A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, Reader, and Dyer, 1869 - 377 páginas |
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Página iii
... Axes Expression for the Angles a Line makes with Axes 20 Angle between two Lines Equation of Line joining two given Points Condition that three Points shall be on one Right Line Co - ordinates of Intersection of two Right Lines Middle ...
... Axes Expression for the Angles a Line makes with Axes 20 Angle between two Lines Equation of Line joining two given Points Condition that three Points shall be on one Right Line Co - ordinates of Intersection of two Right Lines Middle ...
Página vii
... Axes , how found 151 Functions of the Coefficients which are unaltered by transformation 152 Sum of Squares of Reciprocals of Semi - diameters at right Angles is constant Sum of Squares of conjugate Semi - diameters is constant 154 154 ...
... Axes , how found 151 Functions of the Coefficients which are unaltered by transformation 152 Sum of Squares of Reciprocals of Semi - diameters at right Angles is constant Sum of Squares of conjugate Semi - diameters is constant 154 154 ...
Página ix
... axes Locus of Foci given four Points ECCENTRIC ANGLE Construction for Conjugate Diameters Radius of Circle circumscribing an inscribed Triangle ( see also p . 321 ) Area of Triangle formed by three Tangents , or three Normals SIMILAR ...
... axes Locus of Foci given four Points ECCENTRIC ANGLE Construction for Conjugate Diameters Radius of Circle circumscribing an inscribed Triangle ( see also p . 321 ) Area of Triangle formed by three Tangents , or three Normals SIMILAR ...
Página xii
... Axes and Centres of Similitude of Conics having double contact with a given one 270 · 271 Reciprocation of Theorems concerning Angles at Focus 272 Envelope of Asymptotes of Hyperbolas having same Focus and Directrix Reciprocals of equal ...
... Axes and Centres of Similitude of Conics having double contact with a given one 270 · 271 Reciprocation of Theorems concerning Angles at Focus 272 Envelope of Asymptotes of Hyperbolas having same Focus and Directrix Reciprocals of equal ...
Página 2
... axes of co- ordinates , and the point O , in which they intersect , is called the origin . The axes are said to be rectangular or oblique , ac- cording as the angle at which they intersect is a right angle or oblique . It will readily ...
... axes of co- ordinates , and the point O , in which they intersect , is called the origin . The axes are said to be rectangular or oblique , ac- cording as the angle at which they intersect is a right angle or oblique . It will readily ...
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Términos y frases comunes
anharmonic ratio asymptotes ax² axes bisected bisectors chord of contact circumscribing coefficients common tangents condition conic section conjugate diameters corresponding cos² denote determine directrix double contact drawn ellipse equal find the co-ordinates find the equation find the locus fixed lines fixed point foci focus four points given circles given line given point Hence hyperbola imaginary points infinite distance inscribed intercept joining the points last Article length 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 polar equation pole proved quadratic quadrilateral radical axis radius vector rectangle right angles right line second degree sides sin² square substituting tangential equation theorem values vanish vertex vertices