Elements of Surveying: Including a Description of the Instruments and the Necessary Tables |
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Page 65
... base line AB , and select the stations A and B , in such a manner that each can be seen from the other , and the point C from both of them . Then measure the horizontal angles CAB and CBA . B Let us suppose that we have found AB = 600 ...
... base line AB , and select the stations A and B , in such a manner that each can be seen from the other , and the point C from both of them . Then measure the horizontal angles CAB and CBA . B Let us suppose that we have found AB = 600 ...
Page 66
... base line , as BA ; and at the ex- tremities B and A , measure the horizontal angles CBA and CAB , Measure also , the angle of elevation DBC . Then in the triangle CBA there will be known , two angles and the side AB ; the side BC can ...
... base line , as BA ; and at the ex- tremities B and A , measure the horizontal angles CBA and CAB , Measure also , the angle of elevation DBC . Then in the triangle CBA there will be known , two angles and the side AB ; the side BC can ...
Page 68
... base line AB in the direction of the object D. To do this , it will be well to A place the theodolite at A , and range the chain staves by means of the upper telescope . Having measured the base , measure with the instrument the angles ...
... base line AB in the direction of the object D. To do this , it will be well to A place the theodolite at A , and range the chain staves by means of the upper telescope . Having measured the base , measure with the instrument the angles ...
Page 69
... base line AB , and at the stations A and B conceive the two horizontal lines AC , BC , to be drawn . The oblique lines from A and B to the object will be the hypothenuses of two right - angled triangles , of which AC , BC , are the ...
... base line AB , and at the stations A and B conceive the two horizontal lines AC , BC , to be drawn . The oblique lines from A and B to the object will be the hypothenuses of two right - angled triangles , of which AC , BC , are the ...
Page 70
... base line , if great accuracy is required , the theodolite should be placed at one extremity , and the telescope directed to the other , and the alignment of the staves made by means of the intersection of the spider's lines . If the ...
... base line , if great accuracy is required , the theodolite should be placed at one extremity , and the telescope directed to the other , and the alignment of the staves made by means of the intersection of the spider's lines . If the ...
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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...