Geodesic
Natural logarithm
Matematičeskoe obrazovanie, Tome 111 (2024) no. 3, pp. 17-25.

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

The article presents a methodologically interesting and geometrically clear presentation of the concept of a natural logarithm as the area of a hyperbolic trapezoid with a variable vertical boundary. In this case, the author does not need to apply the full theory of integration; it is enough to determine the area of the hyperbolic trapezoid and find out a number of its properties. 
@article{MO_2024_111_3_a2,
     author = {E. V. Shchepin},
     title = {Natural logarithm},
     journal = {Matemati\v{c}eskoe obrazovanie},
     pages = {17--25},
     publisher = {mathdoc},
     volume = {111},
     number = {3},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MO_2024_111_3_a2/}
}
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E. V. Shchepin. Natural logarithm. Matematičeskoe obrazovanie, Tome 111 (2024) no. 3, pp. 17-25. http://geodesic.mathdoc.fr/item/MO_2024_111_3_a2/