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
... Vertices of a given one , 236 119. Theorem . Corollaries , · Note , . · 118. 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 ...
... Vertices of a given one , 236 119. Theorem . Corollaries , · Note , . · 118. 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 ...
Σελίδα 1
... Vertex of the system , and the lines are a Pencil of Rays . Collinear points are those which lie on a right line ... vertices of a triangle are A , B , C , and the opposite sides a , b , c . By AB is meant the distance from A to B ...
... Vertex of the system , and the lines are a Pencil of Rays . Collinear points are those which lie on a right line ... vertices of a triangle are A , B , C , and the opposite sides a , b , c . By AB is meant the distance from A to B ...
Σελίδα 2
... 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 , C , D , the points ...
... 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 , C , D , the points ...
Σελίδα 5
... vertex , 7 and m being given quantities . 5. If APC is a right angle the relation in Ex . 4 is equivalent to BC2 . AP2 + AB2 . CP2- AC2 . BP2 . [ This follows from Ex . 4 or is obtained directly thus ; let fall perpendiculars BX and BY ...
... vertex , 7 and m being given quantities . 5. If APC is a right angle the relation in Ex . 4 is equivalent to BC2 . AP2 + AB2 . CP2- AC2 . BP2 . [ This follows from Ex . 4 or is obtained directly thus ; let fall perpendiculars BX and BY ...
Σελίδα 6
... vertex , having given the base c and cot A + m cot B - const . 4. Limiting Cases . 0 and ∞ . Def . The Angle of intersection of two circles is that between the tangents drawn to them at either point of intersection ; it is therefore ...
... vertex , having given the base c and cot A + m cot B - const . 4. Limiting Cases . 0 and ∞ . Def . The Angle of intersection of two circles is that between the tangents drawn to them at either point of intersection ; it is therefore ...
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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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