 to- DECIMAL FRACTIONS .
... beneath the other points . EXAMPLES . Add 4.7832 3.2543 7.8251 6.03 2.857 and 3.251 together . Place them thus , 4.7832 3.2543 7.8251 6.03 2.857 3.251 Sum = 28.0006 , gether . Add 6.2 121.306 .75 2.7 and .0007 to- DECIMAL FRACTIONS .
Página 5
... in the difference exactly under the other two points . EXAMPLES . From 38.765 take 25.3741 25.3741 Difference = 13.3909 From 2.4 take 8472 .8472 Diff . = 1.5528 1 1 From 71.45 take 8.4837248 . Difference - 62.9662752 . DECIMAL FRACTIONS .
... in the difference exactly under the other two points . EXAMPLES . From 38.765 take 25.3741 25.3741 Difference = 13.3909 From 2.4 take 8472 .8472 Diff . = 1.5528 1 1 From 71.45 take 8.4837248 . Difference - 62.9662752 . DECIMAL FRACTIONS .
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... whence it arose . 1 EXAMPLES . Multiply 48.765 by .003609 .003609 438885 292590 146295 Product.175992885 Multiply .121 by .14 484 121 Product = .01694 Multiply 121.6 by 2.76 2.76 7296 8512 2432 Product 335.616 6 DECIMAL FRACTIONS .
... whence it arose . 1 EXAMPLES . Multiply 48.765 by .003609 .003609 438885 292590 146295 Product.175992885 Multiply .121 by .14 484 121 Product = .01694 Multiply 121.6 by 2.76 2.76 7296 8512 2432 Product 335.616 6 DECIMAL FRACTIONS .
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... , annex ciphers to this remainder , and continue the operation till nothing remains , or till a sufficient number of decimals shall be found in the quotient . EXAMPLES . Divide .144 by .12 .12 ) .144 ( DECIMAL FRACTIONS .
... , annex ciphers to this remainder , and continue the operation till nothing remains , or till a sufficient number of decimals shall be found in the quotient . EXAMPLES . Divide .144 by .12 .12 ) .144 ( DECIMAL FRACTIONS .
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Términos y frases comunes
ABCD acres altitude Answer arch base bearing centre chains and links circle circumferentor Co-sec Co-tang column compasses contained cube root decimal diagonal difference of latitude Dist divided divisions divisor draw east Ecliptic edge EXAMPLE feet field-book figure four-pole chains geometrical series given angle given number half the sum height Hence Horizon glass hypothenuse inches instrument length Logarithms measure meridian distance multiplied Natural Co-sines natural number natural sine Nonius number of degrees object observed off-sets opposite parallelogram perches perpendicular plane pole PROB proportional protractor Quadrant quotient radius rhombus right angles right line screw Secant sect semicircle side square root station subtract survey taken tance Tang tangent theo theodolite trapezium triangle ABC trigonometry two-pole chains vane versed sine vulgar fraction whence
Pasajes populares
Página 246 - ... that triangles on the same base and between the same parallels are equal...
Página 58 - 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.
Página 231 - RULE. From half the sum of the three sides subtract each side severally.
Página 45 - 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.
Página 14 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.
Página 5 - His method is founded on these three considerations: 1st, that the sum of the logarithms of any two numbers is the logarithm of the product of...
Página 91 - ... scale. Given the length of the sine, tangent, or secant of any degrees, to find the length of the radius to that sine, tangent, or secant.
Página 35 - 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.
Página 30 - Then, because the sum of the logarithms of numbers, gives the logarithm of their product ; and the difference of the logarithms, gives the logarithm of the quotient of the numbers ; from the above two logarithms, and the logarithm of 10, which is 1, we may obtain a great many logarithms, as in the following examples : EXAMPLE 3.
Página 211 - At 170 feet distance from the bottom of a tower, the angle of its elevation was found to be 52° 30' : required the altitude of the tower ? Ans.