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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... chord in a circle . 3. Parallel lines never meet . 4. Every point equidistant from the end - points of a line- segment is on the right bisector of that segment . SECTION I. THE LINE AND POINT . 9. Space may be defined to be that which ...
... chord . ( 21 ° ) The term chord whenever involv- A B D M ing the idea of length means the segment having its end- points on the circle . But sometimes , when length is not involved , it is used to denote the whole secant of which it ...
... chord is perpendicular to the chord . Cor . 5. From Cor . 4 by the Rule of Identity , A centre line which is perpendicular to a chord bisects the chord . .. the right bisector of a chord , the centre - line bisecting the chord , and the ...
... chords are equally distant from the centre ; and , conversely , chords equally dis- tant from the centre are equal . If ABCD and OE and OF are the per- pendiculars from the centre upon these chords , then OE = OF ; and conversely , if ...
... chords A B E H P make equal angles with the centre - line through their point of intersection . AB CD , and PO is a centre - line through the point of intersection of AB and CD . Then LAPO = 2CPO . Proof . Let OE and OF be to AB and CD ...
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