No multi-statement 991CW—It’s peculiar

[Albert Chan]

Hi, Irdheat

Multi-statements is like a program.

Here is an example, calculating ellipse perimeter via AGM
note: for FX-115MS, B = √AB means B = √(A*B)

(01-23-2020 01:40 PM)Albert Chan Wrote:  

(01-21-2020 05:16 PM)Albert Chan Wrote:  \(\large p(a,b) = 2× \left( p({a+b \over 2}, \sqrt{ab}) - {\pi a b \over AGM(a,b)}\right)\)

In other words, calculate ellipse perimeter from a much less eccentric ellipse.

Using my Casio FX-115MS, AGM2 method for Halley's comet, numbers from here

A = 2667950000
B = 678281900
C = A²
D = B²
E = 0.5

F=B-A : C=C-EF² : B=√AB : A=A+F/2 : E=2E

Keep pressing "=" until F=0 (so that A,B,C all converged)

\(\large\pi\)(C+D)/B       → ellipse perimeter = 11,464,318,984.1 km