Elements of Surveying and Leveling: With Descriptions of the Instruments, and the Necessary Tables |
From inside the book
Results 1-5 of 6
Page 10
... mantissa . 4. If , in Equation ( 3 ) , we make p successively equal to 0 , 1 , 2 , 3 , & c .; and then equal to -1 , -2 , -3 , & c . , we may form the following TABLE . log 1 log 10 = = 0 1 log .1 == -1 log 100 = 2 log .01 = - 2 log ...
... mantissa . 4. If , in Equation ( 3 ) , we make p successively equal to 0 , 1 , 2 , 3 , & c .; and then equal to -1 , -2 , -3 , & c . , we may form the following TABLE . log 1 log 10 = = 0 1 log .1 == -1 log 100 = 2 log .01 = - 2 log ...
Page 11
... mantissa being always positive . This fact is indicated by writing the nega- tive sign over the characteristic : thus , 2.371465 , is equivalent to - 2.371465 .. NOTE . It is to be observed , that the characteristic of a mixed number is ...
... mantissa being always positive . This fact is indicated by writing the nega- tive sign over the characteristic : thus , 2.371465 , is equivalent to - 2.371465 .. NOTE . It is to be observed , that the characteristic of a mixed number is ...
Page 13
... mantissa of the logarithm of any number is not ' changed by multiplying or dividing the number by any exact power of ... mantissa of the logarithm of a num- ber , we may regard the number as a decimal , and move the decimal point ...
... mantissa of the logarithm of any number is not ' changed by multiplying or dividing the number by any exact power of ... mantissa of the logarithm of a num- ber , we may regard the number as a decimal , and move the decimal point ...
Page 14
... mantissa , look in the column headed " N , " for the first three figures of the number ; then pass along a hori- zontal line until you come to the column headed with the fourth figure of the number ; at this place will be found four ...
... mantissa , look in the column headed " N , " for the first three figures of the number ; then pass along a hori- zontal line until you come to the column headed with the fourth figure of the number ; at this place will be found four ...
Page 15
... mantissa of the logarithm of 6728 is 827886 , and that of 6729 is 827951 , and their differ- ence is 65 ; 87 hundredths of this difference is 57 : hence , the mantissa of the logarithm of 6728.87 , is found by adding 57 to 827886. The ...
... mantissa of the logarithm of 6728 is 827886 , and that of 6729 is 827951 , and their differ- ence is 65 ; 87 hundredths of this difference is 57 : hence , the mantissa of the logarithm of 6728.87 , is found by adding 57 to 827886. The ...
Other editions - View all
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.