A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongman, Brown, Green, and Longmans, 1855 - 324 стор. |
З цієї книги
Результати 1-5 із 98
Сторінка viii
... Points of Diagonals of a complete Quadrilateral , Investigation of Loci , PAGE . 34 35 36 38 29 , 54 36 , 54 . 34 , 54 34 , 59 39 27 39 Problems where it is proved that a Movable Line always passes through a Fixed Point , Centre of Mean ...
... Points of Diagonals of a complete Quadrilateral , Investigation of Loci , PAGE . 34 35 36 38 29 , 54 36 , 54 . 34 , 54 34 , 59 39 27 39 Problems where it is proved that a Movable Line always passes through a Fixed Point , Centre of Mean ...
Сторінка xi
... Point on Conic passes through a fixed Point on Normal , 160 Co - ordinates of intersection of two Normals ,. 161 Properties of Foci , 161 Sum or difference of Focal Radii constant , 162 Property of Focus and Directrix , 163 • Rectangle ...
... Point on Conic passes through a fixed Point on Normal , 160 Co - ordinates of intersection of two Normals ,. 161 Properties of Foci , 161 Sum or difference of Focal Radii constant , 162 Property of Focus and Directrix , 163 • Rectangle ...
Сторінка xii
... fixed Point O , then tan PFO . tan P'FO is constant ( see also p . 315 ) , 189 190 191 191 Locus of intersection of ... Point , 194 Given three Points on Equilateral Hyperbola , a fourth is given , 195 Circle circumscribing any self ...
... fixed Point O , then tan PFO . tan P'FO is constant ( see also p . 315 ) , 189 190 191 191 Locus of intersection of ... Point , 194 Given three Points on Equilateral Hyperbola , a fourth is given , 195 Circle circumscribing any self ...
Сторінка xiii
... points of a Conic having double contact with a third , its Chord of Con- tact passes through a fixed Point , · • If three Conics have each double contact with a fourth , their Chords of Intersection intersect in threes , · Brianchon's ...
... points of a Conic having double contact with a third , its Chord of Con- tact passes through a fixed Point , · • If three Conics have each double contact with a fourth , their Chords of Intersection intersect in threes , · Brianchon's ...
Сторінка xiv
... Points on a Conic , Locus of Pole of a fixed Point , or Envelope of Polar of fixed Line , Equation of Asymptotes to a Conic , 241 243 Lines joining corresponding Vertices of Conjugate Triangles meet in a Point , Hearn's Method of ...
... Points on a Conic , Locus of Pole of a fixed Point , or Envelope of Polar of fixed Line , Equation of Asymptotes to a Conic , 241 243 Lines joining corresponding Vertices of Conjugate Triangles meet in a Point , Hearn's Method of ...
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A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Повний перегляд - 1855 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Повний перегляд - 1855 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Повний перегляд - 1855 |
Загальні терміни та фрази
anharmonic ratio asymptotes Ax² axes axis bisected centre chord of contact chords of intersection circumscribing common tangents conic having double conic section conic touching conjugate diameters constant ratio corresponding Cy² directrix double contact drawn Edition ellipse envelope equal find the equation find the locus fixed line fixed point focus four points given conic given points Hence hyperbola infinite distance inscribed intercept joining the points last Article line at infinity line joining line meets meet the curve origin parabola parallel Pascal's theorem perpendicular plane point of contact point x'y points at infinity points of intersection polar polar equation pole proved quadrilateral radical axis radius vector reciprocal rectangle right angles right line second degree square substituting subtended theorem triangle vertex vertices vols
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