A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, and Company, 1879 - 399 oldal |
Részletek a könyvből
1 - 5 találat összesen 84 találatból.
vii. oldal
... parallel Chords in constant ratio to each other Case where one of the Lines meets the Curve at infinity PAGE · 183 139 • 140 143 144 • 145 146 • 146 • 147 147 • 148 148 149 . 150 151 152 Condition that a given Line should touch a Conic ...
... parallel Chords in constant ratio to each other Case where one of the Lines meets the Curve at infinity PAGE · 183 139 • 140 143 144 • 145 146 • 146 • 147 147 • 148 148 149 . 150 151 152 Condition that a given Line should touch a Conic ...
xii. oldal
... Parallel to Asymptote · 296 297 Parallels to Asymptotes through any Point on Curve , how cut any Diameter Anharmonic Property of Tangents to Parabola 298 299 • How any Tangent cuts two Parallel Tangents . 299 Proof , by Anharmonic ...
... Parallel to Asymptote · 296 297 Parallels to Asymptotes through any Point on Curve , how cut any Diameter Anharmonic Property of Tangents to Parabola 298 299 • How any Tangent cuts two Parallel Tangents . 299 Proof , by Anharmonic ...
1. oldal
... parallels PM , PN , which will intersect in the point required . It is usual to denote PM parallel to OY by the letter y , and PN parallel to OX by the letter x , and the point P is said to be determined by the two equations x = a , y ...
... parallels PM , PN , which will intersect in the point required . It is usual to denote PM parallel to OY by the letter y , and PN parallel to OX by the letter x , and the point P is said to be determined by the two equations x = a , y ...
6. oldal
... parallel to the old ; secondly , we shall suppose the directions of the axes changed , but the origin to remain unaltered ; and thirdly , we shall suppose both origin and directions of axes to be altered . First . Let the new axes be ...
... parallel to the old ; secondly , we shall suppose the directions of the axes changed , but the origin to remain unaltered ; and thirdly , we shall suppose both origin and directions of axes to be altered . First . Let the new axes be ...
8. oldal
... parallel to the old axes , and then ( by Art . 9 ) we can find the coordinates referred to the required axes . The general expressions are obviously obtained by adding x ' and y ' to the values for x and y given in the last article . Ex ...
... parallel to the old axes , and then ( by Art . 9 ) we can find the coordinates referred to the required axes . The general expressions are obviously obtained by adding x ' and y ' to the values for x and y given in the last article . Ex ...
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Más kiadások - Összes megtekintése
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Nincs elérhető előnézet - 2015 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Nincs elérhető előnézet - 2016 |
Gyakori szavak és kifejezések
anharmonic ratio asymptotes ax² axes bisected bisectors centre chord of contact circumscribing coefficients common tangents condition conic having double conic section conjugate diameters corresponding cos² denote determine directrix double contact drawn ellipse equal express find the equation find the locus fixed line fixed point foci focus four points geometrically given conic given line given point Hence hyperbola imaginary points infinite distance inscribed intercept last Article 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 pole proved quadratic quadrilateral radical axis radius vector reciprocal rectangle right angles right line second degree sides square substituting tangential equation theorem transform trilinear coordinates values vanish vertex vertices
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