Elements of Surveying, and Navigation: With a Description of the Instruments and the Necessary Tables |
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Page 3
... represented . An account is also given of the manner of surveying the public lands ; and although the method is simple , it has , nevertheless , been productive of great results , by defining , with mathematical precision , the ...
... represented . An account is also given of the manner of surveying the public lands ; and although the method is simple , it has , nevertheless , been productive of great results , by defining , with mathematical precision , the ...
Page 21
... represent . In order that these copies may be exact , their different parts must bear the same proportion to each other that exists between the corresponding parts of the things themselves . To enable us to delineate lines and angles ...
... represent . In order that these copies may be exact , their different parts must bear the same proportion to each other that exists between the corresponding parts of the things themselves . To enable us to delineate lines and angles ...
Page 28
... represented by one inch on the paper , or by any part of an inch , take the inch , or part of the inch from the scale ... represent a line of 50 , to the given scale : and similarly for other lines . Let it now be required to lay down a ...
... represented by one inch on the paper , or by any part of an inch , take the inch , or part of the inch from the scale ... represent a line of 50 , to the given scale : and similarly for other lines . Let it now be required to lay down a ...
Page 31
... represent the given line of 75 feet drawn to the required scale . REMARK I. This problem explains the manner of ... represented by the unit of the scale : the quotient will show the number of parts which is to be taken from the scale ...
... represent the given line of 75 feet drawn to the required scale . REMARK I. This problem explains the manner of ... represented by the unit of the scale : the quotient will show the number of parts which is to be taken from the scale ...
Page 32
... represents , and the product will be the length of the line . For example , suppose the length of a line drawn on the paper was found to be 3.56 inches , the scale being 40 feet to the inch then , 3.55 x 40 = 142 feet , the length of ...
... represents , and the product will be the length of the line . For example , suppose the length of a line drawn on the paper was found to be 3.56 inches , the scale being 40 feet to the inch then , 3.55 x 40 = 142 feet , the length of ...
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Elements of Surveying, and Navigation: With a Description of the Instruments ... Charles Davies No preview available - 2016 |
Elements of Surveying, and Navigation: With a Description of the Instruments ... Charles Davies No preview available - 2016 |
Popular passages
Page 12 - FRACTION is a negative number, and is one more than the number of ciphers between the decimal point and the first significant Jigure.
Page 49 - ... the square of the hypothenuse is equal to the sum of the squares of the other two sides.
Page 41 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Page 34 - 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, fourths, &c.
Page 73 - Being on a horizontal plane, and wanting to ascertain the height of a tower, standing on the top of an inaccessible hill, there were measured, the angle of elevation of the top of the hill 40°, and of the top of the tower 51° ; then measuring in a direct line 180 feet farther from the hill, the angle of elevation of the top of the tower Cway 33° 45' ; required the height of the tower.
Page 40 - THEOREM I. The sides of a plane triangle are proportional to the sines of their opposite angles.
Page 19 - A right-angled triangle is one which has a right angle. The side opposite the right angle is called the hypothenuse.
Page 85 - What must be the nominal value of 4% bonds that will yield to their owner an annual income of $720 ? 7. A owns $6000 of 5% bonds; B owns $8000 of 4£% bonds. How much greater is the annual income from B's bonds than from A's ? 8. Find the area of a piece of land in the form of a rhomboid, whose base is 32 rods and whose altitude is 15 rods.
Page 35 - The secant of an arc is the line drawn from the centre of the circle through one extremity of the arc, and limited by the tangent passing through the other extremity. Thus, OC is the secant of the arc AB.
Page 130 - Take a board, of about one foot square, paste white paper upon it, and perforate it through the center; the diameter of the hole being somewhat larger than the diameter of the telescope of the theodolite. Let this board be so fixed to a vertical staff" as to slide up and down freely ; and let a small piece of board, about three inches square, be nailed to the lower edge of it, for the purpose of holding a candle. About twenty-five minutes before the time of the greatest eastern or western elongation...