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Excerpt from The Theory of ProportionThis little book is the outcome of the effort annually renewed over a long period to make clear to my students the principles on which the Theory of Proportion is based, with a view to its application to the study of the Properties of Similar Figures.Its content formed recently the subject matter of a course of lectures to Teachers, delivered at University College, under an arrangement with the London County Council, and it is now being published in the hope of interesting a wider circle.At the commencement of my career as a teacher I was accustomed, in accordance with the then established practice, to take for granted the definition of proportion as given by Euclid in the Fifth Definition of the Fifth Book of his Elements* and to supply proofs of the other properties of proportion required in the Sixth Book which were valid only when the magnitudes considered were commensurable. Dissatisfied with the results of a method which could have no claim to be considered logical, after trying some other modes of exposition, I turned to the syllabus of the Fifth Book drawn up by the Association for the Improvement of Geometrical Teaching. But again I found this hard to explain, and it was evident that my students could not grasp the method as a whole, even when they were able to understand its steps singly.After prolonged study I found that, in addition to the difficulty arising out of Euclid's notation, which is a matter of form and not of substance, and the difficulty that Euclid does not sufficiently define ratio, two reasons could be assigned for the great difficulty of his argument.(1) Of the long array of definitions prefixed to the Fifth Book there are only two which effectively count.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com Economics - Wikipedia There are a variety of modern definitions of economics some reflect evolving views of the subject or different views among economists Scottish philosopher Adam The Neoclassical Theory of Distribution - cruelorg Let us assume (for the sake of argument for this is not implied) that the average product represents the actual contribution of the laborer to total output Redirect support - Home Cambridge University Press You may have arrived at this page because you followed a link to one of our old platforms that cannot be redirected Cambridge Core is the new academic platform from Putting the Service-Profit Chain to Work The service-profit chain is also defined by a special kind of leadership CEOs of exemplary service companies emphasize the importance of each employee and customer ActionBioscience - promoting bioscience literacy December 2004 What is natural selection and how is it central to the theory of evolution? Paula Grace Designs Principles and Elements of Interior Principles and Elements of Interior Design I have written on Interior Design previously I wrote The True Art of Successful Interior Design in April of 2005 Identification and Evaluation of Children With Autism INTRODUCTION Public and physician awareness of autism has increased markedly in the new millennium because of increased media coverage and a rapidly expanding body Fractals Chaos Power Laws: Minutes from an Infinite Paradise This fascinating book explores the connections between chaos theory physics biology and mathematics Its award-winning computer graphics optical illusions and Karl Popper (Stanford Encyclopedia of Philosophy) Karl Popper is generally regarded as one of the greatest philosophers of science of the 20th century He was also a social and political philosopher of considerable Motivation - Wikipedia Extrinsic motivation refers to the performance of an activity in order to attain a desired outcome and it is the opposite of intrinsic motivation Extrinsic
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