A Treatise of Practical Surveying: Which is Demonstrated from Its First Principles ...Lewis Nichols, 1806 - 452 σελίδες |
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Σελίδα 3
... cants ; also , an example of calculating the con- tents of a survey , according to the method com- monly practised in the Surveyor - General's office of Philadelphia . Goven Rk , 10-10-38 % 33909 PREFACE . THE HE ADVERTISEMENT. ...
... cants ; also , an example of calculating the con- tents of a survey , according to the method com- monly practised in the Surveyor - General's office of Philadelphia . Goven Rk , 10-10-38 % 33909 PREFACE . THE HE ADVERTISEMENT. ...
Σελίδα 11
... 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 Answer 28.0006 ther . Add 6.2 121.306 .75 2.7 and .0007 toge- 3.251 DECIMAL FRACTIONS . 11 arithmetic is enlarged, and ...
... 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 Answer 28.0006 ther . Add 6.2 121.306 .75 2.7 and .0007 toge- 3.251 DECIMAL FRACTIONS . 11 arithmetic is enlarged, and ...
Σελίδα 12
... EXAMPLES . From 38.765 take 25.3741 25.3741 Answer 13.3909 From 2.4 take .8472 .8472 1.5528 From 71.45 take 8.4837248 Answer 62.9662752 From 84. take 82.3412 Answer 1.6588 . Multiplication of DECIMALS 12 DECIMAL FRACTIONS .
... EXAMPLES . From 38.765 take 25.3741 25.3741 Answer 13.3909 From 2.4 take .8472 .8472 1.5528 From 71.45 take 8.4837248 Answer 62.9662752 From 84. take 82.3412 Answer 1.6588 . Multiplication of DECIMALS 12 DECIMAL FRACTIONS .
Σελίδα 13
... from whence it arose . EXAMPLES . Multiply 48.765 by .003609 .003609 438885 292590 146295 Answer .175092885 Multiply .121 by .14 484 121 Answer .01694 Multiply 121.6 by 2.76 2.76 7296 8512 2432 Answer 335.616 DECIMAL FRACTIONS .
... from whence it arose . EXAMPLES . Multiply 48.765 by .003609 .003609 438885 292590 146295 Answer .175092885 Multiply .121 by .14 484 121 Answer .01694 Multiply 121.6 by 2.76 2.76 7296 8512 2432 Answer 335.616 DECIMAL FRACTIONS .
Σελίδα 14
... decimals in the dividend and divisor , must be cut off in the quotient . EXAMPLES . Divide .144 by .12 .12 ) 144 ( 1.2 24 Divide 63.72413456922 by 2718 2718 ) 63.724134556922 ( .02344522979 9364 14 DECIMAL FRACTIONS .
... decimals in the dividend and divisor , must be cut off in the quotient . EXAMPLES . Divide .144 by .12 .12 ) 144 ( 1.2 24 Divide 63.72413456922 by 2718 2718 ) 63.724134556922 ( .02344522979 9364 14 DECIMAL FRACTIONS .
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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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 207 - ... that triangles on the same base and between the same parallels are equal...
Σελίδα 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.
Σελίδα 43 - Triangles upon equal bases, and between the same parallels, are equal to one another.
Σελίδα 103 - TO THEIR DIFFERENCE ; So IS THE TANGENT OF HALF THE SUM OF THE OPPOSITE ANGLES', To THE TANGENT OF HALF THEIR DIFFERENCE.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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°.
Σελίδα 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.