Elements of Surveying: With a Description of the Instruments and the Necessary Tables, Including a Table of Natural SinesA.S. Barnes and Company, 1840 |
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Page 11
... true . To explain the reason of the above method , let us take the logarithm of 672900 , a number greater than 672800 by 100 . We then have , log 672900 = 5.827951 log 672800 = 5.827886 Difference of numbers 100 65 difference of loga ...
... true . To explain the reason of the above method , let us take the logarithm of 672900 , a number greater than 672800 by 100 . We then have , log 672900 = 5.827951 log 672800 = 5.827886 Difference of numbers 100 65 difference of loga ...
Page 31
... true length of the line which it represents , take the line in the dividers and apply it unit to which it is equal . Then multiply this to the scale , and note the number of units , and parts of an SOLUTION OF PROBLEMS . 31.
... true length of the line which it represents , take the line in the dividers and apply it unit to which it is equal . Then multiply this to the scale , and note the number of units , and parts of an SOLUTION OF PROBLEMS . 31.
Page 45
... true for either of the angles ABC , or AB'C , which are supplements of each other , and therefore have the same sine ( Art . 43 ) . As long as the two tri- angles exist , the ambiguity will continue . But if the side CB , opposite the ...
... true for either of the angles ABC , or AB'C , which are supplements of each other , and therefore have the same sine ( Art . 43 ) . As long as the two tri- angles exist , the ambiguity will continue . But if the side CB , opposite the ...
Page 57
... true horizontal distance . The supports of the upper telescope are called the wyes , and designated Y's . Two loops , turning on hinges , pass over the telescope , and are made fast by the pins c and d ; these loops confine the ...
... true horizontal distance . The supports of the upper telescope are called the wyes , and designated Y's . Two loops , turning on hinges , pass over the telescope , and are made fast by the pins c and d ; these loops confine the ...
Page 65
... true measure of the horizontal angle . If , therefore , its place be carefully noted for the first direction , and also for the second , the difference of these two readings will be the true angle , unless the vernier shall have passed ...
... true measure of the horizontal angle . If , therefore , its place be carefully noted for the first direction , and also for the second , the difference of these two readings will be the true angle , unless the vernier shall have passed ...
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Common terms and phrases
adjustment angle of elevation axis azimuth back-sights base line bearing bubble called centre clamp-screw coincide column comp Cosine Sine Cotang course curve decimal determined difference of level direction divided double meridian distance draw east error example extremity feet field notes figure find the area given line given point ground Gunter's chain Hence horizontal angle horizontal distance horizontal plane hypothenuse inches instrument intersection LatDegDegDegDeg Distance latitude and departure length levelling screws line AC line of collimation logarithm M.
M. Sine measure method multiplied object parallel passing perpendicular piece of land plane of reference PROBLEM protractor radius right angles right-angled triangle side sights similar triangles spider's lines square chains square rods subtract surface survey Tang tangent theodolite thumb-screw truly horizontal Turn the vernier upper telescope vernier plate vertical angle vertical limb yards
Popular passages
Page 20 - FRACTION is a negative number, and is one more than the number of ciphers between the decimal point and the first significant Jigure.
Page 57 - ... the square of the hypothenuse is equal to the sum of the squares of the other two sides.
Page 42 - 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 7 - ... 46 46 46 46 46 46 46 46 46 46 46 46 46 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 45 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 44 43 N.
Page 36 - This is a scale of two feet in length, on the faces of which a variety of scales are marked. The face on which the divisions of inches are made, contains, however, all the scales necessary for laying down lines and angles. These are, the scale of equal parts, the diagonal scale of equal parts, and the scale of chords, all of which have been described.
Page 138 - Take a board, of about one foot square, paste white paper upon it, and perforate it through the center; the diameter of the hole being somewhat larger than the diameter of the telescope of the theodolite. Let this board be so fixed to a vertical staff" as to slide up and down freely ; and let a small piece of board, about three inches square, be nailed to the lower edge of it, for the purpose of holding a candle.
Page 42 - Mathematics which treats of the solution of plane triangles. In every plane triangle there are six parts : three sides and three angles. When three of these parts are given, one being a side, the remaining parts may be found by computation.
Page 29 - AXIOM is a self-evident truth ; such as, — 1. Things which are equal to the same thing, are equal to each other. 2. If equals be added to equals, the sums will be equal. 3. If equals be taken from equals, the remainders will be equal. 4. If equals be added to unequals, the sums will be unequal.
Page 18 - 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 91 - ... 10, and the remainder will be the logarithm of double the area of the triangle. Find, from the table, the number answering to this logarithm, and divide it by 2 ; the quotient will be the required area (Geom.