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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... diameter is the longest 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 ...
... diameter . Where length is not implied , the term diameter is some- times used to denote the centre - line of which it properly forms a part . Thus M is a centre - line and CD is a diameter . 96 ° . Theorem . - Through any three points ...
... diameters . If AP = PD and CP = PB , then P is the centre . B Proof . Since P is the middle point of both AD and CB ( hyp . ) , therefore the right bisectors of AD and CB both pass through P. But these right bisectors also pass through ...
... diameter of its circumcircle . ( 88 ° , 3 , Def .; 97 ° , Def . ) Cor . 2. When P moves along the ○ the △ APC ( last figure ) has its base AC constant and its vertical angle APC constant . Therefore the locus of the vertex of a ...
... diameter are parallel . Cor . 2. The perpendicular to a tangent at the point of con- tact is a centre - line . ( Converse of the theorem . ) Cor . 3. The perpendicular to a diameter at its end - point is a tangent . D III . Theorem ...
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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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