Excerpt from Elements of Analytic Geometry
This discipline should consist first in training to think, and second in training to express thought.
This training to think will consist mainly in training to form clear, precise, and correct mathematical concep tions and to form trains of deductive reasoning constructed with perfect logical soundness and cogency. Hence the student should be frequently required to give clear, precise, and correct definitions of the terms he is using, to show every point, line and angle discussed in a neat clear and correct figure and to translate his final equation into ordinary lan guage until at last each letter and symbol in it shall at once, and clearly, express to him the magnitude or the operation for which it stands. He should also be required to state clearly and correctly each step in the argument, to state it in its log ical order and to fortify each step by quoting the proof for it; so that when he reaches his final equation he shall feel that it must necessarily be true. Hence an attempt has been made in this book to cast the demonstrations as far as possible in the form of those given in elementary geometry.
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Paperback. Condition: New. Print on Demand. This book delves into the fundamentals of analytic geometry, providing a valuable foundation for further exploration in mathematics. The author guides the reader through the principles of coordinate systems, loci, and the representation of straight lines using equations. Key concepts such as intercepts, slopes, and the determination of equations for specified lines are thoroughly explained. The author seamlessly blends theoretical concepts with practical examples, allowing readers to grasp abstract ideas and their concrete applications. The text is structured to foster a logical progression of knowledge, building upon previously established concepts to introduce more complex ideas. By studying this book, readers will gain a comprehensive understanding of the fundamental principles of analytic geometry. These principles serve as a gateway to more advanced studies in mathematics and its applications, making this book an invaluable resource for students and professionals alike. 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 # 9780282427047_0
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780282427047
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780282427047
Quantity: 15 available