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 92.
Stranica 3
... axes of coordinates being supposed rectangular . and By Euclid 1. 47 , hence PQ2 = PS " + SQ , but PS = PM- QM ' = y ' -y " , ☎2 = PQ2 = ( x ' — x ′′ ) 2 + ( y ' — y ′′ ) ” . - - To express the distance of any point from the origin ...
... axes of coordinates being supposed rectangular . and By Euclid 1. 47 , hence PQ2 = PS " + SQ , but PS = PM- QM ' = y ' -y " , ☎2 = PQ2 = ( x ' — x ′′ ) 2 + ( y ' — y ′′ ) ” . - - To express the distance of any point from the origin ...
Stranica 4
... axes being rectangular . Ans . 168 , 150 , 106 . Ex . 2. Find the lengths of the sides of a triangle , the coordinates of whose vertices are the same as in the last example , the axes being inclined at an angle of 60 ° . Ans . J52 , 57 ...
... axes being rectangular . Ans . 168 , 150 , 106 . Ex . 2. Find the lengths of the sides of a triangle , the coordinates of whose vertices are the same as in the last example , the axes being inclined at an angle of 60 ° . Ans . J52 , 57 ...
Stranica 6
... axes , it is frequently necessary to find its co- ordinates referred to another pair of axes . This operation is called the transformation of coordinates . We shall consider three cases separately ; first , we shall suppose the origin ...
... axes , it is frequently necessary to find its co- ordinates referred to another pair of axes . This operation is called the transformation of coordinates . We shall consider three cases separately ; first , we shall suppose the origin ...
Stranica 7
... axes be Ox , Oy , so that we have OQ = x , PQ = y . Let the new axes be OX , OY , so that we have ON = X , PN = Y. Let OX , OY make angles respectively a , B , with the old axis of x , and angles a ' , B ' with the old axis of y ; and ...
... axes be Ox , Oy , so that we have OQ = x , PQ = y . Let the new axes be OX , OY , so that we have ON = X , PN = Y. Let OX , OY make angles respectively a , B , with the old axis of x , and angles a ' , B ' with the old axis of y ; and ...
Stranica 8
... axes through the new origin 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 ...
... axes through the new origin 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 ...
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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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