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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Αποτελέσματα 1 - 5 από τα 47.
Σελίδα xi
... Radius of Polar Circle . Orthocentric System of Points , Examples . Polar Centre , SECTION II . 79 . SALMON'S THEOREM . Corollaries , . Examples , Tangential Equations of In- and Circum - Circles , SECTION III . RECIPROCATION . 80 ...
... Radius of Polar Circle . Orthocentric System of Points , Examples . Polar Centre , SECTION II . 79 . SALMON'S THEOREM . Corollaries , . Examples , Tangential Equations of In- and Circum - Circles , SECTION III . RECIPROCATION . 80 ...
Σελίδα xii
... radius of a Coaxal System , • 87. Limiting Points . Extreme Cases , . 88. Theorems . Corollaries , Examples , M'Cay's proof of Feuerbach's Theorem , Examples , • Poncelet's Theorem , 89. Theorem , Corollaries , Centres and Circle of ...
... radius of a Coaxal System , • 87. Limiting Points . Extreme Cases , . 88. Theorems . Corollaries , Examples , M'Cay's proof of Feuerbach's Theorem , Examples , • Poncelet's Theorem , 89. Theorem , Corollaries , Centres and Circle of ...
Σελίδα 2
... 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 therefore sin AOC = -sin COA . 3. Let 0. ABCD denote a system of lines concurrent at 0 ; A , B ...
... 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 therefore sin AOC = -sin COA . 3. Let 0. ABCD denote a system of lines concurrent at 0 ; A , B ...
Σελίδα 8
... radius of the circle increases the curvature diminishes , and the point X obviously approaches the tangent . Hence X may be made to move as near as we please to the tangent by continually increasing the value of the radius of the circle ...
... radius of the circle increases the curvature diminishes , and the point X obviously approaches the tangent . Hence X may be made to move as near as we please to the tangent by continually increasing the value of the radius of the circle ...
Σελίδα 10
... radius = p . ] 3. To find the radius ( p ) of a circle which touches the sides AC and BC of a triangle and the circum - circle ABC . M A B N ' [ Let I denote the in- and O the circum - centre of the triangle ; M the centre of the circle ...
... radius = p . ] 3. To find the radius ( p ) of a circle which touches the sides AC and BC of a triangle and the circum - circle ABC . M A B N ' [ Let I denote the in- and O the circum - centre of the triangle ; M the centre of the circle ...
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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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