Geodesic
Transformation of the branches of a hyperbola into its small fragment
Matematičeskoe obrazovanie, Tome 92 (2019) no. 4, pp. 58-62.

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The article proposes a method for converting, using a linear-fractional function, the branch of a hyperbola into an arbitrarily small part of the branch, either the same or the other.
Keywords: hyperbola, hyperbola branch, small fragment of the branch, linear fractional transformation. 
@article{MO_2019_92_4_a5,
     author = {E. G. Smoljanova},
     title = {Transformation of the branches of a hyperbola into its small fragment},
     journal = {Matemati\v{c}eskoe obrazovanie},
     pages = {58--62},
     publisher = {mathdoc},
     volume = {92},
     number = {4},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MO_2019_92_4_a5/}
}
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E. G. Smoljanova. Transformation of the branches of a hyperbola into its small fragment. Matematičeskoe obrazovanie, Tome 92 (2019) no. 4, pp. 58-62. http://geodesic.mathdoc.fr/item/MO_2019_92_4_a5/