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
... Right Line 17 Equation of a Right Line in terms of its Intercepts on the Axes 18 in terms of the Perpendicular on it from Origin , and the Angles it makes with Axes Expression for the Angles a Line makes with Axes 20 Angle between two Lines ...
... Right Line 17 Equation of a Right Line in terms of its Intercepts on the Axes 18 in terms of the Perpendicular on it from Origin , and the Angles it makes with Axes Expression for the Angles a Line makes with Axes 20 Angle between two Lines ...
Página iv
... Line Equations of Bisectors of Angles between two given Right Lines Area of Triangle in terms of Co - ordinates of its Vertices Area of any Polygon • Condition that three Lines may meet in a Point ( see also Area of Triangle formed by ...
... Line Equations of Bisectors of Angles between two given Right Lines Area of Triangle in terms of Co - ordinates of its Vertices Area of any Polygon • Condition that three Lines may meet in a Point ( see also Area of Triangle formed by ...
Página xiii
... right Line Projective Properties of a Quadrilateral Any two Conics may be projected into Circles Projective proof of Carnot's Theorem ( see also p . 277 ) of Pascal's Theorem • Projections of Properties concerning Foci The six Vertices ...
... right Line Projective Properties of a Quadrilateral Any two Conics may be projected into Circles Projective proof of Carnot's Theorem ( see also p . 277 ) of Pascal's Theorem • Projections of Properties concerning Foci The six Vertices ...
Página 13
... line MK , the x of that point will always = α . 16. In general , if we are given an equation of any degree between the co - ordinates , let us assume for x any value we please ( xa ) , and the equation will enable us to ... RIGHT LINE . 13.
... line MK , the x of that point will always = α . 16. In general , if we are given an equation of any degree between the co - ordinates , let us assume for x any value we please ( xa ) , and the equation will enable us to ... RIGHT LINE . 13.
Página 14
... right line , and , con- versely , that the equation of a right line is always of the first degree . 18. We have already ( Art . 15 ) interpreted the simplest case of an equation of the ... Right Line parallel to an Axis through the Origin.
... right line , and , con- versely , that the equation of a right line is always of the first degree . 18. We have already ( Art . 15 ) interpreted the simplest case of an equation of the ... Right Line parallel to an Axis through the Origin.
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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