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Published online by Cambridge University Press: 15 September 2014
(1) IN a paper by A. Scholtz entitled “Sechs Punkte eines Kegelschnittes” (Archiv d. Math. u. Phys., lxii. pp. 317–324, year 1878) there appears a statement which, after correction of two misprints, runs thus:—
where ξln=ylzn − ynzl. A year or so later there was published a paper by Hunyady with the title “Beitrag zur Theorie des Flächen zweiten Grades” (Crelle's Journ., lxxxix. pp. 47–69), in which it is asserted, again without proof, that
The object of the present note is to formulate and prove a general theorem of which these are cases, and to draw certain deductions therefrom.
page 216 note * Prof. Nanson in the Educ. Times for 1902, pp. 515–516, gives
where Δ is | a1b2c3 |; and it is not difficult to show also that