11. Convex body strings

11.1 Cordes d'un corps converse

In this section, a chord is defined as an infinitesimal linear intercept of an isolated convex body (the intercept is thus connected).

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11.1.1 Crofton formula

Theorem (Crofton's formula for average string length, 1869). For a two-dimensional convex body isolated in the Euclidean plane $ℝ^{2}$ , the average...

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Convex body strings

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Planar sections of convex bodies

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Bibliography

(1) - BAAK (J.P.A.), OORT (J.), BOUW (G.M.), STOLTE (L.A.M.) - Quantitative morphology : methods and materials I. Stereology and morphometry. - European Journal of Obstetrics & Gynecology and Reproductive Biology, Vol. 7, N° 1, pp. 43-52 (1977).
(2) - BADDELEY (A.),...

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