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 xiv
... 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 • Quadrilateral . Examples , 122. Theorem , Examples , . SECTION II . 239 240 ...
... 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 • Quadrilateral . Examples , 122. Theorem , Examples , . SECTION II . 239 240 ...
Σελίδα xv
... Four Points , 261 133. Expressions for all the Ratios in terms of any one of them , 262 Examples , 263 SECTION II . ANHARMONIC SECTION OF AN ANGLE . 134. Anharmonic Equivalents , 265 • 135. Properties of Transversals to a Pencil , 136 ...
... Four Points , 261 133. Expressions for all the Ratios in terms of any one of them , 262 Examples , 263 SECTION II . ANHARMONIC SECTION OF AN ANGLE . 134. Anharmonic Equivalents , 265 • 135. Properties of Transversals to a Pencil , 136 ...
Σελίδα 1
... four points A , B , C , D , be taken in alphabetical order on a circle , we have by Ptolemy's Theorem 12 BC.AD + AB.CD = BD . AC – – CA . BD , A = - the six linear segments being measured from left to right CHAPTER I INTRODUCTION ...
... four points A , B , C , D , be taken in alphabetical order on a circle , we have by Ptolemy's Theorem 12 BC.AD + AB.CD = BD . AC – – CA . BD , A = - the six linear segments being measured from left to right CHAPTER I INTRODUCTION ...
Σελίδα 2
... four lines , and is deduced directly from Ptolemy's Theorem by describing a circle of any radius through its vertex . In this equation it is implied that AOC denotes the magnitude of the angle measured from A towards C , and that ...
... four lines , and is deduced directly from Ptolemy's Theorem by describing a circle of any radius through its vertex . In this equation it is implied that AOC denotes the magnitude of the angle measured from A towards C , and that ...
Σελίδα 3
... four parallels to the rays of the pencil , we in general obtain a triangle and a transversal to its sides . Moreover , if we denote the angles of the triangle by a , B , y , those made by the transversal with its sides are the opposites ...
... four parallels to the rays of the pencil , we in general obtain a triangle and a transversal to its sides . Moreover , if we denote the angles of the triangle by a , B , y , those made by the transversal with its sides are the opposites ...
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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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