 | Mathematics - 1851 - 632 pages
...rektion. Such a relation, however, may be obtained by the following considerations. It is well known that the polar conic of a point of inflexion -breaks up into two lines: one of these is the tangent at the point of inflexion, the other will be found to be the locus... | |
 | George Salmon - Curves, Algebraic - 1879 - 424 pages
...to the point O. 170. Let us now consider more particularly the case where 0 is a point of inflexion. It was shewn (Art. 74) that the polar conic of a point...of y the tangent at it, we must have (see Art. 46) A = 0, .5 = 0, D = 0, when the equation of the polar conic (Art. 169) reduces to The factor y is evidently... | |
 | Henry John Stephen Smith - Mathematics - 1965 - 704 pages
...relation. Such a relation, however, may be obtained by the following considerations. It is well known that the polar conic of a point of inflexion breaks up into two lines : one of these is the tangent at the point of inflexion, the other will be found to be the locus... | |
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J\ but the theorem of Newton's, which has hitherto guided us, is perhaps insufficient immediately to furnish a second relation. Such a relation, however, may be obtained by the following considerations. It is well known that the polar conic of a point... 