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 страници |
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Резултати 1 - 5 от 86.
Страница iii
... represent Points . A single Equation represents a Locus [ Geometric representation of Equations Equation of a Right Line parallel to an Axis through the Origin in any Position 11 12 13 14 15 16 Meaning of the Constants in Equation of a ...
... represent Points . A single Equation represents a Locus [ Geometric representation of Equations Equation of a Right Line parallel to an Axis through the Origin in any Position 11 12 13 14 15 16 Meaning of the Constants in Equation of a ...
Страница v
... represent Right Lines ( see also pp . 144 , 148 , 150 , 255 ) Number of conditions that higher Equations may represent Right Lines Number of terms in Equation of nth Degree CHAPTER VI . THE CIRCLE . Equation of Circle 75 Conditions that ...
... represent Right Lines ( see also pp . 144 , 148 , 150 , 255 ) Number of conditions that higher Equations may represent Right Lines Number of terms in Equation of nth Degree CHAPTER VI . THE CIRCLE . Equation of Circle 75 Conditions that ...
Страница ix
... represents right lines Equation of Conic passing through five given Points Equation of osculating Circle Equations of Conics having double contact with each other Every Parabola has a Tangent at infinity ( see also p . 317 ) 221 • 222 ...
... represents right lines Equation of Conic passing through five given Points Equation of osculating Circle Equations of Conics having double contact with each other Every Parabola has a Tangent at infinity ( see also p . 317 ) 221 • 222 ...
Страница 11
... represents a point . If the equations be of higher degree , they represent more points than one . For , eliminating y between the equations , we obtain an equation containing x only ; let its roots be a ,, a , a , & c . Now , if we ...
... represents a point . If the equations be of higher degree , they represent more points than one . For , eliminating y between the equations , we obtain an equation containing x only ; let its roots be a ,, a , a , & c . Now , if we ...
Страница 12
... represent . We can illustrate by a still simpler example , that a single equation between the co - ordinates ... represented by the equation x = a , since , whatever point we take on the line MK 12 THE RIGHT LINE .
... represent . We can illustrate by a still simpler example , that a single equation between the co - ordinates ... represented by the equation x = a , since , whatever point we take on the line MK 12 THE RIGHT LINE .
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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