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math.HO2016
A Geometric-Probabilistic problem about the lengths of the segments intersected in straights that randomly cut a triangle
Jesús Álvarez Lobo
If a line cuts randomly two sides of a triangle, the length of the segment determined by the points of intersection is also random. The object of this study, applied to a particula…
math.HO2011
Geometry Beyond Algebra. The Theorem of Overlapped Polynomials (TOP) and its Application to the Sawa Masayoshiś Sangaku Problem. The Adventure of Solving a Mathematical Challenge Stated in 1821
Jesus Alvarez Lobo
This work presents for the first time a solution to the 1821 unsolved Sawa Masayoshi's problem, giving an explicit and algebraically exact solution for the symmetric case (particul…