A Practical Treatise on the Science of Land and Engineering Surveying, Levelling, Estimating Quantities, &eE. & F. N. Spon, 1863 |
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Seite 30
... Plate 27 . LINES . Problem 1 . To draw a line parallel to another , Plate 1 , Fig . 1 . Take the distance required in the compass , from two or three points on the line A B , describe arcs as a b c , draw a line touching those arcs will ...
... Plate 27 . LINES . Problem 1 . To draw a line parallel to another , Plate 1 , Fig . 1 . Take the distance required in the compass , from two or three points on the line A B , describe arcs as a b c , draw a line touching those arcs will ...
Seite 33
... Plate 1 . An acute angle is that which is less than a right angle , as A B D. An obtuse angle is that which is greater than a right angle , or more than 90 degrees , as D BE . Problem 12 . To draw an angle equal to another , Fig . 13 ...
... Plate 1 . An acute angle is that which is less than a right angle , as A B D. An obtuse angle is that which is greater than a right angle , or more than 90 degrees , as D BE . Problem 12 . To draw an angle equal to another , Fig . 13 ...
Seite 40
... Plate 2 , be the segment of a circle ; the angles formed by lines drawn from the extremities A and B of the base of the segment to any points C and D of its arc , as the angles AC B , A D B are equal . Note . - This problem is referred ...
... Plate 2 , be the segment of a circle ; the angles formed by lines drawn from the extremities A and B of the base of the segment to any points C and D of its arc , as the angles AC B , A D B are equal . Note . - This problem is referred ...
Seite 43
... Plate 2 . Draw any chord A B , and bisect it with the line CD ; bisect CD by the chord E F ; the intersection at O will be the centre of the circle . Problem 44 . Through three given points to describe the circumference , Fig . 34 ...
... Plate 2 . Draw any chord A B , and bisect it with the line CD ; bisect CD by the chord E F ; the intersection at O will be the centre of the circle . Problem 44 . Through three given points to describe the circumference , Fig . 34 ...
Seite 46
... Plate 3 . Bisect the angles A and B ; from the point of intersection at O , let fall a perpendicular O N , it will be the radius of the re- quired circle . Problem 52 . To inscribe a pentagon , or hexagon , or a decagon in a given ...
... Plate 3 . Bisect the angles A and B ; from the point of intersection at O , let fall a perpendicular O N , it will be the radius of the re- quired circle . Problem 52 . To inscribe a pentagon , or hexagon , or a decagon in a given ...
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66 feet acres adjustment base line calculated centre chain lines chord circle circumference circumferentor co-sine column commence compass cross sections cube yards curve cuttings and embankments datum line decimals describe the arc diameter Diff difference distance Ditto divided division draw the line equal fence field-book fifth column figure fixed flag fore sights frustrum given ground half width height horizontal inches inclosure instrument intersecting land length line A B logarithm manner mark measure method minutes multiply needle number of degrees offsets opposite parallel parallelogram perpendicular Plate 28 plotted poles Problem proof line protractor quantity quotient radius reduced level right angled triangle roads Rule scale screw secant segment shown side A B sine slopes solid content spirit level square links station subtract surface survey surveyor TABLE take the angle tangent points telescope theodolite tie line trapezium vernier vulgar fractions whole
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Seite 108 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Seite 70 - To get, then, the quantity of shelled corn in a crib of corn in the ear, measure the length, breadth and height of the crib, inside of the rail; multiply the length by the breadth and the product by the height; then divide the product by two, and you have the number of bushels of shelled corn in the crib.
Seite 29 - Every circumference of a. circle, whether the circle be large or small, is supposed to be divided into 360 equal parts called degrees. Each degree is divided into 60 equal parts called minutes, and each minute into 60 equal parts called seconds.
Seite 60 - PROBLEM V. To find the area of any regular polygon. RULE. Multiply the sum of its sides by a perpendicular drawn from its centre to one of its sides, and take half the product for the area. Or, multiply the square of the side of a polygon (from three to twelve, sides) 'by the numbers in the fourth column of the table for polygons, opposite the number of sides required, and the product will be the area nearly.
Seite 20 - Divide the given number into periods of two figures each, by setting a point over the place of units, another over the place of hundreds, and so on over every second figure, both to the left hand in integers, and to the right hand in decimals. Find the greatest square in the first period on the left hand, and set its root'on the right hand of the given number, after the manner of a quotient figure in Division.
Seite 72 - Cone or Pyramid. Rule: Multiply the circumference of the base by the slant height and half the product is the slant surface; if the surface of the entire figure is required, add the.
Seite 61 - As 7 is to 22, so is the diameter to the circumference; or, as 22 is to 7, so is the circumference to the diameter.
Seite 63 - ... is double that of another, contains four times the area of the other. 4. — The area of a circle is equal to the area of a triangle whose base is equal to the circumference, and perpendicular equal to the radius. 5. — The area of a circle is equal to the rectangle of its radius, and a right line equal to half its circumference. 6. — The area of a circle is to the square of the diameter as .7854 to 1 ; or, multiply half the circumference by half the diameter, and the product will be the area.
Seite 4 - ... and are those which are to be found, at present, in most of the common tables on this subject. The distinguishing mark of this system of logarithms is, that the index or logarithm of 10 is 1 ; that of 100 is 2 ; that of 1000 is 3 ; &c. And, in decimals, the logarithm of •! is — 1 ; that of -01 is — 2 ; that of '001 is — 3, &c.