On the maximum and minimum areas of the necklace (Q6544194)
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scientific article; zbMATH DE number 7853834
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the maximum and minimum areas of the necklace |
scientific article; zbMATH DE number 7853834 |
Statements
On the maximum and minimum areas of the necklace (English)
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27 May 2024
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The author defines the necklace as follow: suppose that two circles with radii \({R_1}\) and \({R_2}\) touch each other internally; the circles are inscribed into the large circle so that they touch the original small circle. The resulting system minus the outer and inner circles is called a necklace. In this paper, the author uses complex numbers finding the maximum area and the minimum area of the necklace.
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conformal mappings
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fractional-linear mappings
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extremal problems
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necklace
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maximum area
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minimum area
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