A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongman, Brown, Green, and Longmans, 1855 - 324 sider |
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Resultat 1-5 av 36
Side 3
... considered as positive , lines measured in the oppo- site direction must be consi- dered as negative . It is , of course , arbitrary in which direction we measure positive x ' lines , but it is customary to consider OM ( measured to the ...
... considered as positive , lines measured in the oppo- site direction must be consi- dered as negative . It is , of course , arbitrary in which direction we measure positive x ' lines , but it is customary to consider OM ( measured to the ...
Side 61
... considered as intersecting it at an infi- nite distance , but ( Art . 36 ) an equation of the form a + C = 0 represents a line through the intersection of the lines a = 0 , C = 0 , or ( Art . 64 ) through the intersection of the line a ...
... considered as intersecting it at an infi- nite distance , but ( Art . 36 ) an equation of the form a + C = 0 represents a line through the intersection of the lines a = 0 , C = 0 , or ( Art . 64 ) through the intersection of the line a ...
Side 73
... considered as the equation of two imaginary right lines passing through the point ( ab ) , since it can be resolved into the factors - ( x − a ) + ( y − b ) √ ( − 1 ) = 0 , and ( x − a ) – ( y − b ) √ ( − 1 ) = 0 . These remarks ...
... considered as the equation of two imaginary right lines passing through the point ( ab ) , since it can be resolved into the factors - ( x − a ) + ( y − b ) √ ( − 1 ) = 0 , and ( x − a ) – ( y − b ) √ ( − 1 ) = 0 . These remarks ...
Side 107
... considered as circles of the system , and have , accordingly , been termed by Poncelet * the limiting points of the system of circles . 117. If from any point on the radical axis we draw tangents to all these circles , the locus of the ...
... considered as circles of the system , and have , accordingly , been termed by Poncelet * the limiting points of the system of circles . 117. If from any point on the radical axis we draw tangents to all these circles , the locus of the ...
Side 119
... considered as a conic section . It was in this point of view that these curves were first examined by geometers . We mention the property here , because we shall often find it convenient to use the terms " conic section " or " conic ...
... considered as a conic section . It was in this point of view that these curves were first examined by geometers . We mention the property here , because we shall often find it convenient to use the terms " conic section " or " conic ...
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A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Uten tilgangsbegrensning - 1855 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Uten tilgangsbegrensning - 1855 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Uten tilgangsbegrensning - 1855 |
Vanlige uttrykk og setninger
anharmonic ratio asymptotes Ax² axes axis bisected centre chord of contact chords of intersection circumscribing common tangents conic having double conic section conic touching conjugate diameters constant ratio corresponding Cy² directrix double contact drawn Edition ellipse envelope equal find the equation find the locus fixed line fixed point focus four points given conic given points Hence hyperbola infinite distance inscribed intercept joining the points last Article line at infinity line joining line meets meet the curve origin parabola parallel Pascal's theorem perpendicular plane point of contact point x'y points at infinity points of intersection polar polar equation pole proved quadrilateral radical axis radius vector reciprocal rectangle right angles right line second degree square substituting subtended theorem triangle vertex vertices vols
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