Leibniz quest for Pi pt1
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Uploaded by donylee on Aug 25, 2007
In this 3-part video we follow Leibniz in his pursuit to find the area of a quater circle of unit radius via integration, trigonometry and series expansion. Simply amazing!
Hope you like it. Check out www.gaussianmath.com for a more indepth explanation.
- 39 likes, 2 dislikes
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@Patsan120
ds need not be equal to OS or dx to OR; what is equal is their ratio
(OS / OR ) = ( ds / dx )
Gregg
gregg4 11 months ago
@thefifthlord1
surface area circle is PI * r * r
if r = 1, surface area of quarter circle is PI / 4
You mix up with circumference of circle. Circumference circle is 2 * r * PI. If r = 1, circumference is 2 * PI and
half-circle (180 degrees) would be PI.
Point of video is the find surface area (integration -> area under curve) under quarter circle, i.e. PI/4
Gregg
gregg4 11 months ago
bad audio, great class
daubabylon 1 year ago
Leibniz = laibnits
alifeofreason 1 year ago
It's pronounced Laibnits, not Libnis...
alifeofreason 1 year ago
pi/4 = 180/4 = 45 degrees not 90, pi/4 = 1/8th a circle.
thefifthlord1 1 year ago
2:00
GelandnaleG 1 year ago
gooooooooooood tiiiiiiiiiiiiiiimesssssss!
11:47 PM
chirrrs 1 year ago
3:06AM
DoubleDutchBust 2 years ago
You actually get (1/2)y - int(xdy) ( both from zero to 1). Which gives you:
(1/2)y(1) - integral (xdy, from 0 to 1). Now you can figure out y(1) by using the proportion x/2=y^2/(1+y^2) in part 3 . That's how you get y(1)=1.
wepf2000 2 years ago