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 |
Iz unutrašnjosti knjige
Rezultati 1 - 5 od 74.
Stranica 1
... 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 = b . 2. The parallels PM , PN are called the coordinates of the point P. PM is ...
... 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 = b . 2. The parallels PM , PN are called the coordinates of the point P. PM is ...
Stranica 10
... denoting OP by p , POM by 0 , and YOX by w , then Y P PM or y ρ sin 0 = sin w ; 0 M X p sin ( w - 0 ) and similarly , OM = x = sin w For the more ordinary case of rectangular coordinates , w = 90 ° , and we have simply x = p cose and y ...
... denoting OP by p , POM by 0 , and YOX by w , then Y P PM or y ρ sin 0 = sin w ; 0 M X p sin ( w - 0 ) and similarly , OM = x = sin w For the more ordinary case of rectangular coordinates , w = 90 ° , and we have simply x = p cose and y ...
Stranica 11
... denote a point which is represented by these equations . So , in like manner , is the point whose coordinates are x = α , y = ẞ1 , & c . y = B1 . = x = Ex . 1. What point is denoted by the equations 3x + 5y = 13 , 4x - y = 2 ? Ans . x 1 ...
... denote a point which is represented by these equations . So , in like manner , is the point whose coordinates are x = α , y = ẞ1 , & c . y = B1 . = x = Ex . 1. What point is denoted by the equations 3x + 5y = 13 , 4x - y = 2 ? Ans . x 1 ...
Stranica 12
... denotes a geometrical locus . One equation evidently does not afford us conditions enough to determine the two unknown quantities x , y ; and an inde- finite number of systems of values of x and y can be found which will satisfy the ...
... denotes a geometrical locus . One equation evidently does not afford us conditions enough to determine the two unknown quantities x , y ; and an inde- finite number of systems of values of x and y can be found which will satisfy the ...
Stranica 13
... denoted by the equation y = x2 - 3x - 2 . Ans . To the values for x , - - - - - · 1 , − § , 0 , 1 , 1 , § , 2 , § , 3 , 7 , 4 ; correspond for - 2 , - 4 , 2. If the points thus denoted - y . 2 , −1 , − 2 , — 4 , — 4 , — 4 , — 4 , — 4 ...
... denoted by the equation y = x2 - 3x - 2 . Ans . To the values for x , - - - - - · 1 , − § , 0 , 1 , 1 , § , 2 , § , 3 , 7 , 4 ; correspond for - 2 , - 4 , 2. If the points thus denoted - y . 2 , −1 , − 2 , — 4 , — 4 , — 4 , — 4 , — 4 ...
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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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