@yataqii: Take any triangle — literally any shape. Now mark the midpoint of each side, the foot of each altitude, and the midpoint between each vertex and the orthocenter. That’s 9 seemingly random points scattered around. The magic? They ALL lie perfectly on one single circle. Euler spotted pieces of it. Feuerbach proved it in 1822. And it works for every triangle ever drawn. #Geometry #Mathematics #MathIsBeautiful #NinePointCircle #datascience
But the perpendicular lines you draw I don't seem to have anything with the defining the middle of the first line, so I don't understand what you mean by perpendicular
2026-04-28 21:47:00
7
quo :
where is the center if this circle?
2026-04-27 20:50:28
16
NameNick :
how do you determine where the yellow dots must be put
2026-05-03 19:37:36
0
Chris Thompson :
Geometry?
Wouldn't this fall more into the Trigonometry sector???
2026-04-29 02:54:39
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Michael Stewart, Author :
Does it work on any triangle?
2026-04-28 11:01:21
2
Mr. Door :
This we learn on the Xth grade.
2026-04-27 17:59:12
6
prvirod :
how do you find center? it's not easy to draw perfect circle without it's center.
2026-05-22 19:47:41
1
tiktokcashcode :
Never heard before, great stuff. Where is Pythagoras when you need him? 🤣😂
2026-04-27 16:51:45
4
Tommy :
Euler was the man. e^ipi + 1 = 0
2026-04-27 16:57:41
5
ForOurCountry :
NOW see if π can be used to get the total sides of the triangle. OR divide π by 9 and that will equal any of the three points as long as you choose congruently
2026-04-29 04:53:26
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Jalin :
2 of those vertex lines are not midpoint to the orhocenter. so something is wrong either with the explanation or it.
2026-04-29 01:47:51
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jeffreystewart785 :
Damn cool
2026-04-29 20:17:33
1
Sloppy Joe :
Super cool. I love geometry. Is there any practical application of this, or just some elegant math?
2026-04-28 02:24:04
4
1Guitpkr :
Circle/points looks a bit like Stonehenge.
2026-04-27 22:48:29
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BigTimeNonsense :
I see the Deathly Hallows
2026-04-29 05:43:03
0
QuantumPeanutButter PYNC SYNC :
Oh that is beautiful
2026-04-27 12:32:01
7
Shawn :
Yes cool
2026-04-30 22:42:08
1
Eman-dingo :
So, is that the in center of that circle also the balance point of the triangle??
2026-04-27 21:09:26
2
VACH :
Moist
2026-04-28 07:35:18
1
lupefigo :
what did I learn? not a danm thing
2026-04-29 09:46:06
1
Jimsud :
now...
what is the relation of the Orthocenter to this circle???
2026-04-28 08:08:50
1
justagoatherder :
It also follows the 3, 6, 9, pattern as repeated often in the Bible as well as mathematical/scientific patterns.
2026-04-29 04:08:39
1
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