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 viii
... Similitude , Examples , 49 50 51 53 26 . SECTION IV . MISCELLANEOUS PROPOSITIONS . 59 CHAPTER III . RECENT GEOMETRY . SECTION I. THE BROCARD POINTS AND CIRCLE OF A TRIANGLE . 27. Brocard Points ( and N ' ) , 28. Brocard Angle ( w ) ...
... Similitude , Examples , 49 50 51 53 26 . SECTION IV . MISCELLANEOUS PROPOSITIONS . 59 CHAPTER III . RECENT GEOMETRY . SECTION I. THE BROCARD POINTS AND CIRCLE OF A TRIANGLE . 27. Brocard Points ( and N ' ) , 28. Brocard Angle ( w ) ...
Σελίδα xii
... Similitude , 91. Theorems . 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 ...
... Similitude , 91. Theorems . 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 ...
Σελίδα xiii
... Similitude , • 98. Double Points of Similar Polygons , 99. Further Properties , Instantaneous Centre , SECTION II . • PAGE • 204 205 205 • 206 THREE SIMILAR FIGURES . 100. Triangle of Similitude , . • Circle of Similitude , Invariable ...
... Similitude , • 98. Double Points of Similar Polygons , 99. Further Properties , Instantaneous Centre , SECTION II . • PAGE • 204 205 205 • 206 THREE SIMILAR FIGURES . 100. Triangle of Similitude , . • Circle of Similitude , Invariable ...
Σελίδα 42
... Similitude and the point O the Centre of Similitude . Thus since O is a point invariably connected with a variable inscribed triangle PQR of given species , the ortho - centre , circum - centre , ex - 42 MAXIMUM AND MINIMUM . Triplicate ...
... Similitude and the point O the Centre of Similitude . Thus since O is a point invariably connected with a variable inscribed triangle PQR of given species , the ortho - centre , circum - centre , ex - 42 MAXIMUM AND MINIMUM . Triplicate ...
Σελίδα 49
... a circle passing through a fixed point has been termed by Steiner the Power of the Point with respect to the circle . D R being each 0 ° and Q = 180 ° MAXIMUM AND MINIMUM . 49 Theorem, Examples, Theorem Centre of Similitude, Examples,
... a circle passing through a fixed point has been termed by Steiner the Power of the Point with respect to the circle . D R being each 0 ° and Q = 180 ° MAXIMUM AND MINIMUM . 49 Theorem, Examples, Theorem Centre of Similitude, Examples,
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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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