A Treatise on the Geometry of the Circle and Some Extensions to Conic Sections by the Method of Reciprocation: With Numerous Examples |
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Page v
... Maximum and Minimum . Chap . III . is devoted to the more recent develop- ments of the geometry of the triangle , initiated in 1873 by Lemoine's paper entitled " Sur quelques pro- priétés d'un point remarquable du triangle . " The study ...
... Maximum and Minimum . Chap . III . is devoted to the more recent develop- ments of the geometry of the triangle , initiated in 1873 by Lemoine's paper entitled " Sur quelques pro- priétés d'un point remarquable du triangle . " The study ...
Page vii
... MAXIMUM AND MINIMUM . 8. Explanation of Terms , Examples , · SECTION I. INTRODUCTION . 9. Theorem ,. Examples , 10. Theorem ,. Examples , 11. Problem , . 12. Theorem . Corollaries , Examples , 13. Problem , Examples , PAGE ] 3 4 5 6 7 9 ...
... MAXIMUM AND MINIMUM . 8. Explanation of Terms , Examples , · SECTION I. INTRODUCTION . 9. Theorem ,. Examples , 10. Theorem ,. Examples , 11. Problem , . 12. Theorem . Corollaries , Examples , 13. Problem , Examples , PAGE ] 3 4 5 6 7 9 ...
Page x
... Diagonal Triangle , 132 Problem , 133 • Examples . Maximum Polygon of any Order escribed to a Circle , 134 · · Note on Pascal and Brianchon Hexagons , 136 ARTICLE CHAPTER VI . INVERSE POINTS WITH RESPECT TO A X CONTENTS .
... Diagonal Triangle , 132 Problem , 133 • Examples . Maximum Polygon of any Order escribed to a Circle , 134 · · Note on Pascal and Brianchon Hexagons , 136 ARTICLE CHAPTER VI . INVERSE POINTS WITH RESPECT TO A X CONTENTS .
Page 14
... 24 + 12 ' . 34 = 0 , .. ( 3 ) showing that 2 , 3 , 4 have similar and 1 opposite contacts with a circle which touches all four . ] CHAPTER II . MAXIMUM AND MINIMUM — INTRODUCTION . 8. 14 INTRODUCTION . ARTICLE Theorem Examples,
... 24 + 12 ' . 34 = 0 , .. ( 3 ) showing that 2 , 3 , 4 have similar and 1 opposite contacts with a circle which touches all four . ] CHAPTER II . MAXIMUM AND MINIMUM — INTRODUCTION . 8. 14 INTRODUCTION . ARTICLE Theorem Examples,
Page 15
... maximum values . Again since the rectangle under the sides AC and BC is equal to the rectangle under the diameter of ... maximum or minimum . And if N be the middle point of the arc 15 Theorem, CHAPTER II MAXIMUM AND MINIMUM.
... maximum values . Again since the rectangle under the sides AC and BC is equal to the rectangle under the diameter of ... maximum or minimum . And if N be the middle point of the arc 15 Theorem, CHAPTER II MAXIMUM AND MINIMUM.
Contents
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Other editions - View all
A Treatise on the Geometry of the Circle: And Some Extensions to Conic ... William J. M'Clelland No preview available - 2017 |
A Treatise on the Geometry of the Circle and Some Extensions to Conic ... William J. M'Clelland No preview available - 2018 |
Common terms and phrases
ABCD bisected bisector Brocard points centre of similitude centres of perspective circum-centre circum-circle coaxal system coincide common tangents concurrent concurrent lines conic constant corresponding cyclic polygon cyclic quadrilateral denote diagonals diameter distances equal equation equianharmonic ex-circles fixed point given circles hence hexagon in-circle infinity inscribed inverse points Isogonal Conjugates isosceles limiting points line at infinity lines joining locus maximum mean centre median median triangle meet middle point minimum multiples opposite sides orthocentre orthogonally pair of inverse parallel pedal triangle perpendiculars point of intersection points of contact polar polygon prove r₁ radical axis radius reciprocal rectangle right angles segments sides of ABC similar triangles Similarly Simson lines species squares subtend symmedian point system of points tangents Theorem transversal triangle ABC triangle PQR vertex vertical angle
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