A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, and Company, 1879 - 399 oldal |
Részletek a könyvből
1 - 5 találat összesen 81 találatból.
iv. oldal
... 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 ...
... 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 ...
vii. oldal
... 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 Ordinates of ...
... 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 Ordinates of ...
viii. oldal
... 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 inclined ...
... 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 inclined ...
xi. oldal
... constant 263 Malfatti's problem 263 • • 265 · • DISCRIMINANTS defined ; discriminant of a Conic found ( see also pp . 72 , 149 , 153 , 155 ) 266 · Coordinates of Pole of a given Line 266 Condition that a Line should touch a Conic ( see ...
... constant 263 Malfatti's problem 263 • • 265 · • DISCRIMINANTS defined ; discriminant of a Conic found ( see also pp . 72 , 149 , 153 , 155 ) 266 · Coordinates of Pole of a given Line 266 Condition that a Line should touch a Conic ( see ...
xv. oldal
... constant Area from similar and concentric Conic . 373 Line which cuts off from a Curve constant Arc , or which is of a constant length where met by its Envelope Determination of Radii of Curvature Excess of sum of two Tangents over ...
... constant Area from similar and concentric Conic . 373 Line which cuts off from a Curve constant Arc , or which is of a constant length where met by its Envelope Determination of Radii of Curvature Excess of sum of two Tangents over ...
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Más kiadások - Összes megtekintése
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Nincs elérhető előnézet - 2015 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Nincs elérhető előnézet - 2016 |
Gyakori szavak és kifejezések
anharmonic ratio asymptotes ax² axes bisected bisectors centre chord of contact circumscribing coefficients common tangents condition conic having double conic section conjugate diameters corresponding cos² denote determine directrix double contact drawn ellipse equal express find the equation find the locus fixed line fixed point foci focus four points geometrically given conic given line given point Hence hyperbola imaginary points infinite distance inscribed intercept last Article line at infinity line joining line meets meet the curve middle points 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 right angles right line second degree sides square substituting tangential equation theorem transform trilinear coordinates values vanish vertex vertices
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