Elements of Surveying, and Navigation: With a Description of the Instruments and the Necessary Tables |
From inside the book
Results 1-5 of 29
Page 17
... , or thickness . The extremities of a line are called points : a point , there- fore , has neither length , breadth , nor thickness , but position only . 3. A straight line is the shortest distance from one 2 * DEFINITIONS .
... , or thickness . The extremities of a line are called points : a point , there- fore , has neither length , breadth , nor thickness , but position only . 3. A straight line is the shortest distance from one 2 * DEFINITIONS .
Page 27
... extremity of the arc with a pin . Remove the protractor , and draw a line through the point so marked and the angular point : this line will make with the given line the required angle . SECTORAL SCALE OF EQUAL PARTS . 40 50 60 100 110 ...
... extremity of the arc with a pin . Remove the protractor , and draw a line through the point so marked and the angular point : this line will make with the given line the required angle . SECTORAL SCALE OF EQUAL PARTS . 40 50 60 100 110 ...
Page 35
... extremity , and is limited by a line drawn through the other extremity and the centre of the circle . Thus , AC is the tangent of the arc AB . 47. The secant of an arc is the line drawn from the centre of the circle through one extremity ...
... extremity , and is limited by a line drawn through the other extremity and the centre of the circle . Thus , AC is the tangent of the arc AB . 47. The secant of an arc is the line drawn from the centre of the circle through one extremity ...
Page 41
... extremity of the diameter IE , since the right angle ICE must be inscribed in a semicircle . But CE is the tangent of CIE = 1 ( C + B ) ; and IH is the tangent of ICB = 1 ( CB ) , to the common radius CI . But since the lines CE and IH ...
... extremity of the diameter IE , since the right angle ICE must be inscribed in a semicircle . But CE is the tangent of CIE = 1 ( C + B ) ; and IH is the tangent of ICB = 1 ( CB ) , to the common radius CI . But since the lines CE and IH ...
Page 54
... extremity ; and place another at the point where the measurement is to be terminated . These two points are generally called stations . Having passed the staves through the rings of the chain , let the ten marking pins and one end of ...
... extremity ; and place another at the point where the measurement is to be terminated . These two points are generally called stations . Having passed the staves through the rings of the chain , let the ten marking pins and one end of ...
Other editions - View all
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...