## A Practical Treatise on the Science of Land and Engineering Surveying, Levelling, Estimating Quantities, &e |

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acres adjustment apply base base line calculated called centre chain chord circle circumference column commence compass contained continued correct cross cube curve cutting decimals describe diameter difference distance divided division draw the line drawn entered equal Example feet fence field field-book figure fixed flag four give given ground half height inches intersecting land length less logarithm manner mark measure method minutes move Multiply natural object observed offsets opposite parallel particular perpendicular Plate plotted poles practice Problem proof proportion prove quantity quotient radius reduced right angles roads root Rule scale screw shown side sine solid square station straight surface survey surveyor TABLE taken tangent telescope theodolite third triangle whole width yards

### Popular passages

Page 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.

Page 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.

Page 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.

Page 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.

Page 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.

Page 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.

Page 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.

Page 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.

Page 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.