Elementary Plane Geometry: Inductive And Deductive (1903) - Tapa blanda

Baker, Alfred

 
9781164630739: Elementary Plane Geometry: Inductive And Deductive (1903)
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ISBN 10: 1164630733 ISBN 13: 9781164630739
Editorial: Kessinger Publishing, 2010

Sinopsis

Elementary Plane Geometry: Inductive and Deductive is a book written by Alfred Baker in 1903. This book is a comprehensive guide to the study of geometry, specifically focusing on plane geometry. The book is divided into two parts - inductive and deductive. The inductive part of the book focuses on the process of reasoning from specific examples to general principles. The deductive part of the book focuses on the process of reasoning from general principles to specific examples. The book covers a wide range of topics in plane geometry, including angles, lines, triangles, quadrilaterals, circles, and polygons. The author provides detailed explanations of each topic, along with numerous examples and exercises to help the reader understand the concepts. The book also includes a section on geometric constructions, which teaches the reader how to use a compass and straightedge to construct various geometric figures.Overall, Elementary Plane Geometry: Inductive and Deductive is a valuable resource for anyone studying geometry. The book is written in a clear and concise manner, making it easy to understand even for those who are new to the subject. The numerous examples and exercises provided in the book help the reader to practice and apply the concepts learned, making it an excellent tool for self-study or for use in a classroom setting.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.

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Reseña del editor

This scarce antiquarian book is a selection from Kessinger Publishing's Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone!

Reseña del editor

The geometry of Euclid is deductive. Yet the processes of all sciences, other than pure mathematics, involve both induction and deduction. All the knowledge which we have of life, with its varied phenomena, is reached by induction and deduction. A ny science, then, which permits the student, from a number of observations, to reach a general result, and again from such generalization to draw conclusions, must have distinct educational value. The present little book is an attempt to make the processes of elementary geometry both inductive and deductive. I feel that in making this attempt I am adapting the study of Geometry to immature minds. The mind of youth receives its knowledge in the form of isolated facts; it is for the educator to point out that isolated facts fall into groups and may be crystallized into general conclusions. Special opportunities present themselves in elementary geometry for following this method. Thus, if a number of triangles be accurately constructed with bases of 45 millimetres and angles at the bases 75 and 62 ,by actual measurement the learner finds that all the sides opposite to the angles of 75 are equal, and likewise those opposite to the angles of 62 ,and that the remaining angles of the triangles have the same magnitude. Analogous constructions and measurements being repeated in a number of cases, the learner, as a matter of inductive observation, feels himself justified in making the generalization expressed in the enunciation of Euclid I., 26. In the process the intellectual interest and curiosity of the pupil are excited, and in reaching the conclusion he feels almost as if he had made the discovery himself. I f, subsequently, geometrical forms are presented to him where he can utilize his previous conclusion, he feels with keenness the value of his previous work. He has, in fact, been going through the process of inducti
(Typographical errors above are due to OCR software and don't occur in the book.)

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Editorial
Kessinger Publishing
Año de publicación
2010
Idioma
Inglés
ISBN 10 
1164630733
ISBN 13 
9781164630739
Encuadernación
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Número de páginas
150
Contacto del fabricante
no disponible
Persona responsable
no disponible

Otras ediciones populares con el mismo título

9781015015999: Elementary Plane Geometry: Inductive and Deductive.

Edición Destacada

ISBN 10:  1015015999 ISBN 13:  9781015015999
Editorial: Legare Street Press, 2021
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