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 100
Side 7
... drawn parallel to Oy , OY , and NS to Ox . Then , as before , PM PS + NR . We have no longer PS posed a right angle ; but = = PN cos SPN , since PSN is not sup- PS : PN :: sin PNS ( = sin YOx ) : sin PSN ( = sinyOx ) ; and Hence PN sin ...
... drawn parallel to Oy , OY , and NS to Ox . Then , as before , PM PS + NR . We have no longer PS posed a right angle ; but = = PN cos SPN , since PSN is not sup- PS : PN :: sin PNS ( = sin YOx ) : sin PSN ( = sinyOx ) ; and Hence PN sin ...
Side 29
... drawn through the intersection of the same lines , parallel to the axis of x . Ans . ( BA ' - AB ' ) y + CA ' - AC ' = 0 . Ex . 3. To find the equation of the line joining the intersection of the same lines to the point x'y ' . Writing ...
... drawn through the intersection of the same lines , parallel to the axis of x . Ans . ( BA ' - AB ' ) y + CA ' - AC ' = 0 . Ex . 3. To find the equation of the line joining the intersection of the same lines to the point x'y ' . Writing ...
Side 36
... drawn from the pole to the given line OR = p , ROP = 0 , OR cos 0 = OP , but , plainly , hence , the equation is ρ cos 0 = p . α R Р If the fixed axis make an angle a with the perpendicular , the equation is p cos ( 0 - a ) = p . This ...
... drawn from the pole to the given line OR = p , ROP = 0 , OR cos 0 = OP , but , plainly , hence , the equation is ρ cos 0 = p . α R Р If the fixed axis make an angle a with the perpendicular , the equation is p cos ( 0 - a ) = p . This ...
Side 40
... drawn to intersect them parallel to a third fixed line , OC , to find the locus of the point where AB is cut in a given ratio . We may here employ oblique axes , since angles are not concerned ( Art . 46 ) . Let us take the fixed line ...
... drawn to intersect them parallel to a third fixed line , OC , to find the locus of the point where AB is cut in a given ratio . We may here employ oblique axes , since angles are not concerned ( Art . 46 ) . Let us take the fixed line ...
Side 43
... drawn to the base of a triangle , and perpendiculars to the sides erected at its extremities , find the locus of their intersection . Take the same axes as in Ex . 1 . line AC Then the line FQ , which is a perpendicular to the ( 2-1 ) ...
... drawn to the base of a triangle , and perpendiculars to the sides erected at its extremities , find the locus of their intersection . Take the same axes as in Ex . 1 . line AC Then the line FQ , which is a perpendicular to the ( 2-1 ) ...
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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 bisected bisector chord of contact chords of intersection circumscribing common tangents conic having double conic section conjugate diameters constant ratio corresponding Cy² directrix double contact drawn ellipse equa equal find the equation find the locus fixed line fixed point focal 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 middle points origin pair parabola parallel pass perpendicular point of contact point x'y points at infinity points of intersection polar equation pole proved quadrilateral radical axis radius vector reciprocal rectangle represent right line second degree sides square substituting tangents theorem triangle values vertex vertices
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