How Likely is a Random Triangle Acute?: Picking Three Points in a Disc or in a Ball

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Sarkar2023How-pubp.pdf (6.33 MB)
Date
2023-08
Authors
Sarkar, Jyotirmoy
Tully, Collin
Language
English
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Mathematical Sciences, School of Science
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Springer Nature
Abstract

If you pick three points independently and uniformly in a disc or a ball, what is the probability that the random triangle with vertices at these points will be acute?

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half angle formulas, the cosine law, probability density function
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Sarkar, J., & Tully, C. (2023). How Likely is a Random Triangle Acute?: Picking Three Points in a Disc or in a Ball. Resonance: Journal of Science Education, 28(8), 1245–1261. https://doi.org/10.1007/s12045-023-1660-y
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Resonance: Journal of Science Education
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https://hdl.handle.net/1805/45246
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https://doi.org/10.1007/s12045-023-1660-y
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Final published version
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