Full text: The collected mathematical papers of Arthur Cayley, Sc.D., F.R.S., sadlerian professor of pure mathematics in the University of Cambridge (Vol. 7)

437J 
115 
437. 
DÉMONSTRATION NOUVELLE DU THÉORÈME DE M. CASEY 
PAR RAPPORT AUX CERCLES QUI TOUCHENT À TROIS 
CERCLES DONNÉS. 
[From the Annali di Matematica pura ed applicata, tom. I. (1867), pp. 132—134.] 
This is in fact the investigation contained in the paper 414, “ On Polyzomal Curves otherwise the curves 
\/t7+vF-f &c. = 0,” Annex ii. pp. 568—573, “On Casey’s theorem for the circle which touches three given 
circles,” viz. it is based on the identity of the two problems 1° to find a circle touching three given circles, 
2° to find a cone-sphere (sphere of radius zero) passing through three given points in space. 
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