A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, and Company, 1879 - 399 páginas |
Dentro del libro
Resultados 1-5 de 47
Página vii
... Rectangles under segments of parallel Chords in constant ratio to each other Case where one of the Lines meets the Curve at infinity PAGE • 188 139 • 140 143 144 • 145 · 146 146 147 147 • 148 148 149 150 151 152 · Condition that a given ...
... Rectangles under segments of parallel Chords in constant ratio to each other Case where one of the Lines meets the Curve at infinity PAGE • 188 139 • 140 143 144 • 145 · 146 146 147 147 • 148 148 149 150 151 152 · Condition that a given ...
Página viii
... Rectangle under Focal Perpendiculars on Tangent is constant 180 · Focal Radii equally inclined to Tangent 180 Confocal Conics cut at Right Angles 181 Tangents at any Point equally inclined to Tangent to Confocal Conic through the Point ...
... Rectangle under Focal Perpendiculars on Tangent is constant 180 · Focal Radii equally inclined to Tangent 180 Confocal Conics cut at Right Angles 181 Tangents at any Point equally inclined to Tangent to Confocal Conic through the Point ...
Página 43
... rectangles inscribed in a given triangle . Let us take for axes CR and AB ; let CR = p , RB = s , AR = s ' . The ... rectangle . But its ordinate is k . Now we want to find a relation which will subsist between this ordinate and ...
... rectangles inscribed in a given triangle . Let us take for axes CR and AB ; let CR = p , RB = s , AR = s ' . The ... rectangle . But its ordinate is k . Now we want to find a relation which will subsist between this ordinate and ...
Página 50
... B any line , and let fall on a perpendicular from A , AP ; produce AP so that the rectangle AP.AQ may be constant ; to find the locus of the point Q. Take A for the pole , and AB for the 50 EXAMPLES ON THE RIGHT LINE .
... B any line , and let fall on a perpendicular from A , AP ; produce AP so that the rectangle AP.AQ may be constant ; to find the locus of the point Q. Take A for the pole , and AB for the 50 EXAMPLES ON THE RIGHT LINE .
Página 65
... rectangle xy is equal to nine square feet or square inches , or to nine squares of some linear unit ; and so on . If we wish to have our equations homogeneous in form as well as in reality , we may denote our linear unit by z , and ...
... rectangle xy is equal to nine square feet or square inches , or to nine squares of some linear unit ; and so on . If we wish to have our equations homogeneous in form as well as in reality , we may denote our linear unit by z , and ...
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Otras ediciones - Ver todas
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Sin vista previa disponible - 2015 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Sin vista previa disponible - 2016 |
Términos y frases comunes
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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