Translation and analysis of words by ChatGPT artificial intelligence
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equiangular spiral - translation to russian
![A section of the [[Mandelbrot set]] following a logarithmic spiral](https://commons.wikimedia.org/wiki/Special:FilePath/Mandel zoom 04 seehorse tail.jpg?width=200 "A section of the [[Mandelbrot set]] following a logarithmic spiral")
![Cutaway of a [[nautilus]] shell showing the chambers arranged in an approximately logarithmic spiral. The plotted spiral (dashed blue curve) is based on growth rate parameter <math>b = 0.1759</math>, resulting in a pitch of <math>\arctan b \approx 10^\circ</math>.](https://commons.wikimedia.org/wiki/Special:FilePath/Nautilus Cutaway with Logarithmic Spiral.png?width=200 "Cutaway of a [[nautilus]] shell showing the chambers arranged in an approximately logarithmic spiral. The plotted spiral (dashed blue curve) is based on growth rate parameter <math>b = 0.1759</math>, resulting in a pitch of <math>\arctan b \approx 10^\circ</math>.")
математика
логарифмическая спираль
математика
логарифмическая спираль
Definition
Wikipedia
A logarithmic spiral, equiangular spiral, or growth spiral is a self-similar spiral curve that often appears in nature. The first to describe a logarithmic spiral was Albrecht Dürer (1525) who called it an "eternal line" ("ewige Linie"). More than a century later, the curve was discussed by Descartes (1638), and later extensively investigated by Jacob Bernoulli, who called it Spira mirabilis, "the marvelous spiral".
The logarithmic spiral can be distinguished from the Archimedean spiral by the fact that the distances between the turnings of a logarithmic spiral increase in geometric progression, while in an Archimedean spiral these distances are constant.
