Elements of Surveying, and Navigation: With a Description of the Instruments and the Necessary Tables |
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Page 18
... curve , a curved line . 5. A surface is that which has length and breadth , without height or thickness . 6. A plane is a surface , in which , if two points be assumed at pleasure , and connected by a straight line , that line will lie ...
... curve , a curved line . 5. A surface is that which has length and breadth , without height or thickness . 6. A plane is a surface , in which , if two points be assumed at pleasure , and connected by a straight line , that line will lie ...
Page 87
... curve edca . At A and E , the extremities of the right line AE , erect the two perpen- diculars Aa , Ee , and on each of them measure the breadth of the land . Then d a b divide the base into any convenient number of equal parts and ...
... curve edca . At A and E , the extremities of the right line AE , erect the two perpen- diculars Aa , Ee , and on each of them measure the breadth of the land . Then d a b divide the base into any convenient number of equal parts and ...
Page 89
... curve of the ellipse . REMARK II . In determining the content of ground , in the examples which have been given , the linear dimen- sions have been taken in chains and decimals of a chain . If the linear dimensions were taken in terms ...
... curve of the ellipse . REMARK II . In determining the content of ground , in the examples which have been given , the linear dimen- sions have been taken in chains and decimals of a chain . If the linear dimensions were taken in terms ...
Page 149
... curves are more or less numerous , the form of the surface will be more or less accurately ascertained . If such a system of curves be determined , and then pro- jected or let fall on a horizontal plane , it is obvious that the curves ...
... curves are more or less numerous , the form of the surface will be more or less accurately ascertained . If such a system of curves be determined , and then pro- jected or let fall on a horizontal plane , it is obvious that the curves ...
Page 151
... curves of section on paper . Having drawn on the paper the line AB , lay off the angle BAC = 25o , and the angle BAD ... curve are thus found . By the aid of the sector , the graphic operations are greatly facilitated . Let it be borne ...
... curves of section on paper . Having drawn on the paper the line AB , lay off the angle BAC = 25o , and the angle BAD ... curve are thus found . By the aid of the sector , the graphic operations are greatly facilitated . Let it be borne ...
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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...