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# ðŸ“™ Elements Of Plane Trigonometry by Robert E. Moritz â€” download pdf

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ELEMENTS OF PLANE TRIGONOMETRY WITH FIVE-PLACE TABLES TEXT-BOOK FOR HIGH SCHOOLS, TECHNICAL SCHOOLS AND COLLEGES BY ROBERT E. MORITZ PBJ. NEBRASKA, PH. N. D. STRASSBURG, PROFESSOR OF MATHEMATICS. UNIVERSITY OF WASHINGTON NEW YORK JOHN WILEY SONS, INC. LONDON-CHAPMAN HALL, LIMITED COPYRIGHT, 1910 BY ROBERT . MORITZ Printed in U. S. A. . H. GILSON COMPANY BOSTON. U. S. A. PREFACE TRIGONOMETRY is college mathematics par excellence. To at least 90 per cent of all liberal arts students college mathematics means trigonometry and nothing else. It is important, therefore, that the science be presented in as simple and attractive a manner as possible and that it be made more than a mere method of solving triangles. The first the author tries to accomplish by making the treatment less technical than is customary, by introducing considerable historical matter, by not presupposing a too ready knowledge of elementary mathematics, and none at all of the topics ordinarily treated in college algebra. To accomplish the second point the angle is made the central idea of the science. This permits the enrichment of the science through the introduction of a variety of concepts and processes ordinarily reserved for advanced courses in mathematics. Since the treatment departs considerably from that current in text books on trigonometry, it is fitting that some of the leading characteristics of the present book should be enumerated at the outset First, as to subject-matter 1 The book has been planned to cover five months work at four lessons per week. Each months work is followed by a set of review exercises. Where less time must be given to the subject, certain advanced chapters may, of course, be omitted. 2 The introductory chapter on the graphic method of splving triangles is intended to impress the need of a more accurate method, the method of trigonometry. 3 A knowledge of logarithms has not been presupposed. For this reason a chapter on logarithms and the use of tables has been incorporated at its proper place. Classes who are properly prepared in logarithms may of course omit this chapter. 4 Many of the more important results have been derived by two or more independent methods. This has been done,-- IV PREFACE a To give the teacher a choice of methods. b To offer the ambitious student the advantage which comes from approaching the same truth from two or more directions. c To offer an alternative to the student without a teacher who finds undue difficulty with any one given proof. 5 It is not intended that all the problems should be assigned to any one class. The problems in each set are carefully graded and arranged as follows, a The first half in each set are very simple applications of the principles and theorems discussed in the preceding sections. b The next three or four problems require some originality on the part of the student. c The last few problems in each set are for the more ambitious student and frequently give him the opportunity to dis cover for himself results which are discussed in detail in later sections of the book. 6 Special care has been bestowed on the applied problems illus trating the solution of right and oblique triangles. In each case there is given first a set of problems involving miscellaneous heights and distances. This is followed by separate sets of applied problems from each of the following sciences Physics, Engineering, Navigation, Astronomy and Geography, and Elementary Geometry. These lists arc probably the most varied and complete that have been published in America in recent years. 7 Trigonometric curves have received much fuller treatment than is usual. The method of representing functions by curves is developed from first principles. The treatment includes sine curves of given amplitude and wave length, logarithmic and exponential curves, composition of harmonic curves, the catenary, and the curve of damped vibrations...

## About book:

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- Author:
**Robert E. Moritz** - Year:
**2007** - Publisher:
**Brouwer Press** - Language:
**English** - ISBN:
**1406700584,9781406700589**

- File size:
**10 536 094** - Format:
**pdf**

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This revision of a best-selling plane trigonometry text for freshmen and sophomores maintains the trademarks of clear, concise exposition coupled with graded problems. The result is a fresh and modern version of a classic text. Major changes include an em...

ESSENTIALS OF PLANE TRIGONOMETRY AND ANALYTIC GEOMETRY BY ATHERTON H. SPRAGUE PROFESSOR OP MATHEMATICS AMHEBST COLLEGE NEW YORK PRENTICE-HALL, INC. 1946 COPYRIGHT, 1934, BY PRENTICE-HALL, INC. 70 FIFTH AVENUE, NEW YORK ALL RIGHTS RESERVED. NO PART OF THIS...

Updated to match the emphasis in today's courses, this clear study guide focuses entirely on plane trigonometry. It summarizes the geometry properties and theorems that prove helpful for solving trigonometry problems. Also, where solving problems requires...

A bestiary of elementals and elemental creatures. Earth, air, fire, and water. Sonic, cold, acid, and electricity. From elder elementals and powerful dragons to minor mephits and mysterious outsiders, creatures major and minor are tired to the powers of t...

This classic text encompasses the most important aspects of plane and spherical trigonometry in a question-and-answer format. Its 913 specially selected questions appear with detailed answers that help readers refresh their trigonometry skills or clear up...

This text includes the following chapters and appendices: Numbers and Arithmetic Operations, Elementary Algebra, Intermediate Algebra, Fundamentals of Geometry, Fundamentals of Plane Trigonometry, Fundamentals of Calculus, Mathematics of Finance and Econo...

Trigonometry has always been the black sheep of mathematics. It has a reputation as a dry and difficult subject, a glorified form of geometry complicated by tedious computation. In this book, Eli Maor draws on his remarkable talents as a guide to the worl...

This volume is produced from digital images created through the University of Michigan University Library's preservation reformatting program....