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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... Radical Axis . SEC- TION VII . - Centres and Axes of Perspective or Similitude , PART V. SECTION II.- SECTION 1. - Anharmonic Division . Harmonic Ratio . SECTION III . - Anharmonic Properties . SECTION IV . - Polar Reciprocals and ...
... radical axis of the circles , and is a line of great importance in studying the relations of two or more circles . Cor . 1. The radical axis of two circles bisects their com- mon tangents . Cor . 2. When two circles intersect , their ...
... radical axis . Cor . 4. A having its centre on the radical axis of two given Os , and cutting one of them orthogonally , cuts the other orthogonally also . A 259 ° . Let P , Q be inverse points to circle S and D any S B point on it ...
... radical axis . S ' Let I be the circle of inver- sion , and let the circle S ' be the inverse of S. The tangents TT ' and VV ' meet at O ( 260 ° , Cor . 1 ) , and T , T ' are inverse points . D , the middle point of TT ' is on the radical ...
... radical axis . The extension to cases of non - intersection follows from the law of continuity . 264 ° . Theorem . - The angle of intersection of two lines or circles is not changed in magnitude by inversion . Let O be the centre of in ...
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