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 ix
... , Corollaries , • Examples , Weill's Theorem , 54 , 55. Properties of Mean Centre . Corollaries , Examples , . 84 388858 86 87 88 90 91 92 96 98 100 ARTICLE 56. Theorem . Corollaries , Examples , . RECIPROCAL CONTENTS . ix.
... , Corollaries , • Examples , Weill's Theorem , 54 , 55. Properties of Mean Centre . Corollaries , Examples , . 84 388858 86 87 88 90 91 92 96 98 100 ARTICLE 56. Theorem . Corollaries , Examples , . RECIPROCAL CONTENTS . ix.
Page x
... RECIPROCAL THEOREMS . 57. Central Axis , 58. Method of finding Central Axis , 60. Diameter of a Polygon , 61. Za . AP2 a Minimum , Examples , CHAPTER V. COLLINEAR POINTS AND CONCURRENT LINES . PAGE · 103 104 106 107 108 108 109 BX CY AZ ...
... RECIPROCAL THEOREMS . 57. Central Axis , 58. Method of finding Central Axis , 60. Diameter of a Polygon , 61. Za . AP2 a Minimum , Examples , CHAPTER V. COLLINEAR POINTS AND CONCURRENT LINES . PAGE · 103 104 106 107 108 108 109 BX CY AZ ...
Page xi
... Reciprocal Polar Triangles , 77. Self - Conjugate Triangles . Polar Circle , 78. Expressions for the Radius of Polar Circle . Orthocentric System of Points , Examples . Polar Centre , SECTION II . 79 . SALMON'S THEOREM . Corollaries ...
... Reciprocal Polar Triangles , 77. Self - Conjugate Triangles . Polar Circle , 78. Expressions for the Radius of Polar Circle . Orthocentric System of Points , Examples . Polar Centre , SECTION II . 79 . SALMON'S THEOREM . Corollaries ...
Page 3
... reciprocals on the left side of ( 3 ) are termed the Anharmonic Ratios of the four points on the line ; and those on the right the Anharmonic Ratios of the pencil O. ABCD . Their equivalence is expressed thus : -A variable line drawn ...
... reciprocals on the left side of ( 3 ) are termed the Anharmonic Ratios of the four points on the line ; and those on the right the Anharmonic Ratios of the pencil O. ABCD . Their equivalence is expressed thus : -A variable line drawn ...
Page 75
... = C'B'C " . = * See Mathesis , t . i . , p . 185 : — " Sur le centre des Médianes Antiparallèles , " Neuberg ( 1881 ) . Hence K is the negative Brocard point of A'B'C ' RECENT GEOMETRY . 75 Theorems Reciprocal Polar Triangles,
... = C'B'C " . = * See Mathesis , t . i . , p . 185 : — " Sur le centre des Médianes Antiparallèles , " Neuberg ( 1881 ) . Hence K is the negative Brocard point of A'B'C ' RECENT GEOMETRY . 75 Theorems Reciprocal Polar Triangles,
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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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