A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, and Company, 1879 - Broj stranica: 399 |
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Stranica vi
... X. GENERAL EQUATION OF SECOND DEGREE . Number of conditions which determine a Conic Transformation to Parallel Axes of Equation of second Degree · 136 137 Discussion of Quadratic which determines Points where Line meets a vi CONTENTS .
... X. GENERAL EQUATION OF SECOND DEGREE . Number of conditions which determine a Conic Transformation to Parallel Axes of Equation of second Degree · 136 137 Discussion of Quadratic which determines Points where Line meets a vi CONTENTS .
Stranica vii
... Transformation of general Equation to the centre Condition that it should represent right Lines • Centre , the Pole of the Line at infinity ( see also p . 296 ) Asymptotes of Curve • Equation of the Axes , how found · 154 • 155 155 155 ...
... Transformation of general Equation to the centre Condition that it should represent right Lines • Centre , the Pole of the Line at infinity ( see also p . 296 ) Asymptotes of Curve • Equation of the Axes , how found · 154 • 155 155 155 ...
Stranica viii
... Transformation of the Equation to the form y2 = px Expression for Parameter of Parabola given by general Equation . · 192 · 178 , 194 , 218 ditto , given lengths of two Tangents and contained Angle ( see also p . 214 ) 195 197 • · 199 ...
... Transformation of the Equation to the form y2 = px Expression for Parameter of Parabola given by general Equation . · 192 · 178 , 194 , 218 ditto , given lengths of two Tangents and contained Angle ( see also p . 214 ) 195 197 • · 199 ...
Stranica xii
... transformed from one origin to another Reciprocals with regard to a Parabola 287 288 288 289 290 291 291 291 292 • 292 293 · CHAPTER XVI . HARMONIC AND ANHARMONIC PROPERTIES . Anharmonic Ratio , when one Point infinitely distant Centre ...
... transformed from one origin to another Reciprocals with regard to a Parabola 287 288 288 289 290 291 291 291 292 • 292 293 · CHAPTER XVI . HARMONIC AND ANHARMONIC PROPERTIES . Anharmonic Ratio , when one Point infinitely distant Centre ...
Stranica 6
... TRANSFORMATION OF COORDINATES . * l + m + n 8. When we know the coordinates 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 OF COORDINATES . * l + m + n 8. When we know the coordinates 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 ...
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Ostala izdanja - Prikaži sve
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Pregled nije dostupan - 2015 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Pregled nije dostupan - 2016 |
Uobičajeni izrazi i fraze
anharmonic ratio asymptotes ax² axes bisected by² centre chord of contact circumscribing coefficients coincide common tangents condition conic having double conic section conic touching conjugate diameters coordinates corresponding denote determine directrix double contact drawn ellipse equal find the equation find the locus fixed line fixed point foci focus four points given conic given line given point harmonic Hence hyperbola imaginary points infinite distance inscribed intercept last Article line at infinity line joining line meets meet the curve middle points mẞ origin parabola parallel Pascal's theorem perpendicular point of contact point x'y points at infinity points of intersection polar pole proved quadratic quadrilateral radical axis radius vector reciprocal rectangle represents right angles right line second degree sides square substituting tangential equation theorem trilinear coordinates values vanish vertex vertices
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