Elements of Surveying and Leveling: With Descriptions of the Instruments, and the Necessary Tables |
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Page 9
... called the base of the system . Any positive number , except 1 , may be 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 ...
... called the base of the system . Any positive number , except 1 , may be 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 ...
Page 10
... called the characteristic ; the decimal part is called the 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 ...
... called the characteristic ; the decimal part is called the 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 ...
Page 25
... called a scale of ten parts to the inch . The line ab , which is divided , is called the unit of the scale . This unit is laid off several times on the left of the divided line , and the points marked 1 , 2 , 3 , & c . The unit of ...
... called a scale of ten parts to the inch . The line ab , which is divided , is called the unit of the scale . This unit is laid off several times on the left of the divided line , and the points marked 1 , 2 , 3 , & c . The unit of ...
Page 27
... called a degree . If through C , and each point of division , a chord be drawn , 1 scale ; such a scale is called a scale and the lengths of these chords be accurately laid off on a SEC . II . ] 27 GEOMETRICAL CONSTRUCTIONS .
... called a degree . If through C , and each point of division , a chord be drawn , 1 scale ; such a scale is called a scale and the lengths of these chords be accurately laid off on a SEC . II . ] 27 GEOMETRICAL CONSTRUCTIONS .
Page 28
... called a scale of chords . In the figure , the chords are drawn for every ten degrees . The scale of chords being once constructed , the radius of the circle from which the chords were obtained , is known ; for , the chord marked 60 ...
... called a scale of chords . In the figure , the chords are drawn for every ten degrees . The scale of chords being once constructed , the radius of the circle from which the chords were obtained , is known ; for , the chord marked 60 ...
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Common terms and phrases
Applying logarithms axis azimuth back-sight base-line bearing chord clamp-screw column compass contour lines corresponding Cosine Cosine D Cotang course curve decimal degree of curvature degrees determined difference of level divided double meridian distance draw drawn east error example feet field-notes fore-sight given angle given line given point ground height of instrument hence horizontal angles horizontal distance horizontal plane inch intersection latitude and departure length limb line of collimation M.
M. Sine mantissa marked measured method multiplied notes offsets paper parallel passing perpendicular plane of reference plot position prismoid protractor radius reading right angles scale of equal screws secant side sights Sine D slope spider's lines stakes station subtract surface survey taken Tang tangent theodolite traverse vernier plate vertical plane wwwwwwwww 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.