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 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 .
Σελίδα xii
... Diagonal Line of a 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 ...
... Diagonal Line of a 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 ...
Σελίδα 20
... diagonals & and 8 ' and a pair of opposite sides BC and AD , its area is a maximum when BC is parallel to AD . [ Take any position of the quadrilateral and through C draw CE parallel and equal to 8. Join BE and AE . The triangles BDE ...
... diagonals & and 8 ' and a pair of opposite sides BC and AD , its area is a maximum when BC is parallel to AD . [ Take any position of the quadrilateral and through C draw CE parallel and equal to 8. Join BE and AE . The triangles BDE ...
Σελίδα 21
... diagonals of a quadrilateral are 9 and 10 feet and two opposite sides 5 and 3 feet ; find when its area is a maximum . 10. Theorem . Having given the base AB of a triangle and the locus of the vertex a line L meeting the base pro- duced ...
... diagonals of a quadrilateral are 9 and 10 feet and two opposite sides 5 and 3 feet ; find when its area is a maximum . 10. Theorem . Having given the base AB of a triangle and the locus of the vertex a line L meeting the base pro- duced ...
Σελίδα 22
... diagonals of a cyclic quadrilateral , perpendiculars are drawn to the sides and their feet P , Q , R , S joined , the quadrilateral PQRS is of minimum perimeter . 4a . If points P ' , Q , R ' , S ' be taken on the sides of the given ...
... diagonals of a cyclic quadrilateral , perpendiculars are drawn to the sides and their feet P , Q , R , S joined , the quadrilateral PQRS is of minimum perimeter . 4a . If points P ' , Q , R ' , S ' be taken on the sides of the given ...
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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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