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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Side v
... last five years in teaching Analytic Geometry to beginners , I have gained some ex- perience as to the points where ... articles marked with asterisks . Should he require ex- amples for exercise , in addition to those contained in these ...
... last five years in teaching Analytic Geometry to beginners , I have gained some ex- perience as to the points where ... articles marked with asterisks . Should he require ex- amples for exercise , in addition to those contained in these ...
Side 8
... articles , we can find the co - ordinates of a point referred to two new axes in any position whatever . We first find the ... last article . - - Ex . 1. The co - ordinates of a point satisfy the relation x2 + y2 – 4x – by what will this ...
... articles , we can find the co - ordinates of a point referred to two new axes in any position whatever . We first find the ... last article . - - Ex . 1. The co - ordinates of a point satisfy the relation x2 + y2 – 4x – by what will this ...
Side 15
... last Article , that m will be positive or negative according as OR , parallel to the right line PQ , lies in the angle YOX , or Y'OX . And , again , b will be positive or negative according as the point Q , in which the line meets OY ...
... last Article , that m will be positive or negative according as OR , parallel to the right line PQ , lies in the angle YOX , or Y'OX . And , again , b will be positive or negative according as the point Q , in which the line meets OY ...
Side 16
... last Articles we are able to ascertain the geo- metrical meaning of the constants in the equation of a right line ... Article , to the form y = mx + b , and we find that A sin a B sinß ' or if the axes be rectangular tan a ; and that ...
... last Articles we are able to ascertain the geo- metrical meaning of the constants in the equation of a right line ... Article , to the form y = mx + b , and we find that A sin a B sinß ' or if the axes be rectangular tan a ; and that ...
Side 17
... last Article the length of one of these intercepts , by comparing the present equation with the equa- tion y = mx + b . We e pre- fer , however , in the pre- sent Article , to investi- gate the same question directly , by the help of an ...
... last Article the length of one of these intercepts , by comparing the present equation with the equa- tion y = mx + b . We e pre- fer , however , in the pre- sent Article , to investi- gate the same question directly , by the help of an ...
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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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