How to draw a regular heptagon knowing the length of one side
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- Опубліковано 5 кві 2017
- How to construct a regular heptagon given the measurement of one of its side, using a compass and a 30-60º set-square
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To clear up some confusion; this specific method is NOT a way to construct a heptagon. The author should have included the comment that it is "almost" a heptagon. This method is an approximation method. The last side will be slightly different in length due to this approximation. This method is the standard way to "approximate" the heptagon.
I agree with you. The author never actually showed us the imterior angles to prove it was a perfect polygon.
Thanks, this worked great. I am creating real 3D paper prisms and this will help me create the base. With a 35mm side I produced a heptagon using very crude protractor and a HB pencil with was less than .5mm discrepancy. A tolerance more than adequate for my needs especially on such a tiny scale and even with the discrepancy I can build that into my construction, aside from which, observing any such error is impossible to the naked eye.
Thank you. Please keep up the good work
why we need to draw a 30 degree and an arc AN to meet with the perpendicular line of AB to get the centre? can help to explain? thank you so much
Thanks it helped me for my Designed and Communication Homework
Thank you, it helped a lot
Thank you, it helped me a lot
Thanks a lot!!! It really helped me.☺
Lots of thanks
Yes
thanks a lot
Thanks sir
Thanks a lot it really helped😊😊
Thank you💞💞
This video was helpful. However, you should include how and where does the measure came from so that it's more clear, especially to us students who doesn't have any idea how to do this
Thank u, it helped a lot 😊😊
Thank you so helpfull
thank you so much
Is this the general method
Thank you soo much😍😍
Thx it really help for my homework
Can you do it without the protractor (just a compass and straight edge?
Nope, soz: ua-cam.com/video/O1sPvUr0YC0/v-deo.html
Unfortunately not.
Every regular polygon with a prime number of sides is not constructable with only a compass and straight edge unless its number of sides is equal to a fermat prime.
A fermat prime is a prime number in the form of 2 to the power of 2 to the power of "n" (insert non-negative whole number here), such as 3, 5, 17, 257, 65537...
In fact, these 5 aforementioned fermat primes are the ONLY ONES known to humanity as of now.
The proof of the impossibility of the construction of a heptagon just using a compass and straight edge is part of the Gauss-Wantzel theorem.
For more info: Wikipedia - Constructible Polygon
God Bless
By the way, the construction in the video is a very close approximation, but not exact.
Ye it is possible cuz it is 30° degree. So you just need to make a 60° degree angle and just divide by 2 so you will get 30° degree angle.
@@InnocentOne933 exactly. Using a protractor is cheating
Good morning> I have a question please explan the use of 30 deg angle
What is that measurements one side
What is the length of the side line
This heptagon is wrong. Because of Galois Theory, there is impossible to make perfect heptogon by using compass and ruler.
It's a pretty valid approximation if you draw it by hand.
Thank you
But why 30 degrees?
I am trying to make now
I like that
Is there a proof of why this works somewhere?
How do you know how big to open the compass at 2:15
exactlyyyyyyyy
Is this mathematically accurate?
thank you it helped a lot
nice but heptagon is unconstructable but it can be constructed by neusis
helpful
i guess most are here because of there lesson? on how to make a specific polygon? and forgot how to make them so decided to watch here? lmao
it also helped an all of my polygon creating lessons xd
Please my circle is not touching both points only one point,I mean point A and B
I call your bluff!
Make it easier, here you have some siberian children doing their homework from school
and you have malaysian kids too
They slightly error when drawing
Gauss-Wantzel prove that Heptagon is not constructible polygon since 17xx , this is just approximation , not Exactly heptagon.
Is this approximate?
Yes, it is
I TRIED IT 5 TIMES, BUT I'M ALWAYS OFF A FEW mm.
I also tried it 7 times but it didn't work
Equilateral
Not specific enough
What is method
mujhy pata ni chl rha h k u ny compus kini open ki h
Op
Not sure yet !!!🙄🙄
I got a hexagon 😭
BAJAN WHAT ARE YOU DOING
This is smort
The video gives you the impression that it is this easy to construct a perfect heptagon. The constructed arcs and lengths look so precise and perfect. BUT THEY ARE NOT.
You have not created a perfect heptagon. Readers should do some independent research about regular polygons that are not constructable.
Not good