Elements of Plane Trigonometry, Surveying and Navigation (Classic Reprint)
Language: English
Published by Forgotten Books, 2017
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
US$ 19.49
Quantity: Over 20 available
Add to basketItem description from seller
Print on Demand. This book presents a natural and coherent approach to plane trigonometry, guiding learners to feel the need for new principles before proceeding with their investigation. After defining the necessary terms, the author teaches how to solve a triangle by construction, the method that would naturally first occur. Finding this method to be imperfect, the author leads the reader to see the necessity, for accuracy, of solving triangles through arithmetical calculation. But here a difficulty presents itself from the incongruous elements of straight lines and angles. The author's effort to surmount this difficulty leads to the manner in which first the sines and cosines, and then the tangents and secants, are introduced and made subservient to the objective of solving triangles. These are found to be simply parts of an indefinite series of right-angled triangles that can be solved through calculation and by which other similar triangles, and finally all plane triangles, may be solved. Thus the theory of trigonometric tables is developed, and the objective - the complete solution of a plane triangle - accomplished. The principles of plane trigonometry, thus obtained, are next applied to the measurement of inaccessible heights and distances, to surveying and navigation, in a manner that clearly exhibits their great practical value. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.…
Seller Inventory # 9780282629588_0
- Title
- Elements of Plane Trigonometry, Surveying and Navigation (Classic Reprint)
- Author
- William Smyth
- Publisher
- Forgotten Books
- Publication year
- 2017
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 0282629580
- ISBN 13
- 9780282629588
- Seller catalogs
- Geometry
When this is not the case, some error must have occurred, either in the survey or the plotting. If not found in the latter, it should be sought in the field. Such lines and angles being first re-measured, in which it is most probable the error has occurred.
The reverse bearing may be taken, as we proceed, as a test of the accuracy of the direct bearing.
In the present example it remains only to mark on the plot the place of the tower referred to in the remarks. In order to this, at Awe lay off to the right an angle equal to the bear~ ing, of the tower at that station, and through this angle draw an indefinite line. We next at the station D lay off to the left an angle equal to the bearing 50° of the tower from that station, and through this angle draw an indefinite line intersecting the former. The point of intersection of the two lines will be the place of the tower on the plot.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Forgotten Books
London, United Kingdom
AbeBooks seller since June 2, 2021
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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.
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