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 vii
... Transformation of Co - ordinates , does not change Degree of an Equation , • Polar Co - ordinates , . PAGE . 2 3 5 6 8 9 CHAPTER II . THE RIGHT LINE . Two Equations of mth and nth Degrees represent mn Points , Equation of a Right Line ...
... Transformation of Co - ordinates , does not change Degree of an Equation , • Polar Co - ordinates , . PAGE . 2 3 5 6 8 9 CHAPTER II . THE RIGHT LINE . Two Equations of mth and nth Degrees represent mn Points , Equation of a Right Line ...
Side x
... Transformation to Parallel Axes of Equation of second Degree , Discussion of Quadratic which determines Points where ... Transformation of general Equation to the centre , · Centre , the Pole of the Line at infinity ( see also p . 272 ) ...
... Transformation to Parallel Axes of Equation of second Degree , Discussion of Quadratic which determines Points where ... Transformation of general Equation to the centre , · Centre , the Pole of the Line at infinity ( see also p . 272 ) ...
Side xi
... Transformation of the Equation to the form y2 = px , · Parabola the limit of the Ellipse when one Focus passes to infinity , 176 . 178 Expression for Parameter of Parabola given by general Equation , 179 ditto , given lengths of two ...
... Transformation of the Equation to the form y2 = px , · Parabola the limit of the Ellipse when one Focus passes to infinity , 176 . 178 Expression for Parameter of Parabola given by general Equation , 179 ditto , given lengths of two ...
Side 6
... Transformation of Co - ordinates . When we know the co- ordinates of a point referred to one pair of axes , it is frequently necessary to find its co - ordinates referred to another pair of axes . This operation is called the transformation ...
... Transformation of Co - ordinates . When we know the co- ordinates of a point referred to one pair of axes , it is frequently necessary to find its co - ordinates referred to another pair of axes . This operation is called the transformation ...
Side 7
... X sinyOX – Y sinyOY . It will often be convenient to write these formulæ as follows : let the angle between the old axes yOr = w : let the angle that == the new axis of X makes with the old , THE POINT - TRANSFORMATION OF CO - ORDINATES .
... X sinyOX – Y sinyOY . It will often be convenient to write these formulæ as follows : let the angle between the old axes yOr = w : let the angle that == the new axis of X makes with the old , THE POINT - TRANSFORMATION OF CO - ORDINATES .
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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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