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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Rezultati 6 - 10 od 78.
Stranica xiv
... Corresponding points on Jacobian 360 · Lines joining corresponding Points cut in involution by the Conics 360 General equation of Jacobian 361 • To draw a Conic through four Points to touch a given Conic 361 Jacobian of three Conics ...
... Corresponding points on Jacobian 360 · Lines joining corresponding Points cut in involution by the Conics 360 General equation of Jacobian 361 • To draw a Conic through four Points to touch a given Conic 361 Jacobian of three Conics ...
Stranica 4
... corresponding pair of coordinates . == - Ex . 1. Find the lengths of the sides of a triangle , the coordinates of whose vertices are x = 2 , y ′ = 3 ; x ′′ = 4 , y ' ' = − 5 ; x ′′ " — — 3 , y ' " — — 6 , the axes being rectangular ...
... corresponding pair of coordinates . == - Ex . 1. Find the lengths of the sides of a triangle , the coordinates of whose vertices are x = 2 , y ′ = 3 ; x ′′ = 4 , y ' ' = − 5 ; x ′′ " — — 3 , y ' " — — 6 , the axes being rectangular ...
Stranica 11
... corresponding values of y , y = + 2 , y = - 2 , y = + 1 , y = - −1 . The two given equations , therefore , represent the four points - ( + 1 , + 2 ) , ( − 1 , − 2 ) , ( + 2 , + 1 ) , ( — 2 , − 1 ) . - Ex . 3. What points are denoted ...
... corresponding values of y , y = + 2 , y = - 2 , y = + 1 , y = - −1 . The two given equations , therefore , represent the four points - ( + 1 , + 2 ) , ( − 1 , − 2 ) , ( + 2 , + 1 ) , ( — 2 , − 1 ) . - Ex . 3. What points are denoted ...
Stranica 13
... corresponding points will be seen all to lie on a right line . Ex . 2. Represent the locus denoted by the equation y = x2 - 3x - 2 . Ans . To the values for x , - - - - - · 1 , − § , 0 , 1 , 1 , § , 2 , § , 3 , 7 , 4 ; correspond for ...
... corresponding points will be seen all to lie on a right line . Ex . 2. Represent the locus denoted by the equation y = x2 - 3x - 2 . Ans . To the values for x , - - - - - · 1 , − § , 0 , 1 , 1 , § , 2 , § , 3 , 7 , 4 ; correspond for ...
Stranica 23
... corresponding to the particular line which satisfies these conditions . This is sufficiently illus- trated by the examples in Arts . 28 , 29 , 32 , 33 . 28. To find the equation of a right line parallel to a given one , and passing ...
... corresponding to the particular line which satisfies these conditions . This is sufficiently illus- trated by the examples in Arts . 28 , 29 , 32 , 33 . 28. To find the equation of a right line parallel to a given one , and passing ...
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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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