Geodesic
The metric and measure of the space of types of second order curves
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 3 (1996) no. 1, pp. 65-69 Cet article a éte moissonné depuis la source Math-Net.Ru

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The author has considered the space of types of second order curves, e.g. the set of classes of triples of real numbers $(a_{11},a_{12},a_{22})\ne(0,0,0)$ generated by translations of plane and multiplications by a non-zero constant. On this set classes an invariant Riemannian metric and measure is defined. The measure of elliptic and hyperbolic curve types has been evaluated. 
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     author = {V. I. Denisov},
     title = {The metric and measure of the space of types of second order curves},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {65--69},
     year = {1996},
     volume = {3},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JMAG_1996_3_1_a5/}
}
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V. I. Denisov. The metric and measure of the space of types of second order curves. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 3 (1996) no. 1, pp. 65-69. http://geodesic.mathdoc.fr/item/JMAG_1996_3_1_a5/