Thanks for the clear explanation! It makes sense, but I'm still coming up about 5mm short. Probably cheap tools, but I love geometric art.

This is the fourth or fifth video I watched on this procedure and the only one that explained it clearly. As a former math teacher, I noted differences in the videos. There are those who don't know what they are doing, those who know but can't explain it, and those who know what their doing and can teach it. Arthur Geometry is clearly in the latter category. Thank you.

I'm 70 years of age and remember very little of my high school geometry, but I did remember there was a way of dividing a circle into equal parts using a protractor--I just didn't remember how. Thanks for this easy-to-understand video.

I came up with an equation to do the same thing in this video for those who don't draw well like me. You just need to identify the radius and the side of the pentagon and you're done. It also works on any polygons. Idk if it's been discovered already or what but it works well for me and saves me a lot of time.

You are the best. After trying different gurus; you were the only one i could follow without hesitation.

Thank you for this simple and clear explanation. I learned how to do this when I was in middle school (nearly 60 years ago!). I've been looking for this method for years. Today, I Googled it and I had to wade through eight pages of methods using a protractor. Thank you again for posting this!

Just what I've been looking for. Excellent. I will use this very accurate method to produce wooden knobs that have 5 "fingers". Thanks so much

Thank u soooo much !😄 We had homework where we had to draw 12 of these all the same size . I couldn' figure it out until I stumbled across ur vid. And now ... I DID IT !

Thank you for explaining,I have an exam tomorrow,so this will help me atleast get few of the points! :D

Heheh I thought the intro was how to draw a pentagon

thanks bro,it helped me for the test and the homework

Thank you so much, it help me a lot , 🤗 , doing my homework ,

It makes me feel easier to construct pentagon thanks for your help

Brilliant! I've often wondered how to do this, thank you! I would love a proof of why it works.

Thankyou you have made me learn a simple and accurate step in drawing pentago

Thank you so much bro..... Lots of love from India

This one doesn't seem to stick inside my head too well. Good thing I have such an excellent reference to fall back on.

tip: when constructing the middle point of the radius you can just point in R with the compass radius OR and drawing arcs that intersect the circle with center O, and connect the intersections. this removes the steps of using a different radius and drawinng another arc.

thanks alot i have exams on this tmrw and your video was simple and easy

Thank you very much! I can now make my 5 pointed star for christmas decorations! :)

Thank you for that, someone bought 6 downlights and wanted one in the middle and the remaining 5 equispaced around a circle, trying to figure out how to get the holes in the right place whilst MISSING ALL THE JOISTS was a real headfuck... Thanks again, amazing what you can do with a piece of string and a pencil

Finally…i’ve found a video explaining the same way my prof does 😭 thank you!!

Dayum! nice vid really made it easier for me to understand how to construct it. You earned a sub!

I would suggest in physical application to go both directions from A to B and A to E. Since you already have the end of the compass point at A, then use it twice, once in each direction. Then use the compase to go from B to C and then E to D. And check the distance between C and D to confirm. By going around A to B to C to D to D you increase the chance of an additive error being more pronounced. By splitting the directions you cut any error in half. Also the audio was a bit loud on my computer.

Simple. Elegant. Clear. I could listen to your voice all day. :-)

Thank you so much for the great explanation. It overlapped perfectly :D

oml tysm for real, i got an exam tomorrow and thanks to u I learnt how to do the mtf pentagon 😥

Thanks for this video. It would be simpler by ignoring line I and Point B & E can be drawn at the same time from point A.

OMG THIS WAS SO HELPFUL

Thank you for your kind information.🙂

I remember doing this over 50 years ago in high school technical drawing class. It was just a procedure with no understanding of what the parts of the construction was. Nobody pointed out that the length of the diagonal from the middle of the radius to the top was the square root of 5. And then, the transfer of the length to the other side, marked a point where the length to the top was equal to what? I'm guessing that length would be the golden ratio. I don't know; I haven't done the mathematics yet. Excellent video of the drawing of a pentagon.

fast, simple, accurate. good video.. sound could be better :D .. ty v much

Cuándo tu profe de plastica no enseña nada y tienes que ver estos vídeos. PD: Thank you very much,such a great video

this is spectacular 😆

Sir you are superb i lile your classes very very very much😘

Thanks, it helped me a lot.

Thank you great video!!!

You Saved me man thanks a million

Thank you , it's very clear

What a easy idea todraw such a construction

Nice explanation and clear too thanks sir

Thanks a lot. That help me in my technical drawing class.

Thank you so much!! We have engineering drawing this semester, and I couldn't understand a thing at classes... You're an ED messiah!! 😭

Thanks This was the clearest I saw

excellent video,thanks

Love to know *WHY* this works!!!

thank you so much!

Thank you so much for this video

best method I've seen. I took drafting in high school so this relates to my way of thinking better than other vids on the same topic. elegantly simple...good job.

very simply done

Nice video and thanks

Thank you for your video..

For the sake of efficiency mark points B & E at the same time and confirm DE instead of EA, also no reason to label points O & P since you're not using them. Also a square is usually used to denote a right triangle/perpendicular intersection, but that appears to be a software issue.

Thank you this was very helpful!

Thank you! :)

Nice man

Thank you so much.

Thank you!

AMAZING video,I'm leaving like and I subscribed I love channels like this,this helps me so much, thanks!

Hi Arthur, Nice explanation but you could have put in some of the maths involved such as the root (5/4) ratio (or root 5/2 ) of the scribed arc AS to the radius of the circle. My technique involves using the root 5 on 2 length and adding 1/2 to it along the horizontal axis QR such that SR = root 5+1 on 2 or Phi (approx 1.618034) Then by using this length as your compass radius and setting the needle at point R you can draw an arc that touches the circle at 2 points above and below the diameter QR forming 2 of the pentagon points. These points are + and - 30% of the circumference from point R. By resetting the compass to give root 5 - 1 on 2 (= phi or 1/Phi) by setting the compass to the length of the line SO and again placing the needle at point R you can draw a smaller arc touching the circle at 2 more points which defines the base of the pentagon. The final point being point Q the smaller arc defines 20 % of the radius, as do all other sides of the pentagon. Using your diagram and my additions the pentagon 'points' to the left of the page. This can be corrected so the pentagon points vertically by finding the midpoint of OP instead of OR and using either points Q or R to find a new S point on the vertical axis and replacing point R with P in the above paragraph. 🙂 A simple way of describing these techniques is to say that: For any given point of any circle, radius = r, a perfect pentagon is defined by points that are a straight line distance of phi.r (0.618r), Phi.r (1.618r), and 2r from the starting point. Using a 2 x 1 unit rectangle with a 1 unit diameter circle at it's centre and the diagonal of the rectangle gives a clear understanding of how Phi and phi are discovered in this very simple diagram.

Nice explanation bro and nice video I like it 💖

Nice explanation

Thanks nice video 😊

wow, this is the best I have watched so far, thank you so much.

Thank u very much

Thanks!

Thanks it is helpful to me

Ty!

Construction will be clear and easy if he constructs center angle (for pentagon measure of this angle equals 72 degrees) With basics of trigonometry we conclude that golden ratio is useful to construct this angle

Thx for help

Very nice

Thanks for a classes

I have a 9 on my visual arts class thanks!!

thx dude..

Thank you

Thanks for your time

Hello Auther, I know you mainly doing the Geometry in these videos and yes good its to see! but I would just like to ask you out of my own interest, if the diameter is divided by 1.618 will it be equal to the required length of each side?

LOVELY

thank you so much because of you I have understood it clearly thank you thank you so much for the help that you provided😊😊😊😊

nice ty :D

Just saved my Geometry grade

When he say radius MA the first thing that comes to my mind was young MA !

Thank u master

thanks very very very much for this video without it I would have the midterm today

ty :)

Noting on this change helps me

For some reason I’m always having troubles with my accuracy drawing a pentagon. The construction is clear, I even tried other ways, but the last test is always if the distance between the last two points is the same as the distance of the other 4 points. I’m always fighting with a gap of about one or two millimeter. Any hints?

awesome

thanks ,cool

Thanks

This is the easiest way to construct a Regular Pentagon, while keeping everything inside the unit circle... BUT There is no explanation for why line segment 'SA' is the correct side-length of a regular pentagon. We can certainly confirm that the length of 'SA' is equal to √((5-√5)/2) via Pythagorean Theorem, and we can use the Golden Triangle and the law of cosines to calculate that the side length of a regular pentagon inscribed in the unit circle is equal to √((5-√5)/2), but there does not seem to be an intuitive way to arrive at this construction without using a brute-force trial-and-error method. Did this construction just fall from the sky?

Thankyou

Thank You So Much

It seems that this is an approximation too. The side of the pentagon is supposed to be twice of sine 36 degrees of the radius. The side generated here is half the radius times √(10-2√5) which is 0.000 000 000 000 0077 percent larger which anyway is almost insignificant. :D Twice of sine 36 degrees by the way is approximately 1.1756 for those who want to do a shortcut.

Good classs

how do we KNOW that line segment AS has the length of a side of the pentagon?

What ratios derive a pentagon or pentagram from a typical 6 pointed star (metatrons cube) or a sphere? Ratio is just a measurement corresponding another measurement. So in other words, what is the number in degrees:degrees and mm:mm?

Thanks a zillion!!!!!!!!!!!!!!!!!!!!!

i get A tnxs bro for ur help

what are you using for your geometry online pls tell us