Geodesic
A Zeuthen Segre formula for even dimensional submanifolds of real projective space
Glasgow mathematical journal, Tome 24 (1983) no. 1, pp. 97-99

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In this paper we generalise results of Craveiro de Carvalho ([3]) in two ways. First we prove the following fact.PROPOSITION 1. Given any smooth submanifold M of real projective space Pn, for L in an open dense subset of the space of codimension 2 subspaces of Pnwe have(a) L meets M transversally and(b) the pencil of hyperplanes through L have at worst Morse (A1) contact with M. 
Bruce, J. W. A Zeuthen Segre formula for even dimensional submanifolds of real projective space. Glasgow mathematical journal, Tome 24 (1983) no. 1, pp. 97-99. doi: 10.1017/S0017089500005127
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