The Practice of Engineering Field Work, Applied to Land, Hydrographic, and Hyraulic Surveying and Levelling, for Railways, Canals, Harbours, Towns' Water Supply ... Including the Description and Use of Surveying and Levelling Instruments and the Practical
The Practice of Engineering Field Work, Applied to Land, Hydrographic, and Hyraulic Surveying and Levelling, for Railways, Canals, Harbours, Towns' Water Supply ... Including the Description and Use of Surveying and Levelling Instruments and the Practical
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1858 Excerpt: ...describe the arc A E; then A B will be the tangent, and C B the secant of the angle C. This, it will be observed, may be done without altering the values of the three sides of the triangle, but by altering the position of the centre, and assuming one line instead of another as radius. Ex. Let the radius BC = 1120 feet, ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1858 Excerpt: ...describe the arc A E; then A B will be the tangent, and C B the secant of the angle C. This, it will be observed, may be done without altering the values of the three sides of the triangle, but by altering the position of the centre, and assuming one line instead of another as radius. Ex. Let the radius BC = 1120 feet, and B = 26 34'; required the lengths of B A and of A C. The line C A is drawn from the extremity C of the arc, perpendicular to the line B F, which is drawn from the centre B to the other extremity F of the arc; the line C A is the sine of the angle B, and B A intercepted between it and the centre is the cosine. The tabular cosine of 26 34'=89441, and the sine=44724; then 0-89441 x 1120 = 1001739 = B A; and 0-44724 x 1120=500-9 = A 0. The three lengths being given, the reader may now practise, by assuming B A the radius, A C the tangent, and A C the secant, B being still the centre. Or by assuming C as a centre, and C B as radius, B A will be the sine, and A C the cosine, of the angle C=63 26', for 90-26 34'=63 26'. Or again, with centre C, make C A radius, when A B will be the tangent, and C B the secant of the angle C. And we may reduce the resolution of plane right-angled triangles to the following analogies. Since the sides are to each other as the sines of the opposite angles, then Sine A: sine B:: BC: BA. But A is a right angle, the sine of which = radius, by some termed the Total Sine. The tabular sine of B or 26 34' = 44724, then we shall have, as the sine of 90 is to sine B, so is B C to BA; or, 1: -44724:: BC: BA, or 1: 44724:: 1120: 5009= AC And Sine 90: sine C:: B C: C A, and C = 63 26', the sine of which = 89441, then 1: -89441:: 1120: 10017392 = B A. Therefore, the sine 90: hypothenuse:: sine of given angle: opposite side. Or, sin...
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Seller's Description:
Volume 2. This is an ex-library book and may have the usual library/used-book markings inside. This book has hardback covers. In fair condition, suitable as a study copy. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 550grams, ISBN:
