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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Stranica vii
... Coefficients which are unaltered by transformation 157 Sum of Squares of Reciprocals of Semi - diameters at right Angles is constant 159 • Sum of Squares of conjugate Semi - diameters is constant 159 Polar Equation of Ellipse , centre ...
... Coefficients which are unaltered by transformation 157 Sum of Squares of Reciprocals of Semi - diameters at right Angles is constant 159 • Sum of Squares of conjugate Semi - diameters is constant 159 Polar Equation of Ellipse , centre ...
Stranica 7
... coefficient of Y in the expression for a sine is negative . This occurs in the following special case , to which , as the one which most frequently occurs in practice , we give a separate figure . To transform from a system of ...
... coefficient of Y in the expression for a sine is negative . This occurs in the following special case , to which , as the one which most frequently occurs in practice , we give a separate figure . To transform from a system of ...
Stranica 19
... coefficient of x is negative . For the position M'N ' , a is between 180 ° and 270 ° , and has both sine and cosine negative . For MN ' , a is between 270 ° and 360 ° , and has a negative sine and positive cosine . In the last two cases ...
... coefficient of x is negative . For the position M'N ' , a is between 180 ° and 270 ° , and has both sine and cosine negative . For MN ' , a is between 270 ° and 360 ° , and has a negative sine and positive cosine . In the last two cases ...
Stranica 26
... coefficients of x and y , and alter the sign of one of them . Ex . 1. To find the equations of the perpendiculars from each vertex on the opposite side of the triangle ( 2 , 1 ) , ( 3 , − 2 ) , ( — 4 , — 1 ) . The equations of the ...
... coefficients of x and y , and alter the sign of one of them . Ex . 1. To find the equations of the perpendiculars from each vertex on the opposite side of the triangle ( 2 , 1 ) , ( 3 , − 2 ) , ( — 4 , — 1 ) . The equations of the ...
Stranica 50
... coefficients in the equation Ax + By + C = 0 be connected by the relation aA + bB + cC = 0 ( where a , b , c are constant and A , B , C may vary ) , the line represented by this equa- tion will always pass through a fixed point . For by ...
... coefficients in the equation Ax + By + C = 0 be connected by the relation aA + bB + cC = 0 ( where a , b , c are constant and A , B , C may vary ) , the line represented by this equa- tion will always pass through a fixed point . For by ...
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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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