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 1
... denote points and positions of lines , and a , b , c , lengths , e.g. , the 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 measured from A towards B , and by BA the same ...
... denote points and positions of lines , and a , b , c , lengths , e.g. , the 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 measured from A towards B , and by BA the same ...
Σελίδα 2
... 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 in which a line L meets it ; and p the distance ...
... 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 in which a line L meets it ; and p the distance ...
Σελίδα 3
... denoted by a and a ' , COA and BOD by ẞ and B ' , and AOB and COD by y and y ' . With this notation ( 3 ) is written BC ... denote the angles of the triangle by a , B , y , those made by the transversal with its sides are the opposites a ...
... denoted by a and a ' , COA and BOD by ẞ and B ' , and AOB and COD by y and y ' . With this notation ( 3 ) is written BC ... denote the angles of the triangle by a , B , y , those made by the transversal with its sides are the opposites a ...
Σελίδα 4
... denotes the angle between the sides b and c . - a b C Ъ d [ For completing the parallelogram whose sides are b and c and drawing x we have d2 = b2 + x2 + 2bx ' , where is the projection of x on the parallel b. 4 INTRODUCTION . Examples,
... denotes the angle between the sides b and c . - a b C Ъ d [ For completing the parallelogram whose sides are b and c and drawing x we have d2 = b2 + x2 + 2bx ' , where is the projection of x on the parallel b. 4 INTRODUCTION . Examples,
Σελίδα 7
... denote the length of the common chord , of the circles ( real or imaginary ) since 2r1r2 sin @ = yd , t . t ' = i . y . d . It is obvious that either the transverse common tangent to the circles or their angle of intersection is ...
... denote the length of the common chord , of the circles ( real or imaginary ) since 2r1r2 sin @ = yd , t . t ' = i . y . d . It is obvious that either the transverse common tangent to the circles or their angle of intersection is ...
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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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