A Practical Treatise on the Science of Land and Engineering Surveying, Levelling, Estimating Quantities, &eE. & F. N. Spon, 1863 |
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Σελίδα 32
... middle of a line , Fig . 7 . From A with any radius describe the arc bc ; with the same radius describe the arcs intersecting each other at d ; draw the line A d , the perpendicular required . Note . - Perpendiculars are more readily ...
... middle of a line , Fig . 7 . From A with any radius describe the arc bc ; with the same radius describe the arcs intersecting each other at d ; draw the line A d , the perpendicular required . Note . - Perpendiculars are more readily ...
Σελίδα 33
... middle , as E is the angle of AED or BED , Fig . 16a . An angle is the inclination of two lines meeting in a point called the vertex , and is of a certain number of degrees , or part of the circumference of a circle . Angles are of ...
... middle , as E is the angle of AED or BED , Fig . 16a . An angle is the inclination of two lines meeting in a point called the vertex , and is of a certain number of degrees , or part of the circumference of a circle . Angles are of ...
Σελίδα 43
... middle point B draw the chords BA and BC ; bisect these chords and draw the lines n O , m 0 ; from O , with the radius O A , O B , O C , describe the circle required . Problem 45 . To draw a tangent to a given circle , to pass through a ...
... middle point B draw the chords BA and BC ; bisect these chords and draw the lines n O , m 0 ; from O , with the radius O A , O B , O C , describe the circle required . Problem 45 . To draw a tangent to a given circle , to pass through a ...
Σελίδα 45
... middle point will be assumed as correct . Each 60 ° may next be trisected by setting off the natural sine 10 ° , equal the chord of 20 ° to our radius , which will divide the circle to every 10 degrees . The natural sine of 7 ° 30 ...
... middle point will be assumed as correct . Each 60 ° may next be trisected by setting off the natural sine 10 ° , equal the chord of 20 ° to our radius , which will divide the circle to every 10 degrees . The natural sine of 7 ° 30 ...
Σελίδα 48
... middle of each side draw the lines O A , O C , O D , O E , and OB ; through the point n draw the tangent A B , meeting OA and O B in A and B ; through the points A and m , draw the line Am C , meeting O C in C ; in like manner draw the ...
... middle of each side draw the lines O A , O C , O D , O E , and OB ; through the point n draw the tangent A B , meeting OA and O B in A and B ; through the points A and m , draw the line Am C , meeting O C in C ; in like manner draw the ...
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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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Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.