Elements of Surveying, and Navigation: With a Description of the Instruments and the Necessary Tables |
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Page 18
... sides . B The angle is sometimes designed simply by the letter at the vertex A ; sometimes by the three letters BAC , or CAB , the letter at the vertex being always placed in the middle . Angles , like all other quantities , are ...
... sides . B The angle is sometimes designed simply by the letter at the vertex A ; sometimes by the three letters BAC , or CAB , the letter at the vertex being always placed in the middle . Angles , like all other quantities , are ...
Page 19
... sides by lines , either straight or curved . If the lines are straight , the space they en- close is called a rectilineal figure , or polygon , and the lines themselves , taken together ... side BC is the hypothenuse . DEFINITIONS . 19.
... sides by lines , either straight or curved . If the lines are straight , the space they en- close is called a rectilineal figure , or polygon , and the lines themselves , taken together ... side BC is the hypothenuse . DEFINITIONS . 19.
Page 20
... sides equal . The parallelogram , or rhomboid , which has its opposite sides parallel . The rhombus , or lozenge , which has its sides equal , without having its angles right angles . And lastly , the trapezoid , only two of whose sides ...
... sides equal . The parallelogram , or rhomboid , which has its opposite sides parallel . The rhombus , or lozenge , which has its sides equal , without having its angles right angles . And lastly , the trapezoid , only two of whose sides ...
Page 23
... sides of the triangle shall coincide exactly with the line AB . Then slide the triangle along the ruler until the other side reaches the point D : draw through D a right line , and it will be per- pendicular to AB . SCALE OF EQUAL PARTS ...
... sides of the triangle shall coincide exactly with the line AB . Then slide the triangle along the ruler until the other side reaches the point D : draw through D a right line , and it will be per- pendicular to AB . SCALE OF EQUAL PARTS ...
Page 24
... sides ab and de each into ten equal parts . Draw af and the other nine parallels as in the figure . Produce ba to the left , and lay off the unit of the scale any convenient number of times , and mark the point 1 , 2 , 3 , & c . Then ...
... sides ab and de each into ten equal parts . Draw af and the other nine parallels as in the figure . Produce ba to the left , and lay off the unit of the scale any convenient number of times , and mark the point 1 , 2 , 3 , & c . Then ...
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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...