How to draw a regular pentagon knowing the length of one side

  Рет қаралды 1,002,032

Arthur Geometry

Arthur Geometry

8 жыл бұрын

Regular pentagon given the measurement of one of it´s side, using a compass and a 45º set-square.
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This KZfaq channel is dedicated to teaching people how to improve their technical drawing skills. It focusses on drawing figures from the geometric plane to descriptive geometry and also different systems of technical drawing representation.
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Dubbed by Frank Shaw.
Music by Antonio Fernández Ruiz. antoniofernandez.es/
#Geometry #HowtoDraw

Пікірлер: 228
@arthurgrunwald3859
@arthurgrunwald3859 5 ай бұрын
Thank you very much for your wonderful video! it is so brilliant! Since not all methods are exact, I was curious to find out whether the angle QBC is indeed 72 degrees. So, I tried to proof it as follows: First, use the right-angle triangle MBP to compute the length MP. For clarity, denote the base AB = b. This yields MP=0.5*b*sqrt(5). We now compute the length AC which equals AQ. Since AQ = MP + 0.5*b, it follows that AC = 0.5*b*(sqrt(5) + 1)). The triangle ABC has a base length of AC and two equal sides of length b. Using the cosine rule: AC^2 = 2*b^2 - 2*b^2*cos(gamma), where gamma is the angle ABC. This yield cos(gamma) = 0.25*(1 - sqrt(5)).= -0.3090. gamma = acos(0.3090) = 108 degrees. The angle QBC is then 180 - 108 = 72 degrees. It remains to be proved that point D is indeed the top of the pentagon. This is proved by the fact that the triangles ABC and BCD are congruent and thus BC = CD. Arthur, in contrast to other methods, your method is exact! Thank you again for your crystal-clear video which inspired me to do this exercise with tools we learned 50 years ago. Let me know if I missed out on something.
@enma_nexa
@enma_nexa 6 жыл бұрын
I got scared looking the intro , i though it was the actual construction😂
@meghanworkman6449
@meghanworkman6449 6 жыл бұрын
I'm glad it wasn't just me lol.
@ericwu6571
@ericwu6571 6 жыл бұрын
lol
@mickelplays9386
@mickelplays9386 6 жыл бұрын
Lol good one
@collinsusiade4054
@collinsusiade4054 6 жыл бұрын
Heptagon
@fredricholst5362
@fredricholst5362 6 жыл бұрын
Shaikh Shoeb HAHAHAHA i agree
@mildmanneredmercifulmouse1839
@mildmanneredmercifulmouse1839 3 жыл бұрын
This is BETTER than watching a Hollywood blockbuster movie.!!
@deckiedeckie
@deckiedeckie 6 жыл бұрын
Great.....to see how KZfaq can be utilized to do useful stuff....
@indranilkundu9101
@indranilkundu9101 2 жыл бұрын
I have to draw all the polygons from 3 sides to 8 sides for my project. Your videos really helped me. I couldn't have asked for a better tutorial. Thank You sir.
@stephonramsaran7704
@stephonramsaran7704 2 жыл бұрын
awesome video helped me so much god bless ya bro
@official_Azmath
@official_Azmath Жыл бұрын
🙏💕 thank you you help all students👦📖🎒👦📖🎒👦📖🎒
@user-wl7ot8lr5p
@user-wl7ot8lr5p 8 ай бұрын
Thank you sir apne mere submission me help ki 🤗
@robertoyllia8373
@robertoyllia8373 3 жыл бұрын
you are the best one
@shirafields244
@shirafields244 4 жыл бұрын
I needed to make a pentagon with 5” sides for my 3D art class and this was extremely helpful; turned out perfect. Thanks!
@Varadpatil924
@Varadpatil924 Жыл бұрын
Thank you so much
@FUNKINETIK
@FUNKINETIK 3 жыл бұрын
So interesting, I can see how this works now. From the line AB you have determined the point Q. The line AQ is the golden ratio (Phi) of AB. The opposing corners of a pentagon e.g. line AD is the result of multiplying the side length of the pentagon by Phi (1.618....)
@ochembachinwendu7113
@ochembachinwendu7113 2 жыл бұрын
Bruh🙄
@dorcaslagracetiche4639
@dorcaslagracetiche4639 4 жыл бұрын
Wowwwwww. It actually works. It's like magic.😮. May God bless you😇 and Thank you sir.😋
@tugalgito
@tugalgito 2 жыл бұрын
OMG! this type of videos are amazing for do arts homeworks.
@KeeperofTheMountain
@KeeperofTheMountain 6 ай бұрын
I am building a 5 sided cupola to go on a pentagon shaped gazebo. It is an inverted radius conical cupola. I needed this one formula to lay it out. Thank you.
@bibibacchus4059
@bibibacchus4059 3 жыл бұрын
Oh wow, it turned out great. Thank you so much !!
@sunilchristian3430
@sunilchristian3430 3 жыл бұрын
Thank you!
@xx_cuddlyclouds_xx5733
@xx_cuddlyclouds_xx5733 3 жыл бұрын
Thank you Aurther Geomitry!!!You helped me with my module in my math!it was so hard until I saw this!!😄😄😄
@rrkanb
@rrkanb 3 жыл бұрын
Love from Nepal
@Satoru_Gojo36817
@Satoru_Gojo36817 4 жыл бұрын
Thanks for your tutorial.
@iukaz8682
@iukaz8682 2 жыл бұрын
LEGEND!!!
@hibeelhachasan1232
@hibeelhachasan1232 5 ай бұрын
Thank you very much ❤
@billyspencer7325
@billyspencer7325 4 жыл бұрын
This was a tough one kept getting confused over the changing radius and where to put the compass point, had to rewatch a fair few times
@christellebosch6008
@christellebosch6008 3 жыл бұрын
Thank you it helped ma a lot
@jacklinemmaduagwu8037
@jacklinemmaduagwu8037 3 жыл бұрын
Omg so simple and easy. I got it on the first try. Thanks.🤗🤗
@CHANVER_07
@CHANVER_07 Жыл бұрын
Thanks!
@Jacobballeez
@Jacobballeez 3 жыл бұрын
Im doing technical drawings and I missed this class so thank you
@rosaliavadeliveiwase613
@rosaliavadeliveiwase613 2 жыл бұрын
Thank you so much sir....26/10/2021....Really help me with my school work
@Jacobballeez
@Jacobballeez 3 жыл бұрын
Sir thank you very much
@olliegibbons843
@olliegibbons843 4 жыл бұрын
A god amongst men,thank you
@andymarkle465
@andymarkle465 6 жыл бұрын
enjoy this pentagon is very beautiful, thanks very much. cute pentagon!
@deathwalker8730
@deathwalker8730 7 жыл бұрын
Thank u so much have a test tomorrow and this helped me loads fam thanks
@bhupeshshah272
@bhupeshshah272 8 жыл бұрын
This help me a lot in my submissions
@6rw1b
@6rw1b 7 жыл бұрын
Finally found one that works, much appreciated thank you so much!
@Jacobballeez
@Jacobballeez 3 жыл бұрын
Rlly appreciate it
@Narja23
@Narja23 3 жыл бұрын
thanks you, it's so helpful
@elim.8315
@elim.8315 2 жыл бұрын
THANK YOU SO MUCH u explained it so well
@garyriegelsberger4208
@garyriegelsberger4208 6 жыл бұрын
Awesome! Thank you for taking the time to create this video and post it. This is the perfect information I was looking for that will allow me to construct my device.
@marc_0
@marc_0 3 жыл бұрын
I've been saved Thank youuuuu
@gayymdw486
@gayymdw486 2 жыл бұрын
Ah seriously, thank you so much. I've already watched two of your videos and it's been going great! Taking Tech Draft class was probably a bad one on my side but I can't help but try to widen my knowledge at some point.
@ebrimasamba8277
@ebrimasamba8277 4 жыл бұрын
Nice man
@chelseakarimi2690
@chelseakarimi2690 4 жыл бұрын
Was stuck on an assignment and this helped me out. Gracious 😇
@noxie_nay
@noxie_nay 2 жыл бұрын
Let me guess you're here because you have an EGD exam coming soon I know...I know same reason
@starkiller1228
@starkiller1228 6 жыл бұрын
Thanks man, your better than my teacher
@sfisosmall6226
@sfisosmall6226 3 жыл бұрын
Thank you this will help me on my drawing s
@Kitsomia
@Kitsomia 6 жыл бұрын
That's Awesome, I always wanted to draw a pentagon without using a protractor.
@poorvanair3666
@poorvanair3666 3 жыл бұрын
Ommmggg ur a live saver !!
@TheOriginalKidCoyote
@TheOriginalKidCoyote 6 жыл бұрын
thanks! worked for me
@goldenadhd3149
@goldenadhd3149 5 жыл бұрын
4 years later and you're helping me pass my last year of school
@indt1648
@indt1648 7 жыл бұрын
very useful, good job
@leonardmcoy3001
@leonardmcoy3001 7 жыл бұрын
Helped a lot thanks
@hrishikeshtambe4332
@hrishikeshtambe4332 5 жыл бұрын
Thankz alot....u really explain very well and it's very easy to understand
@Kholanee
@Kholanee 2 жыл бұрын
Oh you GODSEND
@tronrevel7751
@tronrevel7751 6 жыл бұрын
Pentagon process is lit
@siddharthrevankar3474
@siddharthrevankar3474 5 жыл бұрын
thank you very much for your easy tutorial!
@dimplematutino
@dimplematutino 3 жыл бұрын
Thank you so much!😊✍
@milos-nq1lm
@milos-nq1lm 8 жыл бұрын
Thank you
@spole1699
@spole1699 8 жыл бұрын
Very helpful
@pururaj2920
@pururaj2920 4 жыл бұрын
Very good and easy steps
@sarthakchavhan
@sarthakchavhan 2 жыл бұрын
thanks you
@Konijvis
@Konijvis 6 жыл бұрын
thank you, keep up the good work in teaching and helping students.
@tdrawsa
@tdrawsa 5 жыл бұрын
Great work! Thank you.
@marikanaseidu3884
@marikanaseidu3884 3 жыл бұрын
thanks for this video
@sanjeet_art_205
@sanjeet_art_205 2 жыл бұрын
Thank you so much sir... 👍🏻
@theopokashimba2897
@theopokashimba2897 3 жыл бұрын
Wonderful... this is so helpful, i have been struggle to draw a pentagon now i got it exactly. Thanks more your video helped me out.....
@denceldeguzman7189
@denceldeguzman7189 Жыл бұрын
thankyou
@asamikimura5584
@asamikimura5584 6 жыл бұрын
Thank youuu❤❤
@chrystopherluke1261
@chrystopherluke1261 7 жыл бұрын
I have a hmwrk assessment to do and this helped a lot
@rhy4551
@rhy4551 7 жыл бұрын
Phyc Ward SAME.
@nerminsejdinovic8696
@nerminsejdinovic8696 3 жыл бұрын
Thanks a lot, Sir! Really helpful and easy to learn.
@ratulhasan7136
@ratulhasan7136 5 жыл бұрын
Sir, Thank you so much. Because I was badly in need of a Pentagon. This video is easier than others.
@sumitabasak9244
@sumitabasak9244 4 жыл бұрын
Right
@sumitabasak9244
@sumitabasak9244 4 жыл бұрын
You say right
@nkosinathidhlamini2791
@nkosinathidhlamini2791 4 жыл бұрын
Very helpful thank you
@splendor10
@splendor10 2 жыл бұрын
Intro🔥🔥🔥🔥🔥
@Pantydropper8374
@Pantydropper8374 5 жыл бұрын
waoooo... thank uuuu sooooo much buddy... great help.... great help....
@daygelguzman944
@daygelguzman944 3 жыл бұрын
Super it helped me a lot
@tronrevel7751
@tronrevel7751 6 жыл бұрын
really helpful
@harshavarthinisr6240
@harshavarthinisr6240 3 жыл бұрын
Thank you so much ✨
@thekoreanspace272
@thekoreanspace272 6 жыл бұрын
understandable video, nice
@swapnilrai1168
@swapnilrai1168 4 жыл бұрын
Thanks it was awesome
@tinomutendabrian6777
@tinomutendabrian6777 4 жыл бұрын
Clear information
@siyasundriyal9543
@siyasundriyal9543 5 жыл бұрын
Sir...this video is good
@mohitpanchal2023
@mohitpanchal2023 6 жыл бұрын
Thank you very much sir
@justjona3260
@justjona3260 3 жыл бұрын
Sick bro
@sophiesallows5456
@sophiesallows5456 4 жыл бұрын
This was very helpful. thank you :)
@M_R_H_Rokib
@M_R_H_Rokib Жыл бұрын
Please give us a video on "Drawing Pentagon Using Perpendicular bisector method"
@ArthurGeometry
@ArthurGeometry Жыл бұрын
Copy that. Thanks!
@M_R_H_Rokib
@M_R_H_Rokib Жыл бұрын
@@ArthurGeometry Welcome 🥰
@gurmanjotsinghgrewal4741
@gurmanjotsinghgrewal4741 5 жыл бұрын
Thanks for video
@mesapetr9985
@mesapetr9985 3 жыл бұрын
Thank you sooo much
@arushiarya2190
@arushiarya2190 3 жыл бұрын
Thanks a lot for this my Pentagon turned out perfect!
@raven1742
@raven1742 6 жыл бұрын
Thank you so much man i love you Fun fact: i am from italy and i understood YOUR explanation and not my teacher one LOL
@idlanbruhanuddin9447
@idlanbruhanuddin9447 5 жыл бұрын
thnx......i actually know a method tht can draw a pentagon too easier though...but i cannot remember.....it all starts w/ cross and circle.....but urs are a bit complex but still easy to understand....
@sumanmajumdar2367
@sumanmajumdar2367 7 жыл бұрын
Thankyou
@spring74light
@spring74light 6 жыл бұрын
A very interesting construction. Thank you for it. Have you a geometrical proof that ED and DC are equal in length to AB?
@anneludlow
@anneludlow 6 жыл бұрын
They were constructed with that length on the compass!
@spring74light
@spring74light 6 жыл бұрын
Thank you for your Reply. With respect, if you look on from about 3:30 you will see that points C and E are each located of by the intersection of 2 arcs, one of which has radius (AB), and the other an arc of greater but unspecified radius passing through point D. DC and DE are not directly referred to distance AB.
@spring74light
@spring74light 5 жыл бұрын
@glyn hodges Sorry, I have been 'off-air' for a while and have just discovered your detailed and comprehensive Reply. Thank you. I look forward to following through your reasoning, and will respond in due course.
@bansalsanitary8885
@bansalsanitary8885 3 жыл бұрын
kzfaq.info/get/bejne/npueiJmnl9aZgas.html Please watch like comment
@user-jn6db5gw2t
@user-jn6db5gw2t 5 жыл бұрын
tqsm
@carax4673
@carax4673 6 жыл бұрын
Thank u so much
@generalmalhar6777
@generalmalhar6777 7 жыл бұрын
Very helpfull
@i_observe9846
@i_observe9846 2 жыл бұрын
FINALLY
@haydentaylor5250
@haydentaylor5250 5 жыл бұрын
this is gonna take a bit to make a dodecahedron for my purposes, but thanks alot!
@seamusmcardle2610
@seamusmcardle2610 3 жыл бұрын
first class instruction,thank you.
@vedantsingh5089
@vedantsingh5089 5 жыл бұрын
Thanks
@shreyashpatil4319
@shreyashpatil4319 5 жыл бұрын
Nice sir 👌
@riyankpatel9410
@riyankpatel9410 5 жыл бұрын
Thanks sir
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