Timeline for How can I visualize differential equations and Integration in real life?
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 1, 2022 at 1:19 | comment | added | Sue VanHattum♦ | I was thinking Ibrahim meant earlier, and I knew I was right. I never saw the typo at the end. Thanks. | |
| Dec 31, 2021 at 22:42 | comment | added | Chris Cunningham | I fixed it; the final answer had an H in the denominator when it belonged in the numerator. | |
| Dec 31, 2021 at 22:42 | history | edited | Chris Cunningham | CC BY-SA 4.0 |
fixed formula at the end
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| Dec 31, 2021 at 19:12 | comment | added | Sue VanHattum♦ | @IbrahimOmer, if you think it's wrong, please explain your thinking. | |
| Dec 31, 2021 at 14:19 | comment | added | Thierry | The $1/3$ can ultimately be explained by breaking a triangular prism into 3 pyramids of equal volume (this is how Euclid does it in Book 12 Proposition 7 of Elements). To go further and get the volume of a cone requires, well, calculus type stuff like increasing the number of sides of the prism and something like Cavalieri's principle (Euclid does this too) so it's not like it's especially easy, but at least it explains the $1/3$. | |
| Dec 31, 2021 at 10:25 | vote | accept | Ibrahim Omer | ||
| Dec 31, 2021 at 7:21 | comment | added | Ibrahim Omer | Excellent explanation, but I think you got it wrong, 'H' should be in numerator rather than in denominator. | |
| Dec 29, 2021 at 8:00 | comment | added | Sue VanHattum♦ | (Note1: This is my first time using latex so much in an answer here. It took me some serious work! Note2: If you have objections to my "infinitely small" terminology, you're welcome to suggest edits, but please make sure that they keep my explanation just as clear.) | |
| Dec 29, 2021 at 7:57 | history | answered | Sue VanHattum♦ | CC BY-SA 4.0 |