Elements of Surveying and Leveling: With Descriptions of the Instruments, and the Necessary Tables |
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Page 25
... perpendicular to A В. 2 SCALE OF EQUAL PARTS . 1 1.2.3.4.5.6.7.8.9 10 a b 25. A scale of equal parts is formed by dividing a line of a given length , into equal portions . If , for example , the line ab , of a given length , say one ...
... perpendicular to A В. 2 SCALE OF EQUAL PARTS . 1 1.2.3.4.5.6.7.8.9 10 a b 25. A scale of equal parts is formed by dividing a line of a given length , into equal portions . If , for example , the line ab , of a given length , say one ...
Page 31
... perpendicular to the line . 33. Let A be the given point , and BC the given line . From A , lay off any two distances , AB D and AC , equal to each other . Then , from the points B and C , as centres , with a radius greater than BA ...
... perpendicular to the line . 33. Let A be the given point , and BC the given line . From A , lay off any two distances , AB D and AC , equal to each other . Then , from the points B and C , as centres , with a radius greater than BA ...
Page 44
... perpendicular to AB : now DE is the sine of the angle A , and CF is the sine of B , to the same radius AD or BC . But by similar triangles , AD : DE :: AC : CF. But AD being equal to BC , we have BC : sin A :: sin B , AC : BC : AC ...
... perpendicular to AB : now DE is the sine of the angle A , and CF is the sine of B , to the same radius AD or BC . But by similar triangles , AD : DE :: AC : CF. But AD being equal to BC , we have BC : sin A :: sin B , AC : BC : AC ...
Page 45
... perpendicular to IC . The perpendicular CE will pass through E , the extremity of the diameter IE , since the right angle ICE must be inscribed in a semicircle . But CE is the tangent of CIE = + ( C + B ) ; and IH is the tangent of ICB ...
... perpendicular to IC . The perpendicular CE will pass through E , the extremity of the diameter IE , since the right angle ICE must be inscribed in a semicircle . But CE is the tangent of CIE = + ( C + B ) ; and IH is the tangent of ICB ...
Page 46
... perpendicular to the base , dividing it into two segments : then , the whole base , or sum of the segments , is to the sum of the other two sides , as the difference of those sides , to the differ- ence of the segments . 65. Let BAC be ...
... perpendicular to the base , dividing it into two segments : then , the whole base , or sum of the segments , is to the sum of the other two sides , as the difference of those sides , to the differ- ence of the segments . 65. Let BAC be ...
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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.