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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... tangents at the point of intersection . Def . 2. When two circles intersect at right angles they are said to cut each other orthogonally . The same term is conveniently applied to the intersection of 70 SYNTHETIC GEOMETRY .
... orthogonally by any circle having its centre at a point without S and its radius the tangent from the point to the circle S. 116 ° . The following examples furnish theorems of some importance . Ex . 1. Three tangents touch the circle S ...
... orthogonal projection , or simply the projec- tion , of the point upon the line . 3. Length being considered , the join of the projection of two points is the projection of the join of the points . P Thus if L be a given line and P , Q ...
... orthogonal to that of the line . Hence any line can be brought into coincidence with any other line in its plane by rotation about the point of intersection . 223 ° . If a line rotates about a finite point while the point simultaneously ...
... ORTHOGONAL PROJECTION . 229 ° . The orthogonal projection ( 167 ° , 2 ) of PQ on L is P'Q ' , the segment intercepted between the feet of the perpendiculars PP ' and QQ ' . Now P'Q ' = PQ cos ( PQ . P'Q ' ) . P P ' L .. the projection ...
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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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