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
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Página vi
... corresponding properties of the Conic are ascertained . This method and that of Inversion are pursued as far as is admissible within the scope and limits of an elementary treatise on Geometry . In the preparation of the book , I ...
... corresponding properties of the Conic are ascertained . This method and that of Inversion are pursued as far as is admissible within the scope and limits of an elementary treatise on Geometry . In the preparation of the book , I ...
Página xv
... 142. Third Method of describing Homographic Systems , 277 Corollaries , 278 • • 143. General Relation connecting Corresponding Points , 280 Examples , . 281 ARTICLE CHAPTER XIII . INVOLUTION . 144. Equations of Involution CONTENTS . XV.
... 142. Third Method of describing Homographic Systems , 277 Corollaries , 278 • • 143. General Relation connecting Corresponding Points , 280 Examples , . 281 ARTICLE CHAPTER XIII . INVOLUTION . 144. Equations of Involution CONTENTS . XV.
Página xvi
... Corresponding Property of Directive Centre , 146. Particular Case of an Involution , 147. Fundamental Theorem , . Examples , . 148 . DESARGUES ' THEOREM . Corollaries , Examples ,. PAGN 282 283 283 • 284 285 286 287 · 291 CHAPTER XIV ...
... Corresponding Property of Directive Centre , 146. Particular Case of an Involution , 147. Fundamental Theorem , . Examples , . 148 . DESARGUES ' THEOREM . Corollaries , Examples ,. PAGN 282 283 283 • 284 285 286 287 · 291 CHAPTER XIV ...
Página 11
... corresponding ex - circle , the envelope of the circum - circle is a circle . [ By Ex . 3. ] 7. We shall conclude the present chapter with the following useful property , of the common tangents to four circles which touch a fifth , due ...
... corresponding ex - circle , the envelope of the circum - circle is a circle . [ By Ex . 3. ] 7. We shall conclude the present chapter with the following useful property , of the common tangents to four circles which touch a fifth , due ...
Página 12
... corresponding to the pairs of circles whose contacts are alternate . Thus in the figure , O1 , r1 and Оg , r have alternate contacts with the given circle , therefore the term 31.24 is negative , and taking the absolute values only the ...
... corresponding to the pairs of circles whose contacts are alternate . Thus in the figure , O1 , r1 and Оg , r have alternate contacts with the given circle , therefore the term 31.24 is negative , and taking the absolute values only the ...
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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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