Geodesic
Arcs and series of Farey
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 13, Tome 226 (1996), pp. 52-59 
A. I. Vinogradov. Arcs and series of Farey. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 13, Tome 226 (1996), pp. 52-59. http://geodesic.mathdoc.fr/item/ZNSL_1996_226_a3/
@article{ZNSL_1996_226_a3,
     author = {A. I. Vinogradov},
     title = {Arcs and series of {Farey}},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {52--59},
     year = {1996},
     volume = {226},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1996_226_a3/}
}
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We find a finite subdivision of the interval $[0,1]$ into Farey's arcs in which the large as well as small arcs are explicitly presented. This subdivision is compared with Kloosterman's classical subdivision and the infinite subdivision by the group of modular transformations. Bibl. 5 titles.