A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongman, Brown, Green, and Longmans, 1855 - 324 sider |
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Side viii
... Imaginary Right Lines , · Angle between two Lines given by a single Equation , Equation of Bisectors of Angles between these Lines , • Condition that Equation of second Degree should represent Right Lines ( see also pp . 130 , 139 , 250 ) ...
... Imaginary Right Lines , · Angle between two Lines given by a single Equation , Equation of Bisectors of Angles between these Lines , • Condition that Equation of second Degree should represent Right Lines ( see also pp . 130 , 139 , 250 ) ...
Side ix
... Imaginary Points , Condition that Circle should touch either Axis , 71 72 73 74 75 Equation of Tangent to a Circle at a given Point , 76 , 78 Condition that a Line should touch a Circle , Equation of Polar of a Point with regard to a ...
... Imaginary Points , Condition that Circle should touch either Axis , 71 72 73 74 75 Equation of Tangent to a Circle at a given Point , 76 , 78 Condition that a Line should touch a Circle , Equation of Polar of a Point with regard to a ...
Side xiii
... imaginary common Points at infinity , Anharmonic Property of Conics proved ( see also p . 225 ) , Extension of Property of Focus and Directrix , . PAGE . 211 212 213 213 214 215 216 217 Result of substituting the Co - ordinates of any ...
... imaginary common Points at infinity , Anharmonic Property of Conics proved ( see also p . 225 ) , Extension of Property of Focus and Directrix , . PAGE . 211 212 213 213 214 215 216 217 Result of substituting the Co - ordinates of any ...
Side 63
... imaginary . The first case presents no difficulty : a and b are the tangents of the angles which the lines make with the axis of y ( the axes being supposed rectangular ) , p is therefore the sum of those tan- gents , and q their ...
... imaginary . The first case presents no difficulty : a and b are the tangents of the angles which the lines make with the axis of y ( the axes being supposed rectangular ) , p is therefore the sum of those tan- gents , and q their ...
Side 64
... imaginary , that the lines are imaginary . It may seem to the student a matter of indifference which mode of speak- ing we adopt ; we shall find , however , as we proceed , that we should lose sight of many important analogies by ...
... imaginary , that the lines are imaginary . It may seem to the student a matter of indifference which mode of speak- ing we adopt ; we shall find , however , as we proceed , that we should lose sight of many important analogies by ...
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A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Uten tilgangsbegrensning - 1855 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Uten tilgangsbegrensning - 1855 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Uten tilgangsbegrensning - 1855 |
Vanlige uttrykk og setninger
anharmonic ratio asymptotes Ax² axes bisected bisector chord of contact chords of intersection circumscribing common tangents conic having double conic section conjugate diameters constant ratio corresponding Cy² directrix double contact drawn ellipse equa equal find the equation find the locus fixed line fixed point focal focus four points given conic given points Hence hyperbola infinite distance inscribed intercept joining the points last Article line at infinity line joining line meets meet the curve middle points origin pair parabola parallel pass perpendicular point of contact point x'y points at infinity points of intersection polar equation pole proved quadrilateral radical axis radius vector reciprocal rectangle represent right line second degree sides square substituting tangents theorem triangle values vertex vertices
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