Elements of Surveying: Including a Description of the Instruments and the Necessary Tables |
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Page 36
... cotang , and cotang with tang , as in the tables ( Art . 49 ) . If the angle is greater than 90 ° , we have only to subtract it from 180 ° , and take the sine , cosine , tangent or cotangent of the remainder . The column of the table ...
... cotang , and cotang with tang , as in the tables ( Art . 49 ) . If the angle is greater than 90 ° , we have only to subtract it from 180 ° , and take the sine , cosine , tangent or cotangent of the remainder . The column of the table ...
Page 16
... Cotang . Intuite . 60 000000 00 6.4637261501717 13.536274 59 000000 00 764756 293483 235244 58 3 940817 208231 ... Cotang . 772805 2 765379 758079 0 Tang . M. M. Sine D. Cosine D. Tang . D. Cotang . 89 Degrees . 18 ( 0 Degree . ) A TABLE ...
... Cotang . Intuite . 60 000000 00 6.4637261501717 13.536274 59 000000 00 764756 293483 235244 58 3 940817 208231 ... Cotang . 772805 2 765379 758079 0 Tang . M. M. Sine D. Cosine D. Tang . D. Cotang . 89 Degrees . 18 ( 0 Degree . ) A TABLE ...
Page 17
... Cotang . M. Sine D. Cosine D. Tang . D. Cotang . 249033 11768 999932 04 249102 11772 234 999929 04 256165 11584 750898 59 743835 58 999927 04 999925 04 263115 11402 736885 57 269956 11225 730044 56 999922 04 276691 11054 723309 55 ...
... Cotang . M. Sine D. Cosine D. Tang . D. Cotang . 249033 11768 999932 04 249102 11772 234 999929 04 256165 11584 750898 59 743835 58 999927 04 999925 04 263115 11402 736885 57 269956 11225 730044 56 999922 04 276691 11054 723309 55 ...
Page 18
... Cotang . 60049.999735 07 8.543084 | 6012 11.456916 ) 60 999731 07 546691 5962 018.5428191 1 546422 5955 453309 59 549995 5906 999726 07 550268 5914 449732 58 553539 5858 999722 08 553817 5866 446183 57 557054 5811 999717 08 557336 5819 ...
... Cotang . 60049.999735 07 8.543084 | 6012 11.456916 ) 60 999731 07 546691 5962 018.5428191 1 546422 5955 453309 59 549995 5906 999726 07 550268 5914 449732 58 553539 5858 999722 08 553817 5866 446183 57 557054 5811 999717 08 557336 5819 ...
Page 19
... Cotang. M. Sine D. Cosine D. | Tang . 1 D. Cotang . 4017 11.280604 60 721204 3984 999398 11 723595 3962 999391 11 721806 724204 3974 3995 278194 59 275796 58 725972 3941 999384 11 726588 3952 273412 57 4 728337 3919 999378 11 728959 3930 ...
... Cotang. M. Sine D. Cosine D. | Tang . 1 D. Cotang . 4017 11.280604 60 721204 3984 999398 11 723595 3962 999391 11 721806 724204 3974 3995 278194 59 275796 58 725972 3941 999384 11 726588 3952 273412 57 4 728337 3919 999378 11 728959 3930 ...
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Common terms and phrases
acres adjusted angle of elevation axis azimuth back-sights base line called centre clamp-screw coincide column comp compass Cosine D Cosine Sine Cotang course curve decimal degrees determined difference of level direction divided double meridian distance draw east elongation error example extremity feet figure frustrum given angle given line given point ground Gunter's chain hence horizontal angle horizontal distance horizontal plane hypothenuse inches instrument intersection LatDegDegDegDeg latitude and departure length levelling screws line of collimation M.
M. Sine marked measure method multiplied needle object opposite station paper parallel passing perpendicular pins plain-table plane of reference protractor radius right angles right-angled triangle scale of equal secant side sights similar triangles Sine D spider's lines square chains staff subtracted surface survey Tang tangent theodolite true meridian vernier plate vertical limb yards
Popular passages
Page 32 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Page 39 - In any triangle, the sum of the two sides containing eithei angle, is to their difference, as the tangent of half the sum of the two other angles, to the tangent of half their difference.
Page 108 - B, from B to C, from C to D, from D to E, and from E to A ; and measure the distances AB, BC, CD, DE, and EA.
Page 33 - 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 12 - Find from the table the logarithm of the first four figures, and to it prefix a characteristic less by unity than all the places of figures in the given number. Take from the last column on the right of the page, marked D, the number on the same horizontal line with the logarithm, and multiply this number by the figures that have been considered as ciphers : then cut off from the right hand as many places for decimals as there are figures in the multiplier, and add the product so obtained to the...
Page 32 - In every plane triangle there are six parts : three sides and three angles. These parts are so related to each other, that if a certain number of them are known or given, the remaining ones can be determined.
Page 120 - The line so determined makes, with the true meridian, an angle equal to the azimuth of the polestar; and from this line the variation of the needle is readily determined, even without tracing the true meridian on the ground. Place the compass upon this line, turn the sights in the direction of it, and note the angle shown by the needle. 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...
Page 82 - Multiply the half sum and the three remainders together, and extract the square root of the product. EXAMPLES. 1. What is the area of a triangle whose sides are respectively 30, 40, and 50 feet ? 30 + 40 + 50 = 120.
Page 81 - Then, add together the logarithms of the two sides and the logarithmic sine of their included angle; from this sum subtract the logarithm of the radius, which is 10, and the remainder will be the logo.ritiim of double the area of the triangle.
Page 159 - NB In the following table, in the last nine columns of each page, where the first or leading figures change from 9's to O's, points or dots are introduced instead of the...