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.
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!!
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?
Imagine that you cut the circle and unwrap it into a straight line. Every point on the circle would correspond to another point on the ground that it touched as it rolled. For example, if a circle rolls for one complete revolution, the length of the path it rolled would be equal to the circumference of the circle.
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.
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 cycloiddddd so weell(i touch your feet),thankyouuuuuu,😄😄😄😄
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 .
You could take that line segment (x+a) and wrap it along the circle, it would equal that specific arc length. We know this because the circle rolled along that same line segment without slipping
@@LearnPlaySolveyeah, so since the circle rolled without slipping, all of its points touched the line, forming a segment which is, by definition, is the arc length.
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.
Wow 😮
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!
Extraordinary video, what a joyful watching you.
Thank you very much
Good narration and explained well !!!
This video is amazing, top tier. No idea how you don't have more subs
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!!
Thank you so much for that compliment!!'
Amazing explanation, keep up the good work, humanity will thank you
this video's animation is top tier, keep the good work! btw which program do you use?
best video on cycloid
Thank you so much!
fantastic broooo
man! you are doing great. I request you to never give up
Thank you for that! 😃
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?
Imagine that you cut the circle and unwrap it into a straight line. Every point on the circle would correspond to another point on the ground that it touched as it rolled. For example, if a circle rolls for one complete revolution, the length of the path it rolled would be equal to the circumference of the circle.
I watched twice, then I kinda get it. Very nice video! Thanks a lot!
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.
Good yar!! Very nice animation and explanation
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 cycloiddddd so weell(i touch your feet),thankyouuuuuu,😄😄😄😄
Excellent video
Great explanation 👍, keep it up dude
Great learning experience thank you
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 .
Software ka pata chala kya
Keep up the work I like ur channel it's very entertaining
Underrated af
Cycloids are very intriguing
great video man
You did a greate job on this video and explanação!!!
Thank you 🙏
Awesome video bro!!
This was amazing
Great explanation bro, thznks a lot
Thanks you are the best
Hey, awesome video
excellent
Wonderful.
I just didn't understand why x+a is the same as the arc length of the circle. 2:31
Same bro
You could take that line segment (x+a) and wrap it along the circle, it would equal that specific arc length. We know this because the circle rolled along that same line segment without slipping
@@LearnPlaySolveyeah, so since the circle rolled without slipping, all of its points touched the line, forming a segment which is, by definition, is the arc length.
How could you calculate the point new position in the x.y plane if the circle rotates in place?
The circle does not rotate in place. It rolls along a straight line.
@@LearnPlaySolve sorry, I meant an hypothetical scenario where it rotates in place, or do you mean it gets calculated the same?
Then I suppose you could just treat it like a unit circle. Every point could be defined as (cosx,sinx).
dat ...so cool
Subscribed ❤️
Im confused why the arc length of the circle = the = x+a
Sir which software you use to make such vedio
@@LearnPlaySolve so nice of you Sir
No problem. Thank you for watching my videos.
@@LearnPlaySolve i have subscribed it also. I will regularly watch. Thanks