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Plane Trigonometry: For the Use of Colleges and Schools; With Numerous Examples (Classic Reprint) - Softcover

 
9781330218327: Plane Trigonometry: For the Use of Colleges and Schools; With Numerous Examples (Classic Reprint)

Synopsis

This book delves into the fascinating world of Plane Trigonometry, a branch of mathematics that explores the relationships between the sides and angles of triangles. The author lays out the fundamental principles of this field in a clear and concise manner, providing a comprehensive foundation for both beginners and those seeking to deepen their understanding. The book takes a historical approach, starting with the ancient Greek definition of angles and their measurement in degrees, minutes, and seconds. It then introduces the French centesimal system and the concept of circular measure, showcasing the evolution of angle measurement techniques. The author meticulously explores trigonometrical ratios, such as sine, cosine, and tangent, demonstrating their application in real-world problems and laying out their fundamental relations through algebraic equations. The book goes on to examine the nuances of applying algebraical signs to angles, extending the principles to encompass both positive and negative angles of any magnitude. This provides a robust framework for understanding the behavior of trigonometric functions across the full spectrum of angles. Finally, the book explores methods for constructing angles with specific trigonometric ratios and establishes formulas that capture all angles sharing the same ratio. Through its comprehensive treatment of Plane Trigonometry, this book empowers readers to grasp the intricacies of this fundamental mathematical field and apply its principles to various problems.

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Isaac Todhunter
Published by Forgotten Books, 2018
ISBN 10: 1330218329 ISBN 13: 9781330218327
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Paperback. Condition: New. Print on Demand. This book delves into the fascinating world of Plane Trigonometry, a branch of mathematics that explores the relationships between the sides and angles of triangles. The author lays out the fundamental principles of this field in a clear and concise manner, providing a comprehensive foundation for both beginners and those seeking to deepen their understanding. The book takes a historical approach, starting with the ancient Greek definition of angles and their measurement in degrees, minutes, and seconds. It then introduces the French centesimal system and the concept of circular measure, showcasing the evolution of angle measurement techniques. The author meticulously explores trigonometrical ratios, such as sine, cosine, and tangent, demonstrating their application in real-world problems and laying out their fundamental relations through algebraic equations. The book goes on to examine the nuances of applying algebraical signs to angles, extending the principles to encompass both positive and negative angles of any magnitude. This provides a robust framework for understanding the behavior of trigonometric functions across the full spectrum of angles. Finally, the book explores methods for constructing angles with specific trigonometric ratios and establishes formulas that capture all angles sharing the same ratio. Through its comprehensive treatment of Plane Trigonometry, this book empowers readers to grasp the intricacies of this fundamental mathematical field and apply its principles to various problems. 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. Seller Inventory # 9781330218327_0

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Isaac Todhunter
Published by Forgotten Books, 2018
ISBN 10: 1330218329 ISBN 13: 9781330218327
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330218327

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Isaac Todhunter
Published by Forgotten Books, 2018
ISBN 10: 1330218329 ISBN 13: 9781330218327
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330218327

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