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Purchase of this book includes free trial access to www.million-books.com where you can read more than a million books for free.This is an OCR edition with typos.Excerpt from book:BOOK IV.DEFINITIONS.1. A RECTiLnfEAL figure is said to be inscribed in another rectilineal figure, when all the angles of the inscribed figure are on the sides of tlio figure in which it is inscribed, each on each.2. In like manner, a figure is said to be described about another figure, when all the sides of the circumscribed figure pass through the angular points of the figure about which it is described, each through each.3. A rectilineal figure is said tobe inscribed in a circle, when all the f angles of the inscribed figure are on the circumference of the circle.4. A rectilineal figure is said to be described about a circle, when each side of the circumscribed figure touches the circumference of the circle.5. In like manner, a circle is said to be inscribed in a rectilineal figure, when the circumference of the circle touches each side of the figure.6. A circle is said to be described about a rectilineal figure, when the circumference of the circle passes through all the angular points of the figure about which it is described.7. A straight line is said to be placed in a circle, when the extremities of it aro in the circumference of the circle.PROPOSITION 1. PROBLEM.In a given circle, to place a straight line, equal to a given straight line, which is not greater than the diameter of the circle.Let ABC be the given circle, and D the given straight line, not greater than the diameter of the circle: it is required to place in the circle ABC, a straight line equal to2.Draw BC, a diameter of the circle ABC. Then, if BC is equal to D, the thing required is done; for in the circle ABC, a straight line is placed equal to D.But, if it is not, BC is greaterthan D. [Hypothesis.Make CE equal to D, [I. 3.and from the centr... ... Read more

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PREFACE. NINE ycal'S have elapsed since the manuscript of the earlier part of this History was placed in my hands; seven years since the first volume was published}. Some words of apology are needful for this delay. Interest in my subject and a desire to complete without breach of continuity a work which I had commenced led me to persist in the task of editing even after I had recognised how little prompt execution of that t.ask was compatible with the large demands which the work of a London teacher makes upon limited physical strength. Rapid an_d efficient fulfilment needed the single-hearted devotion of one to whom this History would have been the first and not a secondary duty. To complete the work, as I could have wished it completed, would have needed the undivided energies, the fresh and undisturbed intellectual power of several years' labour. As it is the Editor has failed to fulfil the promise made on the title-page and bring the History down" to the present

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CONTENTS; PART I; CHAPTER X; SAI~T-VENANT, 1850-1886; rAGES; SECTIO~ I Memoir on Torsion 1--51; SECTIO~ II ~Iomoirs of 1854~1864, Flexure, Distribution of; Elasticity, etc 51-105; SE ... Read more

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This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

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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! ... Read more

Product Description
This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

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Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork. ... Read more

Product Description
This scarce antiquarian book is a selection from Kessinger Publishings 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 worlds literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone! ... Read more

Product Description
This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

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Purchase of this book includes free trial access to www.million-books.com where you can read more than a million books for free.This is an OCR edition with typos.Excerpt from book:always a tendency to give advice which they do not follow, I should say read systematically and accurately. This is so exceedingly wise an epistle that it would be a pity it should be lost, and yet now that I have written it I begin to wonder where it will find you. I wish you would find time to write again, which you may do as you cannot by any chance be so busy as I am or ought to be, for behold the end of my undergraduatcship is at hand. You will hear in a few weeks the event of all things. Do not be too much surprised if a friend of yours should be four or five places lower than you might wish to see him.Dear M0 yours truly, W. Whewell.Quay, Aug. 10, 1816.Dear Morland,It is a longer time than usual since we have addressed one another; and now that I am domesticated in this out of the way place you will scarcely know where to direct your imagination if in any idle mood it should wander towards me, unless I give you indications of my existence. Upon looking back at the time which has passed since I saw you,, it seems perhaps longer than it might otherwise do, from the changes that have taken place in it. We naturally conclude that an event which has changed the colour of our existence has occupied a time proportional to its importance; and however sudden the blow may be it seems as if the parts of life before and after it were separated by a wide interval. I have been called to Lancaster since I saw you, and without the pleasure, as it would under any other circumstances have been, of meeting you there. You were snatching, I suppose, a draught of your native air in the short pause which the bustle and hurry of life now and then allows you. I was obliged to proceed immediately to commence my summer operations here. I am here as idle as a man well may be who is com... ... Read more