Breaking the Cycloid: A Geometry Problem

[LearnPlaySolve]

When Galileo discovered that the ratio of the areas of the cycloid and circle was 3 to 1, he initially thought that it was actually π to 1. He assumed that the small discrepancy was due to the precision limits of his scale.

[juniorcyans]

It's already over 1 am and I'm still rushing my physics homework. To understand cycloid, I found this video. I liked it and I subscribed!

[ahmedbloul]

Extraordinary video, what a joyful watching you.
Thank you very much

[odysseytkl]

This video is amazing, top tier. No idea how you don't have more subs

[DavidAAA]

Amazing explanation, keep up the good work, humanity will thank you

[TheJara]

Hi man
I just discovered your videos few days back, superb video math content...
Amazing way of explaining, you have nice gift to present math!!
I realy enjoyed the breaking cycloid video.
No one makes video like this about calculus and trignometry...

I am so excited to check out the rest.

Please keep posting more videos...
On trignometry, calculus, geometry, number theory as you said you have great collection!!

[enzotsunoda]

this video's animation is top tier, keep the good work! btw which program do you use?

[abacaabaca]

Thanks to this video I was able to draw cycloid in code.

I want the computer to slowly draw the cycloid.

Before this, I just prepare all the coordinates before hand in a data structure before drawing them i.e using factory method. But it draws the cycloid but not draw it slowly.

What I need to do is that:

angle+=1.0f*fElapsedTime;
Then update x and y coordinate

And draw using those.

[no_cheema]

man! you are doing great. I request you to never give up<3

❣

[juniorcyans]

I watched twice, then I kinda get it. Very nice video! Thanks a lot!

[ziaulhaq]

Good yar!! Very nice animation and explanation

[sarthaksharma]

I know i will never meet you SIR but you have saved some one out there❤❤🫡🫡🫡, i was solving a problem of particle on edge of rim, had to prove the path is cycloid for observer situated outside, , you just described so weell(i touch your

[Mo_ducky]

Keep up the work I like ur channel it's very entertaining

[igorjasenovski]

You did a greate job on this video and explanação!!!

[Neemakukreti]

That was a fantastic demonstration! Simply wonderful! Just one question--how did you conclude that the arc length of the circle should be equal to the horizontal distance covered by it?

[nazishahmad]

Please let me know which software do you use for creating your animations, they're really good .
Please if possible make a video on how do you create your videos .

[arturo.]

I just didn't understand why x+a is the same as the arc length of the circle. 2:31

[RaulLopez-rqwh]

How could you calculate the point new position in the x.y plane if the circle rotates in place?

[dragonlovesdiamond]

Im confused why the arc length of the circle = the = x+a

[cphysics]

Sir which software you use to make such vedio