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 15
... remains I to be set down . DIVISION OF NUMBERS BY LOGARITHMS . 15. When it is required to divide numbers by means of their logarithms , we have only to recollect , that the subtrac- tion of logarithms corresponds to the division of ...
... remains I to be set down . DIVISION OF NUMBERS BY LOGARITHMS . 15. When it is required to divide numbers by means of their logarithms , we have only to recollect , that the subtrac- tion of logarithms corresponds to the division of ...
Page 16
... remains after subtracting this logarithm from 10 . Thus Hence , of 9.274687 . 10-9.274687 0.725313 . - 0.725313 is the arithmetical complement 17 We will now show that , the difference between two loga- rithms is truly found , by adding ...
... remains after subtracting this logarithm from 10 . Thus Hence , of 9.274687 . 10-9.274687 0.725313 . - 0.725313 is the arithmetical complement 17 We will now show that , the difference between two loga- rithms is truly found , by adding ...
Page 35
... remains after subtracting the arc from 90 ° . Thus , the arc EB is the complement of AB . The sum of an arc and its complement is equal G to 90o . 43. The supplement of an arc is what remains after subtracting the arc from 180 ° . Thus ...
... remains after subtracting the arc from 90 ° . Thus , the arc EB is the complement of AB . The sum of an arc and its complement is equal G to 90o . 43. The supplement of an arc is what remains after subtracting the arc from 180 ° . Thus ...
Page 60
... remains in the middle of the tube , one line of the limb is horizontal . But if the bubble recede from the centre of the level , raise the lower , or depress the upper end , one - half by the levelling screws , the other by the thumb ...
... remains in the middle of the tube , one line of the limb is horizontal . But if the bubble recede from the centre of the level , raise the lower , or depress the upper end , one - half by the levelling screws , the other by the thumb ...
Page 66
... 87. Having explained the preliminary principles , it only remains to apply them to the measurement of Heights and PROBLEM I. To determine the horizontal distance to a point Distances . 66 ELEMENTS OF SURVEYING . Heights and Distances,
... 87. Having explained the preliminary principles , it only remains to apply them to the measurement of Heights and PROBLEM I. To determine the horizontal distance to a point Distances . 66 ELEMENTS OF SURVEYING . Heights and Distances,
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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.