I can't believe how lucky young people are to have videos like this, these concepts are topics I had to return to for years for a refresher. A video like this makes it so clear.
What a video I mean my life was just changed from observing this piece of art in the form of video. It’s absolutely beautiful how technology has developed to allow education through film. Serenity is the word I would associate with this video. The slight music in the background companied by the soothing voice of the narrator establishes an enlightening learning experience. I am left speechless as a result of this masterpiece.
There's something I've never gotten an intuitive understand of: why an ellipse is symmetric. It seems like the side closer to the cone's vertex ought to be smaller, but it's not. I know it, and I could demonstrate it mathematically, but I don't have the kind of "oh, of course, it has to be symmetric" understanding that I have about other things. Can anyone provide a straightforward, one-sentence explanation of why an ellipse is symmetric?
Hello , Putting constraint to the ellipse that it's centre is at the origin , we can say that an ellipse is symmetric with respect to both the coordinate axes since if (x, y) is a point on the ellipse, then (- x, y), (x, -y) and (- x, -y) are also points on the ellipse.
A canonic ellipse has an equation x²/a²+y²/b²=1. And if we replace x and y with (-x) and (-y), the equation doesn't change. Therefore it's both symmetric with X and Y axes.
Not sure if this will answer your question but the axis is the center of the resulting circle, but it is *not* the center of a resulting ellipse. (A circle is the only special case when the axis is the center of an ellipse.) Also think about what you would need for it to not be symmetrical ... you couldn't have a cone, you would need something misshapen, not uniform.
Hi there, like someone else in the replies also said, the confusion is resolved the moment you realise that the centre of the ellipse doesn't have to align with the axis of the cone itself. The ellipse is symmetrical simply because we can find two axes of symmetry in it.
Brilliant way of explaining.. Most teachers who understood the concept very well too, struggle to draw this 3D it in the 2D board and explain it to students... Animation is the best way to visualize it in the 3D and provides a better understanding. Kudos team.. who made this. Well this is how exactly students be taught in schools
This is the best video I have ever seen. The video consists of all what needed one. I'm talking of background music too. I felt a great happiness after watching video. I met the greatest man invisibly who created this channel.
In the context of a unit circle, and starting with a circular conic section, where the plane is perpendicular to a, and b is >a: Moving towards pi from zero, angle b continues to be greater than angle a for a time (producing ellipses - though these angles continue to get smaller and smaller), after passing this range of being greater than a, the cross section then becomes a parabola (with b now = to a for a very specific point). Notice here, the plane has starting cutting through the circular base of the upper nappe. This is a dead give away that the plane will soon transit both nappes if it continues rotating in this direction. After passing through this point where b = a. the ellipse begins immediately cutting into the second nappe, thereby producing hyperbolas.
literally most of pcm students only remembered formulas and the method of solving mcqs but does not know what conic sections really are ! must see this video
:59 That's a different use of the word directrix than I'm accustomed to. For me a directrix is a line. The ratio of a point's distance from the focus to the point's distance from the directrix is constant and this is the conic's eccentricity.
Really I like this module of learning. From this i came to the conclusion that your team work so much for RUclips learners students I thanks to your team for so much hard work and also thank for understanding the conic by imagination
A microscope can only make You see Bigger, it can never make You understand Better. This is absolutely stunning. You give Eyes to the Blind. Keep it up and please do make more Videos like this
every school should use this video as a introduction to conic sections.
ay, my math teacher sent me here
Yes. 👍
I mean this is a chapter needs a 3d representation to understand. Kab tak hum 2d se jugaad karte rahege.
La Galli
@@Rex-zm7xb Kya bat boldi Bhai wahh book me 3D ko 2D se smjha re
This is more satisfying than studying this module lmao
Agree.i can't understand the module
So true mate
@@raffypaclipan2758 you
Ya, absolutely
I agree
Great video, but would like to add few important things:
*Eccentricity* - e=(a/b)
Parabola e=1
Hyperbola e>1
Ellipse e
isn’t eccentricity c/a?
For ellipse 0
B
@@oweng8895 its length from point/length from line but whatever
Eccentricity of ellipse is √(a²-b²)/a with a being the main axis, in hyperbola it's √(a²+b²)/a.
Feel free to correct me if something is missing
I was really confused on why they were called conic sections. This seems like it will help me understand. Thank you!
OMG! This is the most beautiful mathematical video I have ever seen (and I've seen many!). Congratulations on brilliant exposition!!!
Jacques Caillault thanks for appreciating
@@creativelearning3d please make more videos like this on other topics of physics, chemistry and maths.
please make more animations on the other topics of physics, chemistry, as well as mathematics.
Finally, I could understand conics! Thanks.
I can't believe how lucky young people are to have videos like this, these concepts are topics I had to return to for years for a refresher. A video like this makes it so clear.
What a video I mean my life was just changed from observing this piece of art in the form of video. It’s absolutely beautiful how technology has developed to allow education through film. Serenity is the word I would associate with this video. The slight music in the background companied by the soothing voice of the narrator establishes an enlightening learning experience. I am left speechless as a result of this masterpiece.
""""soothing""""
But I understand how you feel. I got emotional watching too
I wanted to comment the same bout technology for education
I want what you're smoking.
@@chickentendies4485 lmao
greatest video ever seen 1st video that cleared all my doubts please make some more such videos
This video saved my life . A whole lot of love for this wonderful channel
Pls like , share and subscribe
I watched a stupid 30 min video and understood nothing and this 5 minute video is ALL I NEEDED.
THANKYOU❤️
Thanks
The graphics in this are wonderful, and the explanation is very clear. I'm going to assign this in my Calculus II class. Thank you.
visual aids are the necessary part of 21st-century learning, this video proves that.
Finally someone that explains it properly
The one who discovered the relation between the three curves and cones is a genius
This gives an idea of the exact reason for black hole theory
How🙄
@@shortvds5791 It's my own idea, if it's true you might get to know about this in your future............... , till then no revelation
this video can beat more than 10 videos of 30 mins related to conic section.........
best introduction to conic sections out there not gonna lie
There's something I've never gotten an intuitive understand of: why an ellipse is symmetric. It seems like the side closer to the cone's vertex ought to be smaller, but it's not. I know it, and I could demonstrate it mathematically, but I don't have the kind of "oh, of course, it has to be symmetric" understanding that I have about other things. Can anyone provide a straightforward, one-sentence explanation of why an ellipse is symmetric?
Hello ,
Putting constraint to the ellipse that it's centre is at the origin , we can say that an ellipse is symmetric with respect to both the coordinate axes since if (x, y) is a point on the ellipse, then (- x, y), (x, -y) and (- x, -y) are also points on the ellipse.
A canonic ellipse has an equation x²/a²+y²/b²=1. And if we replace x and y with (-x) and (-y), the equation doesn't change. Therefore it's both symmetric with X and Y axes.
Not sure if this will answer your question but the axis is the center of the resulting circle, but it is *not* the center of a resulting ellipse. (A circle is the only special case when the axis is the center of an ellipse.) Also think about what you would need for it to not be symmetrical ... you couldn't have a cone, you would need something misshapen, not uniform.
3b1b has a great video on this check it out
Hi there, like someone else in the replies also said, the confusion is resolved the moment you realise that the centre of the ellipse doesn't have to align with the axis of the cone itself. The ellipse is symmetrical simply because we can find two axes of symmetry in it.
This video has cleared my all concepts
Her voice makes me wanna take an upper nappe.
ha
I don't know what you mean and I also don't wanna know
@@gudguy97 then please don't comment here dumbass
@@gudguy97 and he also doesn't wanna told u
Amazing animation it helps in easy leaning and making concrete concepts.
And there is our school where teacher says to memorise the equation of these conic sections before we understand what conic section really is.
This is so satisfying and educational at the same time
Best video on yutube in very well and clear manner.
thank youuuuu
Msttt.... Mzaa aaya dekh k👌👌❤️
Straight to the point. Very informative. Thank you.
AG sir OP
This made me understand this more better.
Graphical study is the best way to teaching.
Thank you 💗!
Superb video great explanation thanks for the video
Brilliant way of explaining.. Most teachers who understood the concept very well too, struggle to draw this 3D it in the 2D board and explain it to students... Animation is the best way to visualize it in the 3D and provides a better understanding. Kudos team.. who made this. Well this is how exactly students be taught in schools
This video cleared all my doubts about conic sections and answered my questions about the topic. Thanks.
this is the better video that i already seen about conic sections, thanks!
The music makes me feel like "time to rise of conics" theme.
Congrats Creative Learning, You are featured in my online class ❤👍
Mind blowing animation 👌
Actually Clear and to the point!
Where have you been all my school life??
This is the best video I have ever seen.
The video consists of all what needed one.
I'm talking of background music too.
I felt a great happiness after watching video.
I met the greatest man invisibly who created this channel.
My maths teacher sent me here
This just explained what I've been struggling for half an hour.
Awesome video 👍🙏
This kind of a Video make fall in love in this Chapter Thanks a lot dear...... We all hope You keep making this kind of video ❤
I’m pretty sure this is the video that all the teachers send in online classes
Great video! Learned a lot. Thanks!
In the context of a unit circle, and starting with a circular conic section, where the plane is perpendicular to a, and b is >a: Moving towards pi from zero, angle b continues to be greater than angle a for a time (producing ellipses - though these angles continue to get smaller and smaller), after passing this range of being greater than a, the cross section then becomes a parabola (with b now = to a for a very specific point). Notice here, the plane has starting cutting through the circular base of the upper nappe. This is a dead give away that the plane will soon transit both nappes if it continues rotating in this direction. After passing through this point where b = a. the ellipse begins immediately cutting into the second nappe, thereby producing hyperbolas.
thank you i now understand conic sections fully, this video was very helpful
This video changed my life
Hope this video was available when I was at high school
This video was really helpful☺
From Arjuna 3.0❤
LOL
did u attend todays maths class
@CucumberHammock
@@NEHALCALLIGRAPHY-yo5mh Yes
Here bout to finish module of that chapter
@CucumberHammock
that's impressive! btw never seen u during classes
@CucumberHammock
This vdeo is a must watch before beginning conics! 👍🏻👍🏻
Better than school teacher
Where nothing I can understand 😅😅
3d animations cleared all my foubt
Beautiful animation of such a complex concept, with easy to understand visuals and explanations
Wonderful, thank you
Mam your voice is so sweet. And the way you teach is also beautiful.
I wish my teachers 50 years ago had used this video.
Finally,i could understand the conic sections.
Bestest video to understand conic sections.......
Very helpful, particularly for understanding hyperbolas
Excellent video.
Awesome video...... Thanks to make me understand it's proper shape of cone please make more such 3D videos
Perfect video for understanding conic sections
thank you mr reece for introducing me to this video
Woww what a video ....I haven't seen before such a clear concept video👍👌
Oh god .. thnku so much .. u dont know wht u hv done ... struggling for even 1 year .. but now i totally understood the chp
Thank you for making a video that is so easy to understand that even a baby can learn it
Amazing , now imagination comes visible through your vedio , phenomenal work
Hello
Where you from
thanks alot if this explanation haven't been made i would have not understand it
literally most of pcm students only remembered formulas and the method of solving mcqs but does not know what conic sections really are ! must see this video
What's that background music omg xD it sounds like a new age "open ur mind" video xD
Wow. amazing...keep it up, make more of such videos.
Perfectly explained
And gave a bullet shot about
The concept of conicsections 2 brain.....tq
A perfectly animated video which gives clear idea about the topic.
Your efforts for us worth a lot....thanks😊 for this video
On behalf of me millions of likes to this video.👍👍👍👍
The concept is very clear to me.Thank you Sir/Mam.
This will much help for students if you would make a videos on Conicoids as well plzzzz .......This will grate help.......
This topic could be understood only by such a video
,🤗
Thanks
Big respect to the creator what a great way to explain
That soundtrack is bopin', where can I find the OST for this?
It's glitched tho
@@fossilasp M8, it’s part of the aesthetics. Only adds to the bop
Got any luck finding the OUT m8 ?
1.Will learn
..2. Get.
3.at a fixed point
4.keep/start (verb+ing)
5.have..
6.using "" above and below""
""As long as ""the angle is obuse
:59 That's a different use of the word directrix than I'm accustomed to. For me a directrix is a line. The ratio of a point's distance from the focus to the point's distance from the directrix is constant and this is the conic's eccentricity.
it is same. pls. note.
Not everyone learn about degenerate conic section, good video👍👍👍
Please make more animation videos on every topic... It's very easy to understand....😉... Plzzzz...
Best video to explain 3d chapter
It is the best video to learn coni section in 5 minutes
Thanks....... for making such kind of an animated video .
Amazing I learnt all the concepts by this video
I learned alot, Thanks for sharing info!!❤
Really I like this module of learning. From this i came to the conclusion that your team work so much for RUclips learners students I thanks to your team for so much hard work and also thank for understanding the conic by imagination
Nice video. Thank you!
The best video I have ever watched❤️
Wonderfull!!!! it helped me a lot to understand conic sections. Thank you very much.
A microscope can only make You see Bigger, it can never make You understand Better. This is absolutely stunning. You give Eyes to the Blind. Keep it up and please do make more Videos like this
Amazing 3D visualization! ❤❤❤
Nice video and good explanations of conics sections in 3D mode.
My teacher taught this in another way...I related in different way now I am double confused 😂😂😂