Author Topic: TI-BASIC: Loops?  (Read 8421 times)

0 Members and 2 Guests are viewing this topic.

Offline Ender

  • x86
  • Hero Member
  • *****
  • Posts: 2390
    • View Profile
Re: TI-BASIC: Loops?
« Reply #15 on: April 28, 2006, 06:09:58 pm »
You know, on TI graphing calculators, to draw a circle, it's just two graphed equations:
y1=sqrt(r2 - x2)
y2=-sqrt(r2 - x2)
where r is the radius of the circle you would like drawn.  This is derived from the definition equation of a circle, x2 + y2 = r2.

I'm pretty sure in the past, for me, something like If A < 100 Then Goto B worked.

I believe that will draw only a partial circle, as seperating the equation into two restricts the domain.
f(x) = √(r2-x2)
f(r) = 0
f(x) = -√(r2-x2)
f(-r) = 0

Those are two points missing from your graph. The domains, as defined by the square root function, do not restrict x = ±r. As Myndfyre said, it is the granularity of your calculator that is causing the perceived discontinuities. But by setting your window to x: [-r, r] and y: [-r, r], and setting r to small values, you should be able to see a clearly defined circle.
« Last Edit: April 28, 2006, 06:39:41 pm by Ender »