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🗓️ 1 April 2022
⏱️ 9 minutes
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0:00.0 | In 1696, the mathematician Johann Bernoulli posited a very simple question. |
0:05.0 | Assuming there was no friction, what was the fastest shape for an object to slide down to go from point A to point B? |
0:12.0 | That simple question stumped some of the world's greatest |
0:15.3 | mathematicians. The answer to that question isn't what you think it might be and |
0:19.2 | it has some very interesting implications. Learn more about the Burkistachron problem and what exactly a Burkistachron is on this episode of |
0:27.7 | Everything Everywhere Daily. This entire episode stemmed from a single question published in a scientific journal over 300 years ago. |
0:50.0 | Johann Bernoulli, a member of the Mathev family of Switzerland, posited a question to the scientific |
1:01.2 | journal Aetka Euro-Dittoram in June of 1696. His entire submission was as follows, quote, |
1:04.0 | I Johann Bernoulli addressed the most brilliant mathematicians in the world. |
1:08.0 | Nothing is more attractive to intelligent people than an honest challenging problem |
1:12.0 | whose possible solution will |
1:14.0 | bestow fame and remain as a lasting monument. |
1:17.8 | Following the example set by Pascal, Ferma, etc, I hope to gain the gratitude of the whole scientific community by placing before the finest |
1:25.2 | mathematicians of our time a problem which will test their methods and the strength of their |
1:29.9 | intellect. If someone communicates to me the solution of the proposed problem, I shall publicly |
1:35.0 | declare him worthy of praise." |
1:38.7 | The problem he stated was as follows. |
1:41.1 | Quote, given two points A and B in a vertical plane, what is the curve |
1:45.2 | traced out by a point acted upon only by gravity which starts at A and reaches B in the |
1:50.9 | shortest time? End quote. |
1:53.0 | The problem was dubbed the brachista chrome problem. |
1:57.0 | And if you haven't heard the term brachista crone before, |
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