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 iv
... Constants in its Equation be connected by a Linear Relation . Loci solved by Polar Coordinates CHAPTER IV . THE RIGHT LINE . - ABRIDGED NOTATION . Meaning of Constant & in Equation a = kẞ Bisectors of Angles , Bisectors of Sides , & c ...
... Constants in its Equation be connected by a Linear Relation . Loci solved by Polar Coordinates CHAPTER IV . THE RIGHT LINE . - ABRIDGED NOTATION . Meaning of Constant & in Equation a = kẞ Bisectors of Angles , Bisectors of Sides , & c ...
Stranica vi
... constant Angles Equation of Circle cutting three at right Angles ( see pp . 130 , 361 ) Common Tangent to two Circles Centres of Similitude Axis of Similitude • PAGB • 98 99 99 100 101 102 • 102 103 105 • 103 Locus of centre of Circle ...
... constant Angles Equation of Circle cutting three at right Angles ( see pp . 130 , 361 ) Common Tangent to two Circles Centres of Similitude Axis of Similitude • PAGB • 98 99 99 100 101 102 • 102 103 105 • 103 Locus of centre of Circle ...
Stranica vii
... constant 159 • Sum of Squares of conjugate Semi - diameters is constant 159 Polar Equation of Ellipse , centre being Pole 160 • Figure of Ellipse investigated 161 Geometrical construction for the Axes ( see also p . 173 ) 161 ...
... constant 159 • Sum of Squares of conjugate Semi - diameters is constant 159 Polar Equation of Ellipse , centre being Pole 160 • Figure of Ellipse investigated 161 Geometrical construction for the Axes ( see also p . 173 ) 161 ...
Stranica viii
... constant 177 • Property of Focus and Directrix 179 Rectangle under Focal Perpendiculars on Tangent is constant 180 · Focal Radii equally inclined to Tangent 180 Confocal Conics cut at Right Angles 181 Tangents at any Point equally ...
... constant 177 • Property of Focus and Directrix 179 Rectangle under Focal Perpendiculars on Tangent is constant 180 · Focal Radii equally inclined to Tangent 180 Confocal Conics cut at Right Angles 181 Tangents at any Point equally ...
Stranica xi
... constant 263 Malfatti's problem 262 262 263 Tangent and Polar of a Point with regard to a Conic given by the general Equation 265 • · DISCRIMINANTS defined ; discriminant of a Conic found ( see also pp . 72 , 149 , 153 , 155 ) 266 ...
... constant 263 Malfatti's problem 262 262 263 Tangent and Polar of a Point with regard to a Conic given by the general Equation 265 • · DISCRIMINANTS defined ; discriminant of a Conic found ( see also pp . 72 , 149 , 153 , 155 ) 266 ...
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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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