Elements of Surveying, and Navigation: With Descriptions of the Instruments and the Necessary Tables |
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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
... 8652 8956 9000 9043 9087 9392 9435 9479 9522 44 9826 9870 9913 9957 5986 6030 44 6424 6468 44 44 44 44 43 4443 M. Sine D. D. Cotang . IC 01234567890 8.718800 40.06 N. D. 0 9 I 8 2 7 3 6 4 5 16 A TABLE OF LOGARITHMS FROM 1 TO 10,000 .
... 8652 8956 9000 9043 9087 9392 9435 9479 9522 44 9826 9870 9913 9957 5986 6030 44 6424 6468 44 44 44 44 43 4443 M. Sine D. D. Cotang . IC 01234567890 8.718800 40.06 N. D. 0 9 I 8 2 7 3 6 4 5 16 A TABLE OF LOGARITHMS FROM 1 TO 10,000 .
Page 17
... left - hand column of each page , increasing downwards , belong to the degrees at the top ; and those increasing upwards , in the right - hand column , belong to the degrees below . M. Sine D. Cosine D. Tang . D. Cotang .
... left - hand column of each page , increasing downwards , belong to the degrees at the top ; and those increasing upwards , in the right - hand column , belong to the degrees below . M. Sine D. Cosine D. Tang . D. Cotang .
Page 18
... Cotang . II 12 13 14 15 16 01234RUNGO REDT 10.000000 0.000000 Infinite . I 6.463726 7.065786 5017.17 764756 2934.85 000000 * .00 940847 2082.31 1615.17 000000 ⚫00 162696 1319.68 000000 241877 1115.75 9.999999 308824 966.53 999999 ...
... Cotang . II 12 13 14 15 16 01234RUNGO REDT 10.000000 0.000000 Infinite . I 6.463726 7.065786 5017.17 764756 2934.85 000000 * .00 940847 2082.31 1615.17 000000 ⚫00 162696 1319.68 000000 241877 1115.75 9.999999 308824 966.53 999999 ...
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Common terms and phrases
axis azimuth back-sight base line bearing called centre chords column comp compass Cosine Cosine D Cotang course decimal degrees determined diff difference of latitude difference of level difference of longitude direction dist divided double meridian distance draw east error example feet figure fore-sight ground half hence horizontal distance horizontal line horizontal plane inches instrument intersection latitude and departure length limb line of collimation logarithm M.
M. Sine marked measure method middle latitude miles multiplied needle parallel PARALLEL SAILING perpendicular plane of reference plane sailing plot protractor radius right angles right-angled triangle rods sailing scale of equal screws sides sights Sine D spherical excess spider's lines square chains staff stakes station subtract surface survey Tang tangent telescope theodolite trigonometrical variation vernier plate vertical wwwwwwwwww yards
Popular passages
Page 44 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Page 67 - 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 was 33° 45' ; required the height of the tower.
Page 119 - Longitude of the preceding course^ plus the Departure of that course, plus the Departure of the course itself* The Double Longitude of the last course (as well as of the first) is equal to its Departure. Its "coming out" so, when obtained by the above rule, proves the accuracy of the calculation of all the preceding Double Longitudes.
Page 15 - 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 148 - 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 98 - 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 148 - Then if the star depart from the plumb-line, move the compass-sight, east or west, along the timber, as the case may be, until the star shall attain its greatest elongation, when it will continue behind the plumb-line for several minutes ; and will then recede from it in the direction contrary to its motion before it became stationary. Let the compass-sight be now fastened to'the horizontal plank.
Page 28 - 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.
Page 51 - 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 45 - 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.