How to divide a circle into seven equal parts
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- Опубліковано 3 бер 2020
- Learn how to split a circle into 7 equal sectors and how to construct a regular heptagon inscribed in.
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Super helpful for what I'm about to do! Thanks so much!!
You did an excellent job of explaining how to divide a circle into 7 equal sectors, which is exactly what you titled your tutorial. I have no idea why this works, but that wasn't the question. Thank you!
I am completely math/geometry incompetent. Thanks for a beautiful explanation and illustration.
Short, sweet and to the point. Well articulated and explained. Thank you. Peace.
This helped me a lot on a manual artwork I'm doing at a coffee shop. Thanks for explaining it very straightfoward, no bullshit.
How is QM equal to length of the individual 7 arcs on the circle?
Thanks it helped a lot ❤
YOU ARE A REAL GENIUS
super easy! Thanks a lot
Space between Point E & D seems like less than all the others 🤔 i was actually using it for a diagram and when i put objects on each points. The bottom objects are closer to each other than the above ones.
thank you so much.
Thank you so much 💗
useful thanks
Very nice
Thank u so much
Thank you
I’m still on the advertisements and I can only imagine years-centuries ago how one would ponder to then if just so finding out on there own
Sorry, but this doesn't seem right. The heptagon is not constructible with compass and straightedge. When you 'close it' I don't think it actually closes. It only looks so because the length of your 'sides' is very very close to what it should be (they have length approx. 0.8660 and should have length approx. 0.8678). You can read more about this here: en.wikipedia.org/wiki/Heptagon .
Thank you, both Arthur Geometry and Pedro Silva, I like this so much, both the drawing and exact maths!
Thank you both, and all the best to you.
Why are not accepted this drawing was perfect
Hi, it's not perfect because its logically not correct.
But of course its still very practical and beautifull.
But mathematically its not correct, as shown in the Wikipedia-link shared above.
Wishing you all the best.
ну хоть кто-то написал, что это некорректное построение. благодарю.
Does line segment QS make the base of an equilateral triangle with point A? Please and thank you!
Yes
Thank you for all your work
Very help 🌝🌝🌝🌝
V
I did this with a pizza, and then an 8th person walked into the room.
🤣
wow. this is awesome. I made this great
how many cm is it
Does not work for me
yes that's true
Not working for me. My last segment is way bigger than the rest.
Hold on, it does work out. When you go back to "A" for the second time, just keep going around in the same direction rather than changing as he did here.
Sir, the Gauss-Wantzel theorem doesn't allow to construct a regular 7-gon with only compass and straightedge as 7 is not a Fermat prime. Please use neusis instead.
Worked for me. I don't care what he calls it.
I was looking into the comments section for this. I had convinced myself that doing this was impossible but then this video made me doubt my own internal proof. So glad to see that there is actually a proof to represent my thinking.
I'm probably the only one who is going to thank you for this as there can't be a whole lot of regular folks who sit around asking which numbers can not be represented by secants who's areas are a sum of rational fractions of the whole circle.... (not sure if that is really the proof or not but that's how I thought of it in my head). The babylonians used base 60 systems but must have thought the number 7 was amazing because you needed irrational numbers to to divide a circle evenly into it. Whereas every other number up to 12 could divide a circle cleanly without irrational numbers. Briefly while the number 9 also does not fall into the Gauss-Wantzel theorem either... 1/9th is still a terminating decimal in base 60 whereas 1/7th is not. Makes you feel that there should be a way to divide a circle into 9 even parts, but apparently there isn't without the use of a ruler.
Anyways this response has helped resolve the last 45 minutes of my mad wonderings.
You are welcome. My understanding is that this simple method was developed for or by people who are in hurry to construct a heptagram for warding off evil. They don't care that the devil is always in the details and because of that their 'magic' usually doesn't work. Joking aside, in my practice this method is more precise than using a neusis as it takes skill. To construct a regular 9-gon you are about to solve a classical angle trisection problem using neusis, tomahawk or else: it can be done precisely as well. Up to 12 there is also a regular 11-gon which is hard to construct too. Why 7 is miracle number, not 11? Psychologists believe that 7 plus-minus 2 rule can be an explanation. Writing this I was stumbled on a recent mathematical paper from Mathematical Proceedings (2014) where authors prove that a regular 11-gon is constructible by neusis and compass. Wow! By the way, I'm not in the position to understand Galois theory in that proof, so you are better to go through it by yourself.
Thank you sir. you are my Messiah😅❤️. Thank you again.
360° is not divisible to 7. Therefore you may draw an approximately evenly divided 7 ray star.
hayup na module
Its very close helpful but sorry that it is not perfect
you never explain WHY this is, & HOW we may modify it for 8, 9, 10 slices. you only explain how to make the one. this isn’t as thorough as it could be.
It is not perfect. Something wrong
Not posebel