Polar Form of Conic Sections - Part 1

[@DonOtto15]

You don’t know how many videos I’ve looked up to try and get someone to explain this

[@batubulgur]

Nice! I have been waiting for quite involving deriviations. Good job Master Wu. I was about to pass put because you forgot to put the denominator of y^(2) but at the end you did. After all that it would be disasterous.

[@MrMLehman]

I did a search on Khan Academy for the polar equation of an ellipse, and I was surprised to come up empty. Luckily I found this excellent video. Well done!

[@MasterWuMathematics]

Thank you very much. I am humbled.

[@victorferreira5852]

Nice video! I have two questions for you. 1 - Isn't c supposed to have two values, negative and positive ea ? 2 - About the positive one, as c = e²d/(1-e²) and p = -e²d/(1-e²), what does it mean c = -p? Thank you.

[@MasterWuMathematics]

1) Yes, as an ellipse as 2 focal points, but this is only really relevant in cartesian coordinates 2) I don't know if this has any major significance in the polar form. It just confirms that the focus is located at (0,0) as p has the same magnitude as c.

[@ashusoni4107]

too good explanation for heavy and boring algebra in interesting and understanding manner thank you for a better understanding​ in polar coordinates of conic sections

[@computerlover9290]

thank you sir.i have a problem.at 4:46 you have derived the polar formula of any type of conic sections but why did it lead to be the formula of an ellipse at the end?i'm confused.pleas help!

[@ashishkumar-xc4fs]

Nice one. Well explained :) could you please tell which software did you use for this video?

[@MasterWuMathematics]

Hi, I use a pen tablet and SmoothDraw, which is a freeware.

[@aparajitasaha2666]

What is reference book for polar equation of conics?

[@MathExplorer_Online]

Great video

[@MasterWuMathematics]

Thanks!

[@bernardgoma1651]

Nice explanation....on point

[@aritramondal4010]

Great job. Man great explanation in very short time. Thanks man..

[@anzatzi]

Great walk thru. Somehow other sources exclude all the algebra. Thanks!!

[@shawngirvasis]

Hey sir iam a bsc maths student from india and this video helped me a lot,thank you sir.....🙏🙏🙏🙏..i have a doubt at 12:10 why did you give( y^2)÷1-e^2

[@pardus8917]

When e=1, you end up dividing by zero and you are left with infinities. Can you please explain how to go from the polar to the cartesian representation of a parabola? I have yet to find an explanation for this. Thank you in advance Master Wu.

[@MasterWuMathematics]

I understand what you are saying, but if you pause the video at 7:37 and take the equation... (1 - e^2)x^2 + 2e^2dx + y^2 = e^2d^2 when e = 1, we get 2dx + y^2 = d^2. Then rearrange to get y^2 = d^2 - 2dx, which is an equation for a parabola.

[@suhailawm]

Thanks alot sir

[@laxmipapney7182]

amazing explanation.... thank you sooooooo much for the video..

[@MasterWuMathematics]

Thank you for watching, and for your positive feedback!

[@laxmipapney7182]

welcome sir..

[@ugursoydan8187]

thank you it was very good and to make is video is a little bit hard but you done it very well. so benefitful thanks!!

[@MasterWuMathematics]

Glad it was helpful!

[@stimulantdaimamld2099]

excellent.

[@sarthakpapney3125]

beauuuutiful explanation sir really, i really appreciate your work, i love derivations and you provide the one thank you so so much sir for the beautiful video..

[@anzatzi]

@10:45, what happend to the denominator of y^2? thanks!

[@MasterWuMathematics]

Yeah, sorry, I forgot to include it there. But I did include it again at 12:10

[@anzatzi]

I got over it :-) --such a great series--so hard to find this well explained

[@MasterWuMathematics]

Thank you very much for your support and encouragement :)

[@justinasher1055]

thanks

[@ull893]

When I saw Master Wu I thought it is chineese and my next thought was how would I understand your English. I guess I was wrong on both counts. Thank God not chineese English!!

[@MasterWuMathematics]

LOL! Thanks for watching. I... speak... good... inglisch...