Elementary Synthetic Geometry of the Point, Line and Circle in the PlaneMacmillan, 1889 - 294 σελίδες Elementary Synthetic Geometry of the Point, Line and Circle in the Plane by Nathan Fellowes Dupuis, first published in 1889, is a rare manuscript, the original residing in one of the great libraries of the world. This book is a reproduction of that original, which has been scanned and cleaned by state-of-the-art publishing tools for better readability and enhanced appreciation. Restoration Editors' mission is to bring long out of print manuscripts back to life. Some smudges, annotations or unclear text may still exist, due to permanent damage to the original work. We believe the literary significance of the text justifies offering this reproduction, allowing a new generation to appreciate it. |
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... ratio I have ventured , when comparing two finite lines , to introduce Hamilton's word tensor as seeming to me to express most clearly what is meant . After treating of proportion I have not hesitated to employ those special ratios ...
... . Harmonic Ratio . SECTION III . - Anharmonic Properties . SECTION IV . - Polar Reciprocals and Reciprocation . SECTION V. - Homography and Involution , 178 252 ELEMENTARY SYNTHETIC GEOMETRY . PART I. e , the 1th X CONTENTS .
... ratio , or in median section . Ex . 2. To describe a square when the sum of its side and diagonal is given . Analysis . If AB is the side of a square , AB 2 is its diagonal , ( 180 ° ) ... AB ( 1 + / 2 ) is a CONSTRUCTIVE GEOMETRY . 141.
... ratio of m to n , and in Geometry it is called the ratio of AB to CD . Now n has to m the same ratio as unity has to the fraction But if CD be taken as u.l. its measure becomes unity , m η while that of AB becomes m n Therefore the ...
... ratio of the segments , but it introduces a different idea . Hence in the case of com- mensurable segments the tensor is arithmetically expressible , but in the case of incommensurable ones the tensor may be symbolically denoted , but ...
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