Elements of Surveying and Leveling: With Descriptions of the Instruments, and the Necessary Tables |
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Page 27
... radius , as AC , we describe the quadrant CD , and then divide it into 90 equal parts , each part is 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 ...
... radius , as AC , we describe the quadrant CD , and then divide it into 90 equal parts , each part is 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 ...
Page 28
... radius of the circle from which the chords were obtained , is known ; for , the chord marked 60 , is always equal to the radius of the circle . A scale of chords is generally laid down on the scales which belong to cases of mathematical ...
... radius of the circle from which the chords were obtained , is known ; for , the chord marked 60 , is always equal to the radius of the circle . A scale of chords is generally laid down on the scales which belong to cases of mathematical ...
Page 31
... radius greater than BA , describe two arcs intersecting each other at D : draw AD , and it will be the perpendicular required . * B A C L. From a given point , without a straight line , to let fall a perpen- dicular on the line . 34 ...
... radius greater than BA , describe two arcs intersecting each other at D : draw AD , and it will be the perpendicular required . * B A C L. From a given point , without a straight line , to let fall a perpen- dicular on the line . 34 ...
Page 32
... radius , describe the arc IL , termi- nating in the two sides of the angle . From the point A , as a centre , with a distance AE , equal to KI , describe the arc ED ; then take the chord LI , with which , from the point E as a centre ...
... radius , describe the arc IL , termi- nating in the two sides of the angle . From the point A , as a centre , with a distance AE , equal to KI , describe the arc ED ; then take the chord LI , with which , from the point E as a centre ...
Page 35
... radius equal to the second side B , describe an arc : from E as a centre , with a radius equal to the third side D E A B C C , describe another arc , intersecting the former in F ; draw DF and EF , and DFE will be the triangle required ...
... radius equal to the second side B , describe an arc : from E as a centre , with a radius equal to the third side D E A B C C , describe another arc , intersecting the former in F ; draw DF and EF , and DFE will be the triangle required ...
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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.