Geodesic
Geometric probability calculation for a triangle
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 51 (2017) no. 3, pp. 211-216

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Let $P(L(\omega)\subset \mathbf {D})$ is the probability that a random segment of length $l$ in $\mathbb{R}^{n}$ having a common point with body $\mathbf {D}$ entirely lies in $\mathbf {D}$. In the paper, using a relationship between $P(L(\omega)\subset \mathbf {D}) $ and covariogram of $\mathbf {D}$ the explicit form of $P(L(\omega)\subset \mathbf {D})$ for arbitrary triangle on the plane is obtained.
Keywords: Geometric probability calculation for a triangle. 
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N. G. Aharonyan; H. O. Harutyunyan. Geometric probability calculation for a triangle. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 51 (2017) no. 3, pp. 211-216. http://geodesic.mathdoc.fr/item/UZERU_2017_51_3_a0/