The Osculants of Plane Rational Quartic Curves

H. I. Thomsen
1910 American Journal of Mathematics  
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more » ... out Early Journal Content at http://about.jstor.org/participate--jstor/individuals/early-journal--content. JSTOR is a digital library of academic journals, books, and primary source objects. JSTOR helps people discover, use, and build upon a wide range of content through a powerful research and teaching platform, and preserves this content for future generations. JSTOR is part of ITHAKA, a not--for--profit organization that also includes Ithaka S+R and Portico. For more information about JSTOR, please contact support@jstor.org. * Since T3i(7+4), 7+ l and (7+2)43(r-2) are the sets of I4 to which the parameters of the cusps belong. t This equation can not be used if c3=0, since then we can not write the 14 in the form here used. 228 THOMSEN: The Osculants of Plane Rational Quartic Curves. The Hessiani of this equation is, writing r for t, HE -(x(4 x2 + X3)r 2-2(X1X2 ? X3 (X1 + 4 X3))-=0.
doi:10.2307/2370073 fatcat:55hplwqningzbnzfmysng744vu