Isbn: 9780282629588 - elements of plane trigonometry, surveying and navigation (classic reprint) (3 Ergebnisse)

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Paperback. Zustand: New. 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. print-on-demand item.…