Elements of Surveying, and Navigation: With Descriptions of the Instruments and the Necessary Tables |
From inside the book
Results 1-5 of 48
Page 41
... cotang , and the one designated cotang , by tang . The angle found by taking the degrees at the top of the page , and the minutes from the left hand vertical column , at the bottom of the page , and the minutes is the complement of the ...
... cotang , and the one designated cotang , by tang . The angle found by taking the degrees at the top of the page , and the minutes from the left hand vertical column , at the bottom of the page , and the minutes is the complement of the ...
Page 42
... cotang , and cotang with tang , as in the tables ( Art . 12 ) . If the angle is greater than 90 ° , we have only to sub- tract it from 180 ° , and take the sine , cosine , tangent , or cotangent of the remainder . The column of the ...
... cotang , and cotang with tang , as in the tables ( Art . 12 ) . If the angle is greater than 90 ° , we have only to sub- tract it from 180 ° , and take the sine , cosine , tangent , or cotangent of the remainder . The column of the ...
Page 16
... 9043 9087 998 999 9131 9174 9218 9261 9555 9009 9632 9696 9355 9392 9435 9479 9522 45 9526 , 9570 9913 | 9957 43 M. Sine D. D. Cotang . 10.000000 0.000000 Infinite . N. D. I 9 2 8 3 7 5 6 16 A TABLE OF LOGARITHMS FROM 1 TO 10,000 .
... 9043 9087 998 999 9131 9174 9218 9261 9555 9009 9632 9696 9355 9392 9435 9479 9522 45 9526 , 9570 9913 | 9957 43 M. Sine D. D. Cotang . 10.000000 0.000000 Infinite . N. D. I 9 2 8 3 7 5 6 16 A TABLE OF LOGARITHMS FROM 1 TO 10,000 .
Page 18
... Cotang . 10.000000 0.000000 Infinite . I 7.065786 6.463726 5017.17 764756 2934.85 940847 2082.31 1615.17 000000 .00 ... Cotang . D. Tang . M. M. Sine D. Cosine D. Tang . D. Cot ang ( 89 DEGREES . ) 18 ( 0 DEGREES . ) A TABLE OF LOGARITHMIC.
... Cotang . 10.000000 0.000000 Infinite . I 7.065786 6.463726 5017.17 764756 2934.85 940847 2082.31 1615.17 000000 .00 ... Cotang . D. Tang . M. M. Sine D. Cosine D. Tang . D. Cot ang ( 89 DEGREES . ) 18 ( 0 DEGREES . ) A TABLE OF LOGARITHMIC.
Page 19
... Cotang . 11 01234567890 1 8-241855 119.63 9-999934 04 8.241921 119.67 11.758079 60 249033 117.68 999932 .04 249102 ... Cotang . D. Tang M. Sine D. Cosine D. Tang . D. Cotang . 16 ( 88 DEGREES . ) SINES AND TANGENTS . ( 1 DEGREE . ) 19.
... Cotang . 11 01234567890 1 8-241855 119.63 9-999934 04 8.241921 119.67 11.758079 60 249033 117.68 999932 .04 249102 ... Cotang . D. Tang M. Sine D. Cosine D. Tang . D. Cotang . 16 ( 88 DEGREES . ) SINES AND TANGENTS . ( 1 DEGREE . ) 19.
Other editions - View all
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.