Download or read book Plane Geometry for Secondary Schools written by Charles Davison and published by . This book was released on 1907 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Plane Geometry written by Edith Long and published by . This book was released on 1916 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A High School First Course in Euclidean Plane Geometry written by Charles H. Aboughantous and published by Universal-Publishers. This book was released on 2010-10 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: A High School First Course in Euclidean Plane Geometry is intended to be a first course in plane geometry at the high school level. Individuals who do not have a formal background in geometry can also benefit from studying the subject using this book. The content of the book is based on Euclid's five postulates of plane geometry and the most common theorems. It promotes the art and the skills of developing logical proofs. Most of the theorems are provided with detailed proofs. A large number of sample problems are presented throughout the book with detailed solutions. Practice problems are included at the end of each chapter and are presented in three groups: geometric construction problems, computational problems, and theorematical problems. The answers to the computational problems are included at the end of the book. Many of those problems are simplified classic engineering problems that can be solved by average students. The detailed solutions to all the problems in the book are contained in the Solutions Manual. A High School First Course in Euclidean Plane Geometry is the distillation of the author's experience in teaching geometry over many years in U.S. high schools and overseas. The book is best described in the introduction. The prologue offers a study guide to get the most benefits from the book.
Download or read book College Geometry written by Nathan Altshiller-Court and published by . This book was released on 1925 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometry in the Secondary School written by James Wallace MacDonald and published by . This book was released on 1889 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Foundations of Plane Geometry written by Harvey I. Blau and published by . This book was released on 2003 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ideal for users who may have little previous experience with abstraction and proof, this book provides a rigorous and unified--yet straightforward and accessible --exposition of the foundations of Euclidean, hyperbolic, and spherical geometry. Unique in approach, it combines an extended theme--the study of a generalized absolute plane from axioms through classification into the three fundamental classical planes--with a leisurely development that allows ample time for mathematical growth. It is purposefully structured to facilitate the development of analytic and reasoning skills and to promote an awareness of the depth, power, and subtlety of the axiomatic method in general, and of Euclidean and non-Euclidean plane geometry in particular. Focus on one main topic--The axiomatic development of the absolute plane--which is pursued through a classification into Euclidean, hyperbolic, and spherical planes. Presents specific models such as the sphere, the Klein-Betrami hyperbolic model, and the "gap" plane. Gradually presents axioms for absolute plane geometry.
Download or read book Plane and Solid Geometry written by C. A. Hart and published by Forgotten Books. This book was released on 2015-06-11 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Plane and Solid Geometry This book is the outgrowth of an experience of many years in the teaching of mathematics in secondary schools. The text has been used by many different teachers, in classes of all stages of development, and under varying conditions of secondary school teaching. The proofs have had the benefit of the criticisms of hundreds of experienced teachers of mathematics throughout the country. The book in its present form is therefore the combined product of experience, classroom test, and severe criticism. The following are some of the leading features of the book: The student is rapidly initiated into the subject. Definitions are given only as needed. The selection and arrangement of theorems is such as to meet the general demand of teachers, as expressed through the Mathematical Associations of the country. Most of the proofs have been given in full. In the Plane Geometry, proofs of some of the easier theorems and constructions are left as exercises for the student, or are given in an incomplete form. In the Solid Geometry, more proofs and parts of proofs are thus left to the student; but in every case in which the proof is not complete, the incompleteness is specifically stated. The indirect method of proof is consistently applied. The usual method of proving such propositions, for example, as Arts.189 and 415, is confusing to the student. The method used here is convincing and clear. The exercises are carefully selected. In choosing exercises, each of the following groups has been given due importance: (a) Concrete exercises, including numerical problems and problems of construction.(b) So-called practical problems, such as indirect measurements of heights and distances by means of equal and similar triangles, drawing to scale as an application of similar figures, problems from physics, from design, etc. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Download or read book Plain Plane Geometry written by Amol Sasane and published by World Scientific Publishing Company. This book was released on 2015-12-07 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book constitutes an elementary course on Plane Euclidean Geometry, pitched at pre-university or at advanced high school level. It is a concise book treating the subject axiomatically, but since it is meant to be a first introduction to the subject, excessive rigour is avoided, making it appealing to a younger audience as well. The aim is to cover the basics of the subject, while keeping the subject lively by means of challenging and interesting exercises. This makes it relevant also for students participating in mathematics circles and in mathematics olympiads. Each section contains several problems, which are not purely drill exercises, but are intended to introduce a sense of "play" in mathematics, and inculcate appreciation of the elegance and beauty of geometric results. There is an abundance of colour pictures illustrating results and their proofs. A section on hints and a further section on detailed solutions to all the exercises appear at the end of the book, making the book ideal also for self-study.
Download or read book Plane Geometry written by C. A. Hart and published by . This book was released on 2015-06-02 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Plane Geometry This book is the outgrowth of an experience of many years in the teaching of mathematics in secondary schools. The text has been used by many different teachers, in classes of all stages of development, and under varying conditions of secondary school teaching. The proofs have had the benefit of the criticisms of hundreds of experienced teachers of mathematics throughout the country. The hook in its present form is therefore the combined product of experience, classroom test, and severe criticism. The following are some of the leading features of the book: The student is rapidly initiated into the subject. Definitions are given only as needed. The selection and arrangement of theorems is such as to meet the general demand of teachers, as expressed through the Mathematical Associations of the country. Most of the proofs have been given in full. Proofs of some of the easier theorems and constructions are left as exercises for the student, or are given in an incomplete form; but in every case in which the proof is not complete, the incompleteness is specifically stated. The authors believe that the proofs of most of the propositions should be complete, first, in order to serve as models for the handling of exercises; second, to prevent the serious error of making the student feel contented with loose and slipshod reasoning which defeats the main purpose of instruction in geometry; and third, as an excellent means of reviewing the previous theorems on which they depend. The indirect method of proof is consistently applied. The usual method of proving such propositions as Arts. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Download or read book A History of the Teaching of Elementary Geometry written by Alva Walker Stamper and published by . This book was released on 1906 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book College Geometry written by Nathan Altshiller-Court and published by . This book was released on 1950 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Euclidean Plane Geometry written by Shaowei Zhang and published by . This book was released on 2014-07-26 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: We describe triangles in detail.The sum of the angles of a triangle equals to 180 degree, the congruence and similarity of two triangles, the Pythagorean theorem, the law of sine and the law of cosine.With the knowledge in this book, it is enough for students to take tests for the geometric parts of general SAT for Math, SAT Math subject I and II.
Download or read book Geometry Transformed Euclidean Plane Geometry Based on Rigid Motions written by James R. King and published by American Mathematical Soc.. This book was released on 2021-04-26 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many paths lead into Euclidean plane geometry. Geometry Transformed offers an expeditious yet rigorous route using axioms based on rigid motions and dilations. Since transformations are available at the outset, interesting theorems can be proved sooner; and proofs can be connected to visual and tactile intuition about symmetry and motion. The reader thus gains valuable experience thinking with transformations, a skill that may be useful in other math courses or applications. For students interested in teaching mathematics at the secondary school level, this approach is particularly useful since geometry in the Common Core State Standards is based on rigid motions. The only prerequisite for this book is a basic understanding of functions. Some previous experience with proofs may be helpful, but students can also learn about proofs by experiencing them in this book—in a context where they can draw and experiment. The eleven chapters are organized in a flexible way to suit a variety of curriculum goals. In addition to a geometrical core that includes finite symmetry groups, there are additional topics on circles and on crystallographic and frieze groups, and a final chapter on affine and Cartesian coordinates. The exercises are a mixture of routine problems, experiments, and proofs.
Download or read book Plane Geometry Suggestive Method written by George Clinton Shutts and published by Forgotten Books. This book was released on 2015-06-15 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Plane Geometry Suggestive Method It is believed that the subject of limits is treated in so simple a manner that beginners can grasp it. An edition, consisting of the theorems, the diagrams, the things given, and the things to prove, without suggestions for demonstration, will accompany the book for class-room use. It is hoped that this will be found as valuable in Geometry teaching as "text editions" have been in teaching the classics. This "Class-Room Edition" will save the time of the recitation usually consumed by the pupils in drawing the figures upon the blackboard. The complete edition of the book can be banished from the recitation and the temptation to get assistance from the text eliminated. The blackboards can thus be reserved for original demonstrations of exercises and for suggestive work by the teacher. The Class-Room Edition will lengthen the daily recitation, and make it possible for more work to be done in a year. The author wishes to thank those who have given the previous edition of the book so kind a reception. It is hoped that the present book will more fully meet the needs of all teachers who wish their pupils to make the largest possible growth in independent thinking in Geometry. Acknowledgment should be made of the scholarly criticism of Dr. C. A. Van Velzer, Head of the Department of Mathematics in the University of Wisconsin, for his helpful services in preparing for publication the manuscript of the first edition of the book. Thanks are also due for valuable suggestions in reading the proof to Mr. G. E. Bunsa, Superintendent of Schools, Columbus, Wisconsin; Mr. R. L. Sandwick, Principal of the Deerfield Township High School, Highland Park, Illinois; Miss Genevieve Decker, Teacher of Mathematics in the High School, Janesville, Wisconsin; Miss Maud Averill, Teacher of Mathematics in the High School, Whitewater, Wisconsin, and to Mr. Frank P. Dodge, Instructor in Mathematics in the Roxbury Latin School, Roxbury, Massachusetts. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Download or read book Plane Geometry Classic Reprint written by John C. Stone and published by Forgotten Books. This book was released on 2017-12-16 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Plane Geometry The stone-millis geometry, published in 1910, was a pioneer in its field, being the first of the series of American textbooks on geometry which of recent years have attempted in various ways to modernize the teaching of the subject. It marked, in fact, a wide departure from the traditional Greek geometry, after which textbooks for secondary schools had for generations been pat terned. From the start, the text met with remarkable success. The educational ideals which it embodied are now national ideals, and are summarized in the report OF the national committee OF fifteen on the teaching of geometry. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Download or read book Plane Geometry written by Matilda Auerbach and published by Forgotten Books. This book was released on 2015-06-15 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Plane Geometry: I. Abridged and Applied; II. College Preparatory In separating this text book on Plane Geometry into two parts, the Authors have followed what appears to them to be a normal and logical requirement essential to a proper presentation of the subject, and the most appropriate reference to these divisions would seem to be a designation of them as a First Study and a Second Study. In the former, the objective is to afford a general view of the subject, with emphasis on applications, the study being intended for the use of all high school pupils, and the material is so presented as to make it available also for use in junior high schools. The Second Study is devoted to a more intensive treatment of Plane Geometry, with special emphasis on theoretical work, and Is addressed particularly to Regents' and college entrance requirements. In the entire text the inductive method is followed as far as practicable, and simplicity is gained rather by the means of scientific accuracy than at its expense. In view of the fact that the purpose and method of the two parts of the book differ somewhat, a separate consideration of each of these divisions seems desirable. Part I The Authors feel confident that the First Study will serve a fourfold purpose. First: That it will contribute to a solution of the question as to how much mathematics shall be required of high school pupils who do not intend to enter college, and with this objective, an effort has been made to plan a course adapted to the needs and interests of pupils meeting minimum requirements in mathematics. The Authors believe that it has been customary in many schools to meet this situation by a study of only a portion - three or four books of the geometry in the required course, thus giving students merely an intensive knowledge of a part of the subject, instead of a broadly comprehensive view. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Download or read book The Teaching of Mathematics in Secondary Schools written by Arthur Schultze and published by . This book was released on 1912 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
