A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, and Company, 1879 - Broj stranica: 399 |
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Stranica v
... Distances of two Points from the centre , proportional to the distance of each from Polar of other 98 Expression of Coordinates of Point on Circle by auxiliary Angle Problems where a variable Line always touches a Circle 94 95 Examples ...
... Distances of two Points from the centre , proportional to the distance of each from Polar of other 98 Expression of Coordinates of Point on Circle by auxiliary Angle Problems where a variable Line always touches a Circle 94 95 Examples ...
Stranica vi
... Distance between two Points expressed in Trilinear Coordinates DETERMINANT NOTATION . • Determinant Expressions for ... distances of four Points in a Plane Proof of Prof. Casey's theorems . • 131 • 134 • 135 CHAPTER X. GENERAL EQUATION ...
... Distance between two Points expressed in Trilinear Coordinates DETERMINANT NOTATION . • Determinant Expressions for ... distances of four Points in a Plane Proof of Prof. Casey's theorems . • 131 • 134 • 135 CHAPTER X. GENERAL EQUATION ...
Stranica viii
... distance between their Poles 200 201 • Subnormal Constant : 202 • 204 Locus of foot of Perpendicular from Focus on Tangent Locus of intersection of Tangents which cut at right Angles ( see also pp . 285 , 352 ) 205 Angle between two ...
... distance between their Poles 200 201 • Subnormal Constant : 202 • 204 Locus of foot of Perpendicular from Focus on Tangent Locus of intersection of Tangents which cut at right Angles ( see also pp . 285 , 352 ) 205 Angle between two ...
Stranica xiii
... Distance 329 Proof that any Conic may be projected so as to become a circle , while a given Line passes to Infinity · 330 Determination of Focus of Section of a right Cone 331 • Locus of Vertices of right Cones from which a given Conic ...
... Distance 329 Proof that any Conic may be projected so as to become a circle , while a given Line passes to Infinity · 330 Determination of Focus of Section of a right Cone 331 • Locus of Vertices of right Cones from which a given Conic ...
Stranica 3
... distance between two points x'y ' , x " y " , the axes of coordinates being supposed rectangular . and By Euclid 1. 47 , hence PQ2 = PS " + SQ , but PS = PM- QM ' = y ' -y " , ☎2 = PQ2 = ( x ' — x ′′ ) 2 + ( y ' — y ′′ ) ” . - - To ...
... distance between two points x'y ' , x " y " , the axes of coordinates being supposed rectangular . and By Euclid 1. 47 , hence PQ2 = PS " + SQ , but PS = PM- QM ' = y ' -y " , ☎2 = PQ2 = ( x ' — x ′′ ) 2 + ( y ' — y ′′ ) ” . - - To ...
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Ostala izdanja - Prikaži sve
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Pregled nije dostupan - 2015 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Pregled nije dostupan - 2016 |
Uobičajeni izrazi i fraze
anharmonic ratio asymptotes ax² axes bisected by² centre chord of contact circumscribing coefficients coincide common tangents condition conic having double conic section conic touching conjugate diameters coordinates corresponding denote determine directrix double contact drawn ellipse equal find the equation find the locus fixed line fixed point foci focus four points given conic given line given point harmonic Hence hyperbola imaginary points infinite distance inscribed intercept last Article line at infinity line joining line meets meet the curve middle points mẞ origin parabola parallel Pascal's theorem perpendicular point of contact point x'y points at infinity points of intersection polar pole proved quadratic quadrilateral radical axis radius vector reciprocal rectangle represents right angles right line second degree sides square substituting tangential equation theorem trilinear coordinates values vanish vertex vertices
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