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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... inverse figures , of pole and polar , of harmonic division , etc. , as applied to the line and circle ; and it is believed that a student who becomes acquainted with these geometric extensions in this their simpler form will be greatly ...
... Inverse Figures . SECTION V. - Pole and Polar . SECTION VI . - The Radical Axis . SEC- TION VII . - Centres and Axes of Perspective or Similitude , PART V. SECTION II.- SECTION 1. - Anharmonic Division . Harmonic Ratio . SECTION III ...
... inverse points with respect to the circle . Ex . 2. Let PQ be a common direct tangent to the circles having O and O ' as centres . Let OP and O'Q be radii to the points of contact , and let QR be || to 00 ' . Denote A the radii by r and ...
... INVERSE FIGURES . 256 ° . Def . - Two points so situated upon a centre - line of a circle that the radius is a geometric mean ( 169 ° , Def . ) between their distances from the centre are called inverse points with respect to the circle ...
... inverse point . and a point within it to find the inverse point . points to find any to which they shall be is to have a given radius . is to have a given centre on the line of the 258 ° . Theorem . - A O which passes through a pair of ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
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