A Treatise on the Geometry of the Circle and Some Extensions to Conic Sections by the Method of Reciprocation: With Numerous ExamplesMacmillan, 1891 - 299 páginas |
Dentro del libro
Resultados 1-5 de 76
Página x
... Quadrilateral , 127 Examples , 128 Tarry's Point , 131 68. Harmonic Properties of the Quadrilateral : Its Diagonal Triangle , 132 Problem , 133 • Examples . Maximum Polygon of any Order escribed to a Circle , 134 · · Note on Pascal and ...
... Quadrilateral , 127 Examples , 128 Tarry's Point , 131 68. Harmonic Properties of the Quadrilateral : Its Diagonal Triangle , 132 Problem , 133 • Examples . Maximum Polygon of any Order escribed to a Circle , 134 · · Note on Pascal and ...
Página xi
... Quadrilateral , 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 ...
... Quadrilateral , 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 ...
Página xii
... Quadrilateral , Examples , SECTION II . ADDITIONAL CRITERIA OF COAXAL CIRCLES . 0 92. First Criterion . Corollaries , Examples ,. 93. Second Criterion . Corollaries , Examples , . PAGE 173 173 174 174 175 175 175 176 178 183 184 186 187 ...
... Quadrilateral , Examples , SECTION II . ADDITIONAL CRITERIA OF COAXAL CIRCLES . 0 92. First Criterion . Corollaries , Examples ,. 93. Second Criterion . Corollaries , Examples , . PAGE 173 173 174 174 175 175 175 176 178 183 184 186 187 ...
Página xiv
... Quadrilateral . Examples , 122. Theorem , Examples , . SECTION II . 239 240 241 242 Origin , Examples , ANGLES OF INTERSECTION OF FIGURES AND OF THEIR INVERSES . 123. General Relations between a Circle and its Inverse from any 124 ...
... Quadrilateral . Examples , 122. Theorem , Examples , . SECTION II . 239 240 241 242 Origin , Examples , ANGLES OF INTERSECTION OF FIGURES AND OF THEIR INVERSES . 123. General Relations between a Circle and its Inverse from any 124 ...
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... quadrilateral whose sides are a , b , c , d , to prove that d2 = a2 + b2 + c2 -- 2bc cos bc - 2ca cos ca. where be denotes the angle between the sides b and c . - a b C Ъ d [ For completing the parallelogram whose sides are b and c and ...
... quadrilateral whose sides are a , b , c , d , to prove that d2 = a2 + b2 + c2 -- 2bc cos bc - 2ca cos ca. where be denotes the angle between the sides b and c . - a b C Ъ d [ For completing the parallelogram whose sides are b and c and ...
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Otras ediciones - Ver todas
A Treatise on the Geometry of the Circle: And Some Extensions to Conic ... William J. M'Clelland Sin vista previa disponible - 2017 |
A Treatise on the Geometry of the Circle and Some Extensions to Conic ... William J. M'Clelland Sin vista previa disponible - 2018 |
Términos y frases comunes
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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