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
... Relations . Particular Cases , 114 Examples , 117 Centre of Perspective , . 120 Examples , 65. Criterion of Perspective of Two Triangles , 66. Axis of Perspective . Homology , Stoll's Theorem , 120 121 121 • 123 67 . BX.BX ' CY.CY ' AZ ...
... Relations . Particular Cases , 114 Examples , 117 Centre of Perspective , . 120 Examples , 65. Criterion of Perspective of Two Triangles , 66. Axis of Perspective . Homology , Stoll's Theorem , 120 121 121 • 123 67 . BX.BX ' CY.CY ' AZ ...
Σελίδα xiv
... Relations between the Sides of the two , 120. Inversion of a System of Four Points . Particular Cases . 121. Relations between the sides of ABCD and A'B'C'D ' . Corollaries . Inversion of the Vertices of an Harmonic 237 237 238 ...
... Relations between the Sides of the two , 120. Inversion of a System of Four Points . Particular Cases . 121. Relations between the sides of ABCD and A'B'C'D ' . Corollaries . Inversion of the Vertices of an Harmonic 237 237 238 ...
Σελίδα xv
... Method of describing Homographic Systems , 277 Corollaries , 278 • • 143. General Relation connecting Corresponding Points , 280 Examples , . 281 ARTICLE CHAPTER XIII . INVOLUTION . 144. Equations of Involution CONTENTS . XV.
... Method of describing Homographic Systems , 277 Corollaries , 278 • • 143. General Relation connecting Corresponding Points , 280 Examples , . 281 ARTICLE CHAPTER XIII . INVOLUTION . 144. Equations of Involution CONTENTS . XV.
Σελίδα 5
... relation BC . AP + CA . BP2 + AB . CP - BC . CA.AB. A X B C [ By Euc . II . 12 , 13 , AP2 = A B2 + BP2-2AB . BP cos ... relation in Ex . 4 is equivalent to BC2 . AP2 + AB2 . CP2- AC2 . BP2 . [ This follows from Ex . 4 or is obtained ...
... relation BC . AP + CA . BP2 + AB . CP - BC . CA.AB. A X B C [ By Euc . II . 12 , 13 , AP2 = A B2 + BP2-2AB . BP cos ... relation in Ex . 4 is equivalent to BC2 . AP2 + AB2 . CP2- AC2 . BP2 . [ This follows from Ex . 4 or is obtained ...
Σελίδα 6
... relation may be written sin ẞ ' sin y sin ẞ sin y + + sin y ' sin a ' , sin a ' sin ẞ ' sin y sin a sin a sin B = 1 . 11. From the formula BC . AD + CA.BD + AB . CD = 0 , prove that if A , B , C be three collinear points and P any ...
... relation may be written sin ẞ ' sin y sin ẞ sin y + + sin y ' sin a ' , sin a ' sin ẞ ' sin y sin a sin a sin B = 1 . 11. From the formula BC . AD + CA.BD + AB . CD = 0 , prove that if A , B , C be three collinear points and P any ...
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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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