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" 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 inflexion breaks up into two right lines, one of them being the tangent at the point. And the same thing... "
A Treatise on the Higher Plane Curves: Intended as a Sequel to A Treatise on ... - Page 91
by George Salmon, Arthur Cayley - 1873 - 379 pages
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Cambridge Mathematical Journal, Volumes 1-7; Volumes 10-11

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...
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Cambridge Mathematical Journal, Volume 7; Volume 11

Duncan Farquharson Gregory, Robert Leslie Ellis, William Thomson Baron Kelvin, Norman Macleod Ferrers - Mathematics - 1852 - 316 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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A Treatise on the Higher Plane Curves: Intended as a Sequel to A Treatise on ...

George Salmon - Curves, Algebraic - 1879 - 424 pages
...the same chord, and is the harmonic conjugate to the line joining their intersection to the point O. 170. Let us now consider more particularly the case...the axis 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...
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A Treatise on the Higher Plane Curves: Intended as a Sequel to A Treatise on ...

George Salmon - Curves, Algebraic - 1879 - 424 pages
...their intersection to the point (?. 170. Let us now consider more particularly the case where 0 wa point of inflexion. It was shewn (Art. 74) that the...the axis of y the tangent at it, we must have (see Art. 46) A = Q, J5=0, D = 0, when the equation of the polar conic (Art. 169) reduces to The factor...
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The Collected Mathematical Papers of Henry John Stephen Smith, Volume 1

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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