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A note on a certain property of a family of curves

1934
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Bulletin of the American Mathematical Society
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1. Introduction. In studying methods of constructing alignment charts for sets of empirical curves, it was found necessary to consider a certain property of the curves which we will call the closure property. Let Ci, C 2 , and C 3 be three plane curves such that C 2 lies between C\ and C 3 ; take any point P on C 2 and make the following sequence of projections. Project P vertically on Cz into P 3 , project P 3 horizontally on C\ into Pi, project Pi vertically on C 2 into P 2 , project P 2

doi:10.1090/s0002-9904-1934-05805-1
fatcat:vayoufx7ijbqpmq6g3p6b6fl2u