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On the Net Oe Conics having a Common Self-Polar Triangle


     

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The totality of conic-loci

S = ax2 + by2 + cz2 + 2fyz+ 2gxz + 2 hxy = 0

whose co-efficieDts satisfy r independent linear equations, constitute a linear ∞ 5 - r system, N 5 - r, In particular, if r = 3, we have a linear whose co-efficieDts satisfy r independent linear equations, constitute a linear ∞2 system or a net N2.


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  • On the Net Oe Conics having a Common Self-Polar Triangle

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Abstract


The totality of conic-loci

S = ax2 + by2 + cz2 + 2fyz+ 2gxz + 2 hxy = 0

whose co-efficieDts satisfy r independent linear equations, constitute a linear ∞ 5 - r system, N 5 - r, In particular, if r = 3, we have a linear whose co-efficieDts satisfy r independent linear equations, constitute a linear ∞2 system or a net N2.