Plane Geometry Developed By The Syllabus Method

Plane Geometry Developed by the Syllabus Method

Excerpt from Plane Geometry Developed by the Syllabus Method The belief that the proofs of Geometry should be, as far as possible, worked out by the pupils, either in class discussions or individually, is becoming more widespread every year. The day of memorizing proofs will soon be past, and the most efficient method for mental training along logical lines will be the one generally adopted. This syllabus is written with the hope of encouraging teachers to undertake Geometry by the "no text" method. The author believes very decidedly that this method gives a maximum of mental training with' a minimum waste of energy. The list of theorems is based on the latest reports of the Mathematical Associations, and, while much shorter than that in many of the text-books, it will be found sufficient to prepare the pupils for any of the colleges. It contains all the theorems of the "New England List" with a few additions that simplify proofs. The order is the development of ten years' class use, and will be found different from that of any text. Whenever a theorem has seemed to be simplified, either in. content or in proof, by making a change in its place in the order of theorems, that change has been tried in class, and has been made permanent if it proved of advantage. Any teacher using this book should feel equally free to make changes in the order if he is convinced that there is a decided advantage in the change. 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.

Plane Geometry Developed by the Syllabus Method

Plane Geometry Developed by the Syllabus Method (Classic Reprint)

Excerpt from Plane Geometry Developed by the Syllabus Method Altitude Alt. 81, 245 Ambiguous Case 130 Analysis Anal. 92, 94 Angle (sect. IV) A 44, 45 of polygon 47 Antecedent 258 Apothem Ap., 313 Approach (as a limit) 318 Arc A 161 Area 69, 160, 236, 245 Arm 44 Axiom Ax. 14, 23, 27, 38 - 42. 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.