Elements of Surveying, and Navigation: With a Description of the Instruments and the Necessary Tables |
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Page 25
... 0 40 310 A 23. If , with any radius , as AC , we describe the quadrant CD , and then divide it into 90 equal parts , each part is called a degree . Through C , and each point of division , let 3 DESCRIPTION OF INSTRUMENTS . 25.
... 0 40 310 A 23. If , with any radius , as AC , we describe the quadrant CD , and then divide it into 90 equal parts , each part is called a degree . Through C , and each point of division , let 3 DESCRIPTION OF INSTRUMENTS . 25.
Page 26
... radius of the circle from which the chords were obtained , is known ; for , the chord marked 60 is always equal to the radius of the circle . A scale of chords is generally laid down on the scales which belong to cases of mathematical ...
... radius of the circle from which the chords were obtained , is known ; for , the chord marked 60 is always equal to the radius of the circle . A scale of chords is generally laid down on the scales which belong to cases of mathematical ...
Page 29
... radius greater than BA , describe two arcs intersecting each other in D : draw AD , and it will be the perpendicular required . PROBLEM II . A From a given point without a straight line , to let fall a perpen- dicular on the line . 28 ...
... radius greater than BA , describe two arcs intersecting each other in D : draw AD , and it will be the perpendicular required . PROBLEM II . A From a given point without a straight line , to let fall a perpen- dicular on the line . 28 ...
Page 30
... radius two arcs cutting each other in D : through D and the centre C draw CD : the angle ACE will be equal to the ... radius greater than the shortest distance from B A EC B D A to BC , describe the indefinite arc ED : from the point E ...
... radius two arcs cutting each other in D : through D and the centre C draw CD : the angle ACE will be equal to the ... radius greater than the shortest distance from B A EC B D A to BC , describe the indefinite arc ED : from the point E ...
Page 32
... radius D equal to the second side B , describe an arc from E as a centre , with a radius equal to the third side C , describe another arc intersecting the former in AH B CH E F ; draw DF and EF , and DEF will be the triangle PROBLEM X ...
... radius D equal to the second side B , describe an arc from E as a centre , with a radius equal to the third side C , describe another arc intersecting the former in AH B CH E F ; draw DF and EF , and DEF will be the triangle PROBLEM X ...
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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...