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Elements of analytical geometry and the differential and integral calculus (1856)

Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 120

An illustration from Elements of analytical geometry and the differential and integral calculus, 1856, leaf 120
on is of the fourth degree, hence it must hnyefourroots, and this corresponds with the figure, for the circle cutsthe parabola in fozir points, M, M, M, and M. The second term of the equation is wanting, that is, the co-efficient to 2/3 is 0, and hence it follows from the theory of equa-tions, that… … m ANALYTICAL GEOMETRY. The values of a and b and M may be such as to place the cen-ter C in such a position that the circle can cut the parabola inonly two points, and then the resulting equation will be such asto give two real and two imaginary roots. Indeed, a circle referring to the same unit of…

Geometry, Analytic · Calculus

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