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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... Perspective , . 65. Criterion of Perspective of Two Triangles , 66. Axis of Perspective . Homology , Stoll's Theorem , 114 117 · 120 120 121 121 123 BX . BX ' CY . CY ' 67 . AZ.AZ 1 , 123 Corollaries . 99 CX . CX ' AY . AY ' ' BZ . BZ ...
... Perspective , . 65. Criterion of Perspective of Two Triangles , 66. Axis of Perspective . Homology , Stoll's Theorem , 114 117 · 120 120 121 121 123 BX . BX ' CY . CY ' 67 . AZ.AZ 1 , 123 Corollaries . 99 CX . CX ' AY . AY ' ' BZ . BZ ...
Σελίδα 117
... perspective are named respectivelyt point de Gergonne and point de Nagel of the triangle . ] * The function AO . AO ' ΒΟ ́ ΒΟ ' is termed the Anharmonic Ratio of the points A , B , O , O ' ; and ( 3 ) may be expressed thus : - " If the ...
... perspective are named respectivelyt point de Gergonne and point de Nagel of the triangle . ] * The function AO . AO ' ΒΟ ́ ΒΟ ' is termed the Anharmonic Ratio of the points A , B , O , O ' ; and ( 3 ) may be expressed thus : - " If the ...
Σελίδα 120
... perspective when the lines joining corresponding vertices meet in a point . This point is called the Centre of Perspective of the triangles . P3 A ' B ' B Z 65. Criterion of Perspective of Triangles . Theorem . If the perpendiculars ...
... perspective when the lines joining corresponding vertices meet in a point . This point is called the Centre of Perspective of the triangles . P3 A ' B ' B Z 65. Criterion of Perspective of Triangles . Theorem . If the perpendiculars ...
Σελίδα 121
... Perspective or Homology † of the triangles . EXAMPLES . 1. Any triangle escribed to a circle is in perspective with that formed by joining the points of contact of its sides . [ The centre of perspective is the symmedian point of the in ...
... Perspective or Homology † of the triangles . EXAMPLES . 1. Any triangle escribed to a circle is in perspective with that formed by joining the points of contact of its sides . [ The centre of perspective is the symmedian point of the in ...
Σελίδα 122
... perspective XYZ , their centres of perspective when taken two and two are collinear . 2 [ For the triangles ( fig . of Ex . 3 ) BBB , and CCC , are in perspec- tive , their centre being at X ; similarly Y is the centre of perspec- tive ...
... perspective XYZ , their centres of perspective when taken two and two are collinear . 2 [ For the triangles ( fig . of Ex . 3 ) BBB , and CCC , are in perspec- tive , their centre being at X ; similarly Y is the centre of perspec- tive ...
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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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