Elementary Synthetic Geometry of the Point, Line and Circle in the PlaneMacmillan, 1889 - 294 sider 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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... right bisector of that segment . SECTION I. THE LINE AND POINT . 9. Space may be defined to be that which admits of length or distance in every direction ; so that length and direction are fundamental ideas in studying the geometric ...
... right angles ( 40 ° , Def . 2 ) . Therefore BOD is not a right angle , and OD is not AB . But OD is any line other than OC . Therefore OC is the only perpendicular . q.e.d. ... bisector of AOC is the internal bisector 20 SYNTHETIC GEOMETRY .
... bisectors of an angle are perpendicular to one another . EF and GH are bisectors of the LAOC ; then EF is 1 GH . LEOC = LAOC , Proof . OE is a bisector ; and LCOG COB , OG is a bisector ; adding , LEOG = AOB . But LAOB is a straight angle ...
... right bisector of a segment is equidistant from the end - points of the segment . AB is a line - segment , and P is any point on its right bisector PC . Then PA = PB . Proof . - In the As APC and BPC , AC = CB , ( 42 ° , Def . ) LACP ...
... right bisector of that segment . ( Converse of 53 ° . ) PA PB . Then P is on the right bisector of AB . Proof . If P is not on the right bisector of AB , let the right bisector cut AP in Q. Then but or which is not true . QA = QB , PA ...
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Elementary Synthetic Geometry of the Point, Line and Circle in the Plane Nathan Fellowes Dupuis Uten tilgangsbegrensning - 1894 |
Elementary Synthetic Geometry of the Point, Line and Circle in the Plane Nathan Fellowes Dupuis Uten tilgangsbegrensning - 1894 |
Elementary Synthetic Geometry of the Point, Line and Circle in the Plane Nathan Fellowes Dupuis Uten tilgangsbegrensning - 1896 |
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