Elements of Surveying and Leveling: With Descriptions of the Instruments, and the Necessary Tables |
From inside the book
Results 1-5 of 70
Page 11
... NOTE . It is to be observed , that the characteristic of a mixed number is the same as that of its entire part . Thus , the mixed number 74.103 lies between 10 and 100 ; hence , its loga- rithm lies between 1 and 2 , as does the ...
... NOTE . It is to be observed , that the characteristic of a mixed number is the same as that of its entire part . Thus , the mixed number 74.103 lies between 10 and 100 ; hence , its loga- rithm lies between 1 and 2 , as does the ...
Page 21
... NOTE 1. - In finding any term of a proportion by logarithms -observe that , 1. The sum of the logarithms of the extremes , is equal to the sum of the logarithms of the means : 2. The logarithm of the fourth term , is equal to the arith ...
... NOTE 1. - In finding any term of a proportion by logarithms -observe that , 1. The sum of the logarithms of the extremes , is equal to the sum of the logarithms of the means : 2. The logarithm of the fourth term , is equal to the arith ...
Page 22
... NOTE 3. If the logarithm , whose arithmetical complement is taken , exceeds 10 , subtract it from 20 , and reject 20 in the final operation . RAISING TO POWERS BY LOGARITHMS . 18. To raise a number to any power . From the principle ...
... NOTE 3. If the logarithm , whose arithmetical complement is taken , exceeds 10 , subtract it from 20 , and reject 20 in the final operation . RAISING TO POWERS BY LOGARITHMS . 18. To raise a number to any power . From the principle ...
Page 27
... NOTE 1. If a line is so long that the whole of it cannot be taken from the scale , it must be divided , and the parts of it taken from the scale in succession . NOTE 2. If a line be given upon the paper , its length can be found by ...
... NOTE 1. If a line is so long that the whole of it cannot be taken from the scale , it must be divided , and the parts of it taken from the scale in succession . NOTE 2. If a line be given upon the paper , its length can be found by ...
Page 33
... NOTE . This problem explains the manner of representing a line upon paper , so that a given number of its parts shall correspond to the unit of the scale , whether that unit be an inch or any part of an inch . When the length of the ...
... NOTE . This problem explains the manner of representing a line upon paper , so that a given number of its parts shall correspond to the unit of the scale , whether that unit be an inch or any part of an inch . When the length of 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.