A Treatise of Practical Surveying: Which is Demonstrated from Its First Principles ... |
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Page 16
... reduce a Vulgar Fraction to a Decimal one of the same Value . Having annexed a sufficient number of cyphers as decimals , to the numerator of the vulgar fraction , divide by the denominator ; and the quotient thence arising , will be ...
... reduce a Vulgar Fraction to a Decimal one of the same Value . Having annexed a sufficient number of cyphers as decimals , to the numerator of the vulgar fraction , divide by the denominator ; and the quotient thence arising , will be ...
Page 17
... Reduce to a decimal fraction . 25 ) 12.00 ( .48 Answer . 200 Reduce to a decimal fraction . Answer .1146789 . PROBLEM II . To find the Value of a Decimal Fraction , in the known Parts of the Integer . Multiply the Decimal proposed ...
... Reduce to a decimal fraction . 25 ) 12.00 ( .48 Answer . 200 Reduce to a decimal fraction . Answer .1146789 . PROBLEM II . To find the Value of a Decimal Fraction , in the known Parts of the Integer . Multiply the Decimal proposed ...
Page 143
... reduce one to the other , in the following pro- blems . PROBLEM I. To reduce two - pole chains and links to four- pole ones . If the number of chains be even , the half of them will be the four - pole ones , to which annex the links ...
... reduce one to the other , in the following pro- blems . PROBLEM I. To reduce two - pole chains and links to four- pole ones . If the number of chains be even , the half of them will be the four - pole ones , to which annex the links ...
Page 144
... reduce four - pole chains and links , to two- pole ones . Double the chains , to which annex the links , if they be less than 50 ; but if they exceed 50 , dou- ble the chains , add one to them , and take 50 from the links and the ...
... reduce four - pole chains and links , to two- pole ones . Double the chains , to which annex the links , if they be less than 50 ; but if they exceed 50 , dou- ble the chains , add one to them , and take 50 from the links and the ...
Page 145
... reduce two - pole chains and links , to perches and decimals of a perch . They may be reduced to four - pole ones ( by prob . 1. ) and thence to perches and decimals ( by the last . ) or , T If the links be multiplied by 4 , carrying ...
... reduce two - pole chains and links , to perches and decimals of a perch . They may be reduced to four - pole ones ( by prob . 1. ) and thence to perches and decimals ( by the last . ) or , T If the links be multiplied by 4 , carrying ...
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Common terms and phrases
40 perches ABCD acres altitude Answer base bearing blank line centre chains and links chord circle circumferentor Co-sec Co-sine Co-tang Tang column contained cyphers decimal decimal fraction diameter difference distance line divided divisor draw drawn east edge EXAMPLE feet field-book figures fore four-pole chains half the sum height hypothenuse inches instrument Lat Dep Lat latitude line of numbers logarithm measure meridian distance multiplied needle number of degrees off-sets parallel parallelogram perpendicular piece of ground plane Plate prob PROBLEM proportion protractor quotient radius right angles right line scale of equal SCHOLIUM Secant second station sect semicircle side sights sine square root stationary distance sun's suppose survey taken tance tangent thence theo theodolite THEOREM trapezium triangle ABC trigonometry true amplitude two-pole chains vane variation whence
Popular passages
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 207 - ... that triangles on the same base and between the same parallels are equal...
Page 40 - 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 43 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Page 103 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Page 31 - Figures which consist of more than four sides are called polygons ; if the sides are all equal to each other, they are called regular polygons. They sometimes are named from the number of. their sides, as a five-sided figure is called a pentagon, one of six sides a hexagon, &"c.
Page 31 - ... they are called regular polygons. They sometimes are named from the number of their sides, as a five-sided figure is called a pentagon, one of. six sides a hexagon, &c. but if their sides are not equal to each other, then they are called irregular polygons, as an irregular pentagon, hexagon, &c.
Page 45 - The hypothenuse of a right-angled triangle may be found by having the other two sides ; thus, the square root of the sum of the squares of the base and perpendicular, will be the hypothenuse. Cor. 2. Having the hypothenuse and one side given to find the other; the square root of the difference of the squares of the hypothenuse and given side will be the required side.
Page 265 - As the length of the whole line, Is to 57.3 Degrees,* So is the said distance, To the difference of Variation required. EXAMPLE. Suppose it be required to run a line which some years ago bore N. 45°.
Page 32 - Things that are equal to one and the same thing are equal to one another." " If equals be added to equals, the wholes are equal." " If equals be taken from equals, the remainders are equal.