Where Do Parallel Lines Intersect?

[@janthore]

"You may remember this from high-school" *immediately shakes head*

[@raghavshukla1090]

that guy was prolly indian and yea we study that stuff in high school

[@werquantum]

This is my go-to video whenever I detect that I’m getting a bit full of myself.

[@elianalopez7303]

I can smell the sharpie from this video what an enlightening experience

[@blastoff2moon429]

My head is still spinning and I'm crying inside that I'm dumb as fuck .

[@QuinnSapp]

So happy I clicked on this one. Actually makes sense and is explained well. Thanks!

[@noobyplays7679]

So it depends on dimensions and the perspective>?

[@yat57]

So basically it is about seeing thing from the perspective projection of line above plane of line.neat!

[@BoundInChains]

darn it! leave them parallel lines alone!

[@anhurtjv]

My question is: when you were giving the explanation of how a line points to a point in the infinity, and that different lines pointed different inifinities, why would i consider then that the parallel lines will go towards the same infinity.?

[@KennethSharratt]

A very good review of the topic. Thank you for a valued contribution.

[@theimpossiblecastillo8158]

This video is amazing! I was searching up how to find the distance between two parallel lines.I love Math. However, distance formula can be annoying. This video is cool!

[@gogiman4838]

Fabulous explanation

[@tamerlannuraq5958]

What I could see here is just making up a two-sided corner from two planes, each holding a line and these lines are parallel. Does that really mean those two lines DO INTERSECT??

[@assassinscreedv7105]

I watched it now but you guys are amazing, thanks alot!

[@Danny-nc6ol]

so you are saying that in 3d those parallel lines originate at infinity. which is the z axis? the cant exist in 3d without that intersection at the z axis?

[@hellofarmers3541]

Very good explanation why aren't you doing more videos

[@casss320]

this was so good. saved my ass

[@sachinagarwal3287]

Assume this to be done on computer graphics, rather than with pen and paper then as the degree of line bends with the point on plane extended then ultimately as point reaches infinity the line eventually has no z-axis elevation and the line now exists in 2d plane then how do parallel lines meet? Plz explain

[@graceaydt2964]

Bomb video! Love the knowledge and explanation, clear and easy to understand! Thanks!

[@GMMDMMG]

Ok, so, in the projection of the planes (which meet in the origin) associated with the parallel lines, various projected lines (in the projected planes of the parallel lines) will too meet in the origin. But those are the projected lines, not the parallel lines. Parallel lines have a definition that can be applied to any number of dimensions. In 2, 3, or n-dimensional geometries. You have to stick to deductive reason the right way.

[@jmgondraneos3156]

thank you for the info! 😄

[@johnmathai2223]

Thank you, nice explaination

[@markwarren2115]

Super neat!

[@humanaccount2754]

This is so stupid. Theoretical maths is the reason im not doing a maths degree… Even though i love maths. As soon as they mentioned the rule of polynomials and the words “3d” plane i was like cmon. I was so confused as to how parallel lines can meet bur of course its another perspective thing. Good vid tho, thanks

[@WitarHaman]

Me and bro if we never downloaded tiktok.

[@RahulSharma-ey5ze]

then why we called them parallel lines ?.bcz acc to def. its impossible.

[@skiz4198]

I wanna be friends with nerds now

[@danspeede]

excellent video

[@Ibrahim-kp7vh]

make more videos like it

[@Kenneth_the_Philosopher]

They probably have there PHD by now!

[@rey1242]

Have where?

[@petermukonyezi487]

Parallel lines can't meet. otherwise they aren't parallel at all. Saying they intersect at infinity or at the origin, negative and positive infinity, is equivalent to saying it's not possible for them to meet. Its like being asked if space is infinite, and you answer by; "...well if you can travel to infinity, it is finite." INFINITY IS INFINITY GOOD PEOPLE✌️like counting numbers, no end

[@sinpi314]

Gives me numberphile vibes

[@ersanark4608]

Look like you draw sharpest edge of an elipse which are not two parallel lines.

[@raghavshukla1090]

dayum

[@danielvilenski1917]

No budget for animation? Just use pieces of paper and pens.

[@councxxious]

you all are smart!

[@LyrcKing]

eyes wide af

[@LyrcKing]

i mean seriously wide af

[@LyrcKing]

fr

[@ducttapingmypocket219]

fucking lit brooooo

[@ianhpete]

Hey you know this thing where two lines dont intersect in 2D ? Yeah they do, just in 3D soooo you proved fuck all

[@FlyingOfficer]

Why do we solve to make LHS = RHS, and end up becoming intelligent fools... You cannot math around different dimensions, while the geometry we talk here is a virtually assumed world, assumptions cannot be based on our comfort but logic. if u start ur math with the assumption of 2 dimensions then u have to stick to it. Fools will take time to understand this

[@affanakela6559]

When both of them are Asians 😁

[@daleo-_-3775]

... so?

[@jungkooxlov]

AYYYY

[@KaiCarver]

It took me a while to figure out they were saying “Bézout’s theorem” (and of course not “Bayes’ theorem”). Bézout is not mentioned in the page on projective geometry, but is in the page on *algebraic* geometry. Don’t ask me the difference between these two geometries, I’m way beyond the limits of my understanding now :D en.wikipedia.org/wiki/Bézout%27s_theorem