On the Axial Involution of a Net of Conics and its Associated (1,2)

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Authors

DOI:

https://doi.org/10.18311/jims/1930/17455

Abstract

In every net of conics

N : c1S1 + c2S + 0S = 0

where S1, S2, and S3 are ternary quadratics in point or line co-ordinates, and the e's are constants, there is in general a unique member which has a given line u for a principal axis. It follows, therefore, that the two principal axes of conies of the net are co-lines in a Cremona lineinvolution in the plane.