Theorem of Pappus (KristaKingMath)

  Рет қаралды 54,887

Krista King

Krista King

Күн бұрын

Пікірлер: 52
@jeffberhow
@jeffberhow 11 жыл бұрын
Thanks for the response! It's quite amazing that the centroid has this property. I may be overthinking it, but we are taking the product of a one and two dimensional object and getting a three dimensional result. Very cool!
@geraldglennmullet8665
@geraldglennmullet8665 4 жыл бұрын
A segment of a circle of radius R is bounded by an arc equal to 1/3 the circumference of the circle. Find the volume of the solid generated by revolving this segment about its chord as an axis. (This solid is know as Kepler's Lemon). Note: Do note use integral calculus.
@RaptrX
@RaptrX 11 жыл бұрын
You managed to do what my profesor couldn't in a full lesson. Thanks for clearing up some doubts that I had.
@ahmedsaeed6556
@ahmedsaeed6556 8 жыл бұрын
this video is not just helpful . it's helpful , great and awesome . actually you're doing great job . thanks for that inexpressible effort ..
@kristakingmath
@kristakingmath 8 жыл бұрын
+ahmed saeed You're welcome, I'm happy to help!
@kristakingmath
@kristakingmath 11 жыл бұрын
Think about the plane region, basically, a 2D triangle that sits inside the cone. The centroid of that triangle (basically the middle of it), will travel a distance when you revolve that triangle around the y-axis. That center dot will essentially form a circle when you rotate the region, and the circumference of that circle is the distance traveled by the centroid. I hope that makes sense!! :)
@miguelalvarado5824
@miguelalvarado5824 8 жыл бұрын
Props young lady. Helped me with my Calc 2 homework, thanks!
@kristakingmath
@kristakingmath 8 жыл бұрын
You're welcome, I'm so glad it helped! :)
@saidesmatullahhussaini9330
@saidesmatullahhussaini9330 3 жыл бұрын
Best teacher ever
@kristakingmath
@kristakingmath 3 жыл бұрын
Thank you so much!!
@jeffberhow
@jeffberhow 11 жыл бұрын
What exactly does "distance traveled by the centroid of the plane region" mean; from where to where? Thanks for the great videos!
@kristakingmath
@kristakingmath 11 жыл бұрын
Glad I could help! :)
@ptyptypty3
@ptyptypty3 8 жыл бұрын
very WELL DONE, KRISTA!!.. You RULE.. :) ... by the way... a Great CHECK to see if your result is Correct.. (not that I think it wasn't correct!! ) .. is to Note that the Volume of a Cone is 1/3 the Volume of a CYLINDER using the same values for "h" and "r" .. and SURE ENOUGH.. you arrived at the 1/3(Pi)(r^2)(h) !!!! BINGO!! :) ... the area of the cylinder would be (Pi)(r^2)(h) !! THANK YOU KRISTA for all your wonderful AND very Educational Videos!! ..
@kristakingmath
@kristakingmath 11 жыл бұрын
I didn't see VeryEvilPettingZoo's response before I responded. Thanks for helping each other... that's awesome!! :D
@husnainhyder6713
@husnainhyder6713 7 жыл бұрын
your method has helped me is there any method to analyze 3D problems. Thankyou
@Dewatch111
@Dewatch111 11 жыл бұрын
could you not also find the equation of the line and rotate it around the y-axis by using it's bounds and the disk method? not positive if that would work but i feel like it could be a substitute
@rajeshagrawal4639
@rajeshagrawal4639 8 жыл бұрын
hey Krista I want to find center of mass of a rigid uniform body like that semi ring please help me out
@jaikhanna1532
@jaikhanna1532 9 жыл бұрын
when do we need the y coordinate..does the distance formula also change in that case?
@aubrey1008
@aubrey1008 3 жыл бұрын
Where does the 1/A come from. I don't get it. Can anyone explain?
@lyndongaming
@lyndongaming 10 жыл бұрын
thanks, never understood any of what my professor explained for 2 hours. but in this video it took only around 10 mins
@kristakingmath
@kristakingmath 10 жыл бұрын
So glad I could help simplify it for you! :)
@hg2.
@hg2. 8 жыл бұрын
Yes L, Krista's videos give us "working knowledge"; a whole new generation of engineers is on the way, imho.
@husnainhyder6713
@husnainhyder6713 7 жыл бұрын
video is great but still have question about Y' is the formula of Y' is correct X' is verified from my side please help me with this matter
@kristakingmath
@kristakingmath 11 жыл бұрын
Thanks! :)
@Neueregel
@Neueregel 11 жыл бұрын
Well done.
@chekurihrishikesh9022
@chekurihrishikesh9022 10 жыл бұрын
Thanks .
@kristakingmath
@kristakingmath 11 жыл бұрын
thanks!! :D
@amairanylopez4752
@amairanylopez4752 6 жыл бұрын
so simple! thank you!
@Boostedsoul
@Boostedsoul 7 жыл бұрын
hello can you state this theorem i mean statement of this theorem
@mannuposki10
@mannuposki10 9 жыл бұрын
I just had one doubt. Can you explain why did we consider only the x-coordinate and not y-coordinate?
@jasonlau1552
@jasonlau1552 8 жыл бұрын
+Aman Sharma well if u are trying to find the distance of a straight line (which is in this case)u can neglect ur y corrdinate
@kunal_265
@kunal_265 8 жыл бұрын
Cos The triangle so form is rotating about y-axis, If it's rotating about x-axis, then we'll consider only y coordinate and not x centroid
@DaylightDigital
@DaylightDigital 10 жыл бұрын
I love this theorem!!!
@mayaachir1321
@mayaachir1321 9 жыл бұрын
can somebody recap simply the problem for me plz ? it's for a project about Descartes for school...
@yopsi522
@yopsi522 4 жыл бұрын
when do you use this theorem on real life?
@rishirajdara
@rishirajdara 11 жыл бұрын
I don't understand why the equation of F(x) is taken as the hypotenuse of the right angled triangle.
@gadddelarosa2692
@gadddelarosa2692 5 жыл бұрын
Bcos it is the line that enclosed the cone and its equation is y=f(x)
@praveenkumarsunny9158
@praveenkumarsunny9158 10 жыл бұрын
from where did u get the board and chalk on ur computer
@kristakingmath
@kristakingmath 10 жыл бұрын
I explain here :) www.kristakingmath.com/my-videos
@Abc-tx4zr
@Abc-tx4zr 5 жыл бұрын
I don't understand why you can't just multiply 1/2 b (h)(2pi)(r)^2
@SAAD63856
@SAAD63856 10 жыл бұрын
thank you
@kristakingmath
@kristakingmath 10 жыл бұрын
You're welcome! :)
@adrieldelatorre6265
@adrieldelatorre6265 8 жыл бұрын
Thank you very much! :)
@kristakingmath
@kristakingmath 8 жыл бұрын
You're welcome!
@adi87tya
@adi87tya Жыл бұрын
If you're desi like me you can't stop giggling at "Pappu's theorem"
@matiaharonyan9663
@matiaharonyan9663 10 жыл бұрын
inlove with you
@thomasfox9893
@thomasfox9893 9 жыл бұрын
WTF is going on
@abochaser
@abochaser 11 жыл бұрын
thanks a lot, but there was a mistake in your solution. after the integration, r cubed was changed to r squared. and with that being done, your result is wrong.
@Maddr33
@Maddr33 10 жыл бұрын
Yaarub Alanie it looks like the r's just canceled out. 1/3^r Xr^3
@abochaser
@abochaser 10 жыл бұрын
oh ok. i am sorry. thanks again
@Maddr33
@Maddr33 10 жыл бұрын
I AM SO COOKED FROM FINALS THAT I tried and pick up my mouse and dial it.
Pappus Theorem: Solid of Revolution | Integral Calculus
23:27
PRC Review Center by Engr. Perfecto Padilla
Рет қаралды 35 М.
У вас там какие таланты ?😂
00:19
Карина Хафизова
Рет қаралды 19 МЛН
Wait for it 😂
00:19
ILYA BORZOV
Рет қаралды 11 МЛН
Это было очень близко...
00:10
Аришнев
Рет қаралды 7 МЛН
Is there an equation for a triangle?
15:50
Stand-up Maths
Рет қаралды 666 М.
Area of the triangle with the given vertices (KristaKingMath)
11:51
Theorem of Pappus to find Volume of Revolution Calculus 2
14:29
ProfRobBob
Рет қаралды 37 М.
#khanacademytalentsearch - First Pappus Guldinus theorem
9:41
Aleix Canet Sentís
Рет қаралды 8 М.
27: Stokes' Theorem - Valuable Vector Calculus
15:10
Mu Prime Math
Рет қаралды 6 М.
Theorem of Pappus:  Find the Volume of a Cone
5:30
Mathispower4u
Рет қаралды 627
How to STUDY so FAST it feels like CHEATING
8:03
The Angry Explainer
Рет қаралды 1,4 МЛН
the last question on my precalculus test
18:20
blackpenredpen
Рет қаралды 69 М.
У вас там какие таланты ?😂
00:19
Карина Хафизова
Рет қаралды 19 МЛН