Elements of Surveying and Leveling: With Descriptions of the Instruments, and the Necessary Tables |
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Page 9
... taken as the base of a system . In the common system , the base is 10 . 2. If we denote any positive number by n , and the corresponding exponent of 10 by p , we shall have the exponential equation , 10o = n . • • ( 1. ) In this ...
... taken as the base of a system . In the common system , the base is 10 . 2. If we denote any positive number by n , and the corresponding exponent of 10 by p , we shall have the exponential equation , 10o = n . • • ( 1. ) In this ...
Page 14
... taken from the line immediately below . When the figures first found , fall at a place where dots occur , the dots must be replaced by O's , and the figures to be prefixed must be taken from the line below . Thus , Log 8979 = 3.953228 ...
... taken from the line immediately below . When the figures first found , fall at a place where dots occur , the dots must be replaced by O's , and the figures to be prefixed must be taken from the line below . Thus , Log 8979 = 3.953228 ...
Page 16
... taken out and that of the given logarithm ; an- ' nex as many O's as may be necessary , and divide this result by the corresponding number in the column " D. " Annex the quotient to the number set aside , and then point off , from the ...
... taken out and that of the given logarithm ; an- ' nex as many O's as may be necessary , and divide this result by the corresponding number in the column " D. " Annex the quotient to the number set aside , and then point off , from the ...
Page 18
... taken from 1 , gives 2 for a result . The sub- traction , as in this case , is always to be performed in the algebraic sense . 3. To divide 0.06314 by .007241 . log 0.06314 2.800305 • • • log 0.007241 • • 3.859799 Here , 1 carried from ...
... taken from 1 , gives 2 for a result . The sub- traction , as in this case , is always to be performed in the algebraic sense . 3. To divide 0.06314 by .007241 . log 0.06314 2.800305 • • • log 0.007241 • • 3.859799 Here , 1 carried from ...
Page 19
... taken from 2 , leaves 0 for the char- acteristic . 4. To divide 37.149 by 523.76 . log 37.149 log 523.76 • • 1.569947 • 2.719133 • 2.850814 ... 0.0709274 , quotient . 5. Divide 0.7438 by 12.9476 . Ans . 0.057447 . The operation of ...
... taken from 2 , leaves 0 for the char- acteristic . 4. To divide 37.149 by 523.76 . log 37.149 log 523.76 • • 1.569947 • 2.719133 • 2.850814 ... 0.0709274 , quotient . 5. Divide 0.7438 by 12.9476 . Ans . 0.057447 . The operation of ...
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Common terms and phrases
adjusted Applying logarithms axis azimuth back-sight base-line bearing chord clamp-screw column compass corresponding Cosine Cosine D course curve decimal DegDeg degree of curvature degrees determined difference of level divided double meridian distance draw east error example feet field-notes fore-sight given angle given line ground hence horizontal angles horizontal distance horizontal plane inch intersection LatDeg LatDegDeg LatDegDegDegDeg latitude and departure length limb line of collimation locating M.
M. Sine M.
M. Sine D mantissa marked measured method multiplied NOTE offsets parallel passed perpendicular plane of reference plot position prismoid protractor radius reading right angles scale of equal screws secant side sights similar triangles Sine Cotang slope spider's lines stakes station subtract surface survey taken Tang tangent theodolite traverse vernier plate vertical plane yards
Popular passages
Page 56 - ... the square of the hypothenuse is equal to the sum of the squares of the other two sides.
Page 12 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 17 - The minutes in the 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.
Page 37 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; and each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds ; and these into thirds, etc.
Page 12 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
Page 10 - When a number lies between 1 and 10, its logarithm lies between 0 and 1; that is, it is equal to 0, plus a decimal; if a number lies between 10...
Page 9 - The logarithm of a number is the exponent of the power to which it is necessary to raise a fixed number, in order to produce the first number.
Page 11 - The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers.
Page 130 - MC; hence, the double meridian distance of a course is equal to the double meridian distance of the preceding course, plus the departure of that course, plus the departure of the course itself : if .there is no preceding course, the first two terms become zero.
Page 38 - 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.