A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, and Company, 1879 - 399 oldal |
Részletek a könyvből
1 - 5 találat összesen 64 találatból.
6. oldal
... evidently , equally true , whether the axes be oblique or rectangular . 9. Secondly , let the directions of the axes be changed , while the origin is unaltered . The beginner may postpone the rest of this chapter till he has read to the ...
... evidently , equally true , whether the axes be oblique or rectangular . 9. Secondly , let the directions of the axes be changed , while the origin is unaltered . The beginner may postpone the rest of this chapter till he has read to the ...
9. oldal
... evidently cannot contain powers of x or y above the mth degree . Neither can transformation diminish the degree of an equation , since by transforming the transformed equation back again to the old axes , we must fall back on the ...
... evidently cannot contain powers of x or y above the mth degree . Neither can transformation diminish the degree of an equation , since by transforming the transformed equation back again to the old axes , we must fall back on the ...
12. oldal
... evidently does not afford us conditions enough to determine the two unknown quantities x , y ; and an inde- finite number of systems of values of x and y can be found which will satisfy the given equation . And yet the coordinates of ...
... evidently does not afford us conditions enough to determine the two unknown quantities x , y ; and an inde- finite number of systems of values of x and y can be found which will satisfy the given equation . And yet the coordinates of ...
15. oldal
... evidently is a right line OP , passing through O , the point of intersection of the two fixed lincs , and dividing the angle between them in such a manner that sin POM = m sin PON . If the axes be rectangular , sin PON = cos POM ...
... evidently is a right line OP , passing through O , the point of intersection of the two fixed lincs , and dividing the angle between them in such a manner that sin POM = m sin PON . If the axes be rectangular , sin PON = cos POM ...
16. oldal
... therefore y - b , the question becomes : " To find the locus of a point , such that , if we draw PT parallel to OY to meet the fixed line QT , PT may be to QT in a constant ratio ; " and this locus evidently is the 16 THE RIGHT LINE .
... therefore y - b , the question becomes : " To find the locus of a point , such that , if we draw PT parallel to OY to meet the fixed line QT , PT may be to QT in a constant ratio ; " and this locus evidently is the 16 THE RIGHT LINE .
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Más kiadások - Összes megtekintése
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Nincs elérhető előnézet - 2015 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Nincs elérhető előnézet - 2016 |
Gyakori szavak és kifejezések
anharmonic ratio asymptotes ax² axes bisected bisectors centre chord of contact circumscribing coefficients common tangents condition conic having double conic section conjugate diameters corresponding cos² denote determine directrix double contact drawn ellipse equal express find the equation find the locus fixed line fixed point foci focus four points geometrically given conic given line given point Hence hyperbola imaginary points infinite distance inscribed intercept last Article line at infinity line joining line meets meet the curve middle points 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 right angles right line second degree sides square substituting tangential equation theorem transform trilinear coordinates values vanish vertex vertices
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