(41) Intersection points between circles

12012020, 11:59 AM
Post: #11




RE: Intersection points between circles
(12012020 09:25 AM)rawi Wrote: I forgot to mention that I take the absolute figure for computing alpha. I compute Try it again, but remove the ABS applied to alpha. It is this extra ABS that made the program complicated, requiring sg2 correction to undo. Quote:Perhaps by limiting alpha from 0 to pi/2 and doing the correction both for sx and sy I get correct results? Yes, it does. Here is the proof that sg2 correction undo ABS. If y2y1 ≥ 0, ABS does nothing to alpha, and we had already shown it work in previous post. If y2y1 < 0, we have 2 possibilities: x2x1 ≥ 0: calculated alpha should really be alpha: cos(alpha ± beta) = cos(alpha pi ∓ beta) * 1 sin(alpha ± beta) = sin(alpha pi ∓ beta) * 1 x2x1 < 0: calculated alpha should really be (pi  alpha): cos((pi  alpha) ± beta) = cos(pi  (alpha ± beta)) = cos(alpha ± beta) * 1 sin((pi  alpha) ± beta) = sin(pi  (alpha ± beta)) = sin(alpha ± beta) * 1 

« Next Oldest  Next Newest »

Messages In This Thread 
(41) Intersection points between circles  rawi  11252020, 03:07 PM
RE: Intersection points between circles  Albert Chan  11252020, 06:16 PM
RE: Intersection points between circles  rawi  11252020, 06:48 PM
RE: Intersection points between circles  Albert Chan  11262020, 12:22 AM
RE: Intersection points between circles  Albert Chan  11302020, 02:19 PM
RE: Intersection points between circles  rawi  11302020, 05:19 PM
RE: Intersection points between circles  Albert Chan  11302020, 09:03 PM
RE: Intersection points between circles  Albert Chan  12012020, 12:17 AM
RE: Intersection points between circles  SlideRule  11302020, 08:51 PM
RE: Intersection points between circles  rawi  12012020, 09:25 AM
RE: Intersection points between circles  Albert Chan  12012020 11:59 AM
RE: Intersection points between circles  rawi  12012020, 02:04 PM
RE: Intersection points between circles  Albert Chan  12102020, 01:34 PM

User(s) browsing this thread: 1 Guest(s)