Geodesic
About hyperbole --- directly
Matematičeskoe obrazovanie, Tome 107 (2023) no. 3, pp. 54-63.

Voir la notice de l'article provenant de la source Math-Net.Ru

The article proposes an interesting construction of a one-to-one mapping of points on a hyperbola branch (as a graph of a fractional rational function) to points on a straight line specified in a suitable coordinate system. Using this construction, various cases of mutual arrangement of hyperbolas of some families (bundles) are explained. 
@article{MO_2023_107_3_a8,
     author = {E. G. Smoljanova},
     title = {About hyperbole --- directly},
     journal = {Matemati\v{c}eskoe obrazovanie},
     pages = {54--63},
     publisher = {mathdoc},
     volume = {107},
     number = {3},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MO_2023_107_3_a8/}
}
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E. G. Smoljanova. About hyperbole --- directly. Matematičeskoe obrazovanie, Tome 107 (2023) no. 3, pp. 54-63. http://geodesic.mathdoc.fr/item/MO_2023_107_3_a8/