A Treatise on the Geometry of the Circle and Some Extensions to Conic Sections by the Method of Reciprocation: With Numerous ExamplesMacmillan, 1891 - 299 σελίδες |
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Σελίδα ix
... CIRCLES . PARTICULAR CASES . • · 39. Cosine Circle , 40. Hain's Property of the Symmedian Point , 42. Triplicate Ratio ( " T. R. " ) Circle , 45. Taylor's Circle , • 48. Common Orthogonal Circle of the three ex - Circles of a Triangle ...
... CIRCLES . PARTICULAR CASES . • · 39. Cosine Circle , 40. Hain's Property of the Symmedian Point , 42. Triplicate Ratio ( " T. R. " ) Circle , 45. Taylor's Circle , • 48. Common Orthogonal Circle of the three ex - Circles of a Triangle ...
Σελίδα xi
... Circle of Apollonius , . PAGE 139 • 139 140 140 143 CHAPTER VII . POLES AND POLARS WITH RESPECT TO A CIRCLE . SECTION I. CONJUGATE POINTS . POLAR CIRCLE . 73. Definitions . Elementary Properties of Conjugate Points , 74. Theorem ...
... Circle of Apollonius , . PAGE 139 • 139 140 140 143 CHAPTER VII . POLES AND POLARS WITH RESPECT TO A CIRCLE . SECTION I. CONJUGATE POINTS . POLAR CIRCLE . 73. Definitions . Elementary Properties of Conjugate Points , 74. Theorem ...
Σελίδα xii
... Circle of Similitude , 91. Theorems . Diagonal Line of a Quadrilateral , Examples , SECTION II . ADDITIONAL CRITERIA OF COAXAL CIRCLES . 0 92. First Criterion . Corollaries , Examples ,. 93. Second Criterion . Corollaries , Examples ...
... Circle of Similitude , 91. Theorems . Diagonal Line of a Quadrilateral , Examples , SECTION II . ADDITIONAL CRITERIA OF COAXAL CIRCLES . 0 92. First Criterion . Corollaries , Examples ,. 93. Second Criterion . Corollaries , Examples ...
Σελίδα xiii
... Circle of Similitude , Invariable Points . Invariable Triangle , 208 101 , 102. Theorems , 103. Adjoint Points , Director Point , 207 209 209 104. Theorems by Neuberg , . 210 105. Particular Cases , 210 · 106 . M'CAY'S CIRCLES . 211 107 ...
... Circle of Similitude , Invariable Points . Invariable Triangle , 208 101 , 102. Theorems , 103. Adjoint Points , Director Point , 207 209 209 104. Theorems by Neuberg , . 210 105. Particular Cases , 210 · 106 . M'CAY'S CIRCLES . 211 107 ...
Σελίδα 7
... circles touch Internally this angle is 0 ° , if Externally 180 ° . They are said to intersect Orthogonally when the angie is 90 ° . The Angle made by a line and circle is that between the line and the tangent to the circle at its ...
... circles touch Internally this angle is 0 ° , if Externally 180 ° . They are said to intersect Orthogonally when the angie is 90 ° . The Angle made by a line and circle is that between the line and the tangent to the circle at its ...
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Άλλες εκδόσεις - Προβολή όλων
A Treatise on the Geometry of the Circle: And Some Extensions to Conic ... William J. M'Clelland Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
A Treatise on the Geometry of the Circle and Some Extensions to Conic ... William J. M'Clelland Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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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