Elements of Surveying, and Navigation: With Descriptions of the Instruments and the Necessary Tables |
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Page 11
... opposite them on the same horizontal line . The last column on each page , headed D , shows the difference between the loga- rithms of two consecutive numbers . This difference is found by subtracting the logarithm under the column ...
... opposite them on the same horizontal line . The last column on each page , headed D , shows the difference between the loga- rithms of two consecutive numbers . This difference is found by subtracting the logarithm under the column ...
Page 12
... opposite is the logarithm ought : Thus , log 9 = 0.954243 . When the number is greater than 100 and less than 10000 ... opposite a row of six figures in the column marked 0 , the two left hand figures of the six , are the two to be ...
... opposite is the logarithm ought : Thus , log 9 = 0.954243 . When the number is greater than 100 and less than 10000 ... opposite a row of six figures in the column marked 0 , the two left hand figures of the six , are the two to be ...
Page 22
... opposite the right angle is called the hypothenuse , and the other two sides , the base and perpen- dicular . 6. An obtuse - angled triangle is one which has an obtuse angle . 24. There are three kinds of QUADRILATERALS : 1. The ...
... opposite the right angle is called the hypothenuse , and the other two sides , the base and perpen- dicular . 6. An obtuse - angled triangle is one which has an obtuse angle . 24. There are three kinds of QUADRILATERALS : 1. The ...
Page 36
... opposite the side B. Draw the indefinite line DF and make the angle FDH equal to the angle C : take DH = A , from the point H , as a centre , with a radius equal to the other given . side , B , describe an arc cutting AH Lo BH H F D DF ...
... opposite the side B. Draw the indefinite line DF and make the angle FDH equal to the angle C : take DH = A , from the point H , as a centre , with a radius equal to the other given . side , B , describe an arc cutting AH Lo BH H F D DF ...
Page 44
... opposite angles . 21. Let ABC be a triangle ; then will CB : CA sin A : sin B. For , with A as a centre , and AD equal to the less side BC , as a ra- dius , describe the arc DI : and with B as a centre and the equal radius BO , describe ...
... opposite angles . 21. Let ABC be a triangle ; then will CB : CA sin A : sin B. For , with A as a centre , and AD equal to the less side BC , as a ra- dius , describe the arc DI : and with B as a centre and the equal radius BO , describe ...
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Common terms and phrases
axis back-sight base line called centre column comp cosine Cotang course degrees determined difference of level direction divided double meridian distance draw east error example feet figure fore-sight given angle given line given point ground Gunter's chain half hence horizontal angle horizontal distance horizontal line horizontal plane hypothenuse inch instrument intersection latitude and departure length line of collimation logarithm marked measure method miles multiplied natural sines needle parallel parallelogram passing perpendicular plane of reference Plane Sail plane triangle plot protractor quotient radius right angles right-angled triangle rods scale of equal screws secant sector sides sights similar triangles spherical excess spider's lines square chains staff station straight line subtract surface survey Tang tangent theodolite trigonometrical variation vernier plate vertical limb yards
Popular passages
Page 12 - The logarithm of . the quotient of two numbers, is equal to the logarithm of the dividend diminished by the logarithm of the divisor.
Page 40 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Page 47 - 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 140 - ... the time of revolution is 23 h. and 56 min. To the eye of an observer, this star is continually in motion, 'and is due north but twice in 23 h. 56 min. ; and is then said to be on the meridian. Now, when it departs from the meridian, it apparently moves east or west, for 5 h. and 59 min., and then returns to the meridian again. When at its greatest distance from the meridian, east or west, it is said to be at its greatest eastern or western elongation.
Page 63 - 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 11 - THE LOGARITHM: of a number is the exponent of the power to which it is necessary to raise a fixed number, to produce the given number.
Page 144 - Now, if the elongation, at the time of observation, was west, and the north end of the needle is on the west side of the line, the azimuth, plus the angle shown by the needle, is the true variation. But should the north end of the needle be found on the east side of the line, the elongation being west, the difference between the azimuth and the angle would show the variation, and the reverse when the elongation is east. 1. Elongation west, azimuth 2° 04' North end of the needle on the west, angle...
Page 41 - 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, 00 is the secant of the arc AB.
Page 46 - CB : CA : : sin A : sin B. For, with A as a centre, and AD equal to the less side...
Page 24 - In a Right-angled Triangle, the side opposite the right angle is called the Hypothenuse ; and the other two sides are called the Legs, and sometimes the Base and Perpendicular.