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 66.
Stranica 17
... evidently is the right line PQ passing through Q. The most general equation of the first degree , Ax + By + C = 0 , can obviously be reduced to the form y = mx + b , since it is equivalent to د A C y x B B this equation therefore always ...
... evidently is the right line PQ passing through Q. The most general equation of the first degree , Ax + By + C = 0 , can obviously be reduced to the form y = mx + b , since it is equivalent to د A C y x B B this equation therefore always ...
Stranica 18
... , cutting a negative in- By dividing by the constant term , any equation of the first degree can evidently be reduced to some one of these four forms . Ex . 1. Examine the position of the following lines 18 THE RIGHT LINE .
... , cutting a negative in- By dividing by the constant term , any equation of the first degree can evidently be reduced to some one of these four forms . Ex . 1. Examine the position of the following lines 18 THE RIGHT LINE .
Stranica 31
... evidently the area of the polygon is the sum of the areas of all the triangles into which the figure is thus divided . But by the last Article double these areas are respectively x ( y , -y2 ) -y ( x , −x ) + x , y2 - X1Y 19 x ( y , y1 ) ...
... evidently the area of the polygon is the sum of the areas of all the triangles into which the figure is thus divided . But by the last Article double these areas are respectively x ( y , -y2 ) -y ( x , −x ) + x , y2 - X1Y 19 x ( y , y1 ) ...
Stranica 43
... evidently the abscissa of the middle = point of the rectangle . But its ordinate is k . Now we want to find a relation which will subsist between this ordinate and abscissa whatever k be . We have only then to eliminate k between these ...
... evidently the abscissa of the middle = point of the rectangle . But its ordinate is k . Now we want to find a relation which will subsist between this ordinate and abscissa whatever k be . We have only then to eliminate k between these ...
Stranica 54
... evidently passes through the inter- section of aa- bẞ , and cy - d8 ; but , by the last example , these are the bisectors of the base of two triangles having one diagonal for their common base . In like manner aa dô , bẞ - cy intersect ...
... evidently passes through the inter- section of aa- bẞ , and cy - d8 ; but , by the last example , these are the bisectors of the base of two triangles having one diagonal for their common base . In like manner aa dô , bẞ - cy intersect ...
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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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