Timeline for Constructing the inverse of a number geometrically.
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 4, 2015 at 15:26 | vote | accept | user153330 | ||
| Jan 4, 2015 at 15:21 | comment | added | Blue | I believe the image's creator may be Tumblr user curiosamathematica, aka Jens Bossaert. | |
| Jan 4, 2015 at 15:12 | answer | added | Blue | timeline score: 4 | |
| Jan 4, 2015 at 14:26 | comment | added | user153330 | @Blue okay write an answer then so that i acccept it (also why are those two triangles similar), i found it in tumblr | |
| Jan 4, 2015 at 13:17 | comment | added | Blue | By the way: Where did you find the original diagram? It's pretty neat, so the creator deserves some credit. | |
| Jan 4, 2015 at 13:13 | comment | added | Blue | The original diagram actually shows the process for $a \leq 1$ as well; simply relabel the points $a \leftrightarrow 1/a$. (Your version effectively duplicates this logic.) For proof, merely consider "long leg over short leg" proportion for the red right triangle in its two extreme positions: the big right triangle has "long-over-short" = $\frac{a}{1}$; the small right triangle has "long-over-short" = $\frac{1}{1/a}$. | |
| Jan 4, 2015 at 13:09 | history | edited | user153330 | CC BY-SA 3.0 |
edited body
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| Jan 4, 2015 at 13:04 | history | asked | user153330 | CC BY-SA 3.0 |