Excerpt from Elements of Geometry, Plane and Spherical Trigonometry, and Conic Sections An attempt is made in this volume, to bring the science of geometry, directly to the comprehension of the learner and to accomplish this end, it is necessary to sweep away some of the rubbish and some of the redundancies which have seemed only to obstruct our progress and becloud our vision. All attempts to prove what is perfectly obvious to every one without proof, only weakens the mind rather than strengthens it, and hence, we have discarded all such propositions as the following: "All right angles are equal." "Any two sides of a triangle are greater than the third side." "Parallel lines can never meet, however far they may be produced" and some few others of like character. In almost every treatise on Geometry, the first, or one of the first propositions for demonstration is, "That all right angles are equal" This proposition at once excites in the mind of the intelligent pupil, a mingled sensation of disappointment and indignation, disappointment, because he expected to learn new truths indignation, because he feels as if his time and common sense are trifled with. When he attempts the demonstration, he either has, or has not, a correct idea of a right angle if he has a correct idea, he cannot demonstrate, or say anything that can be called a demonstrationbecause the proposition is all embraced in the definition of a right angle. If he has not the correct idea of the term right angle, he must obtain it before he can commence any demonstration so, in either case, the proposition is worse than useless. When he comes to the proposition, that "Any two sides of a triangle, are together, greater than a third side," and is carried through a useless demonstration, he looks about in wonder and perplexity, to discover why it is that he should be dragged through formal technicalities to arrive at the perfectly axiomatic truth, that a straight line is the shortest distance between two points. 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 stateoftheart 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.
About Horatio Nelson Robinson
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Author  :  Horatio Nelson Robinson 
Publisher  :  Forgotten Books 
Data Published  :  27 September 2015 
ISBN  :  1330298675 
EAN  :  9781330298671 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  342 pages 
Age +  :  59 years 
Language  :  English 
Rating  : 
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