A Treatise on the Geometry of the Circle and Some Extensions to Conic Sections by the Method of Reciprocation: With Numerous ExamplesMacmillan, 1891 - 299 páginas |
Dentro del libro
Resultados 1-5 de 33
Página ix
... MEAN CENTRE OF A SYSTEM OF POINTS . 50. Theorem ,. 51. Theorem ,. Examples , 52. Theorem . Examples , Isogonal and Isotomic Conjugates , 53. Method of finding the Mean Centre , Corollaries , • Examples , Weill's Theorem , 54 , 55 ...
... MEAN CENTRE OF A SYSTEM OF POINTS . 50. Theorem ,. 51. Theorem ,. Examples , 52. Theorem . Examples , Isogonal and Isotomic Conjugates , 53. Method of finding the Mean Centre , Corollaries , • Examples , Weill's Theorem , 54 , 55 ...
Página 53
... centre of similitude of AC and BC ; similarly for each of the remaining pairs of sides . EXAMPLES . 1. Draw a line L dividing three linear segments A142 , B1B2 and C1C2 in the same ratio . ( Dublin ... Mean Centre, Corollaries, Examples,
... centre of similitude of AC and BC ; similarly for each of the remaining pairs of sides . EXAMPLES . 1. Draw a line L dividing three linear segments A142 , B1B2 and C1C2 in the same ratio . ( Dublin ... Mean Centre, Corollaries, Examples,
Página 56
... mean ratio , the greater segments being measured from the vertex . Prop . III . Through one extremity A of the ... centre C let fall CX perpendicular on AS . Join CN . By Prop . I. the parallels MQ to the tangent and NQ to PS meet on AB ...
... mean ratio , the greater segments being measured from the vertex . Prop . III . Through one extremity A of the ... centre C let fall CX perpendicular on AS . Join CN . By Prop . I. the parallels MQ to the tangent and NQ to PS meet on AB ...
Página 83
... [ For CH , and ZR are parallel , since both are at right angles to PQ ; also RH , is bisected at 01 ( Art . 47 ) , therefore , etc. , by Art . 37. ] CHAPTER IV . GENERAL THEORY OF THE MEAN CENTRE OF RECENT GEOMETRY . 83.
... [ For CH , and ZR are parallel , since both are at right angles to PQ ; also RH , is bisected at 01 ( Art . 47 ) , therefore , etc. , by Art . 37. ] CHAPTER IV . GENERAL THEORY OF THE MEAN CENTRE OF RECENT GEOMETRY . 83.
Página 84
... MEAN CENTRE OF A SYSTEM OF POINTS . 49. We now proceed to the discussion of the general linear relation connecting the distances of a system of points from a given line . Let A , B , C , D ... be the system of points , AL , BL CL ...
... MEAN CENTRE OF A SYSTEM OF POINTS . 49. We now proceed to the discussion of the general linear relation connecting the distances of a system of points from a given line . Let A , B , C , D ... be the system of points , AL , BL CL ...
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Otras ediciones - Ver todas
A Treatise on the Geometry of the Circle: And Some Extensions to Conic ... William J. M'Clelland Sin vista previa disponible - 2017 |
A Treatise on the Geometry of the Circle and Some Extensions to Conic ... William J. M'Clelland Sin vista previa disponible - 2018 |
Términos y frases comunes
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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