Re: [CAD_CAM_EDM_DRO] Re: Filter or converter for converting short lines to arcs
Posted by
Raymond Heckert
on 2003-06-28 18:00:00 UTC
Actually, it's a string of equations. First, you make line segments from
(X1,Y1) minus (X2,Y2), then, another line segment from (X3,Y3) minus
(X2,Y2). Then find the centerpoints of each line segment (as in (X1+X2)/2,
and (Y1+Y2)/2). Then convert segments into the slope intercept, or y = mx +
b form, then construct the perpendicular bisectors to each line (where the
'new' slopes are 1/m, in each case), and where the perpendiculars cross
(i.e. the equations of the line segments are equal in value) is the
centerpoint of the circle. Much more complex explaining it than actually
doing it. Even easier with a computer that's running some form of BASIC
language.
RayHex
----------
(X1,Y1) minus (X2,Y2), then, another line segment from (X3,Y3) minus
(X2,Y2). Then find the centerpoints of each line segment (as in (X1+X2)/2,
and (Y1+Y2)/2). Then convert segments into the slope intercept, or y = mx +
b form, then construct the perpendicular bisectors to each line (where the
'new' slopes are 1/m, in each case), and where the perpendiculars cross
(i.e. the equations of the line segments are equal in value) is the
centerpoint of the circle. Much more complex explaining it than actually
doing it. Even easier with a computer that's running some form of BASIC
language.
RayHex
----------
> From: Charles Hixon <cehixon@...>
>
> What is the equation to determine the center of an arc given three
> points on the arc? charles
>
Discussion Thread
Statman Designs, LLC
2003-06-26 07:15:33 UTC
General Question REgarding Stepper vs. Servos
Markwayne
2003-06-26 07:50:12 UTC
Re: [CAD_CAM_EDM_DRO] General Question REgarding Stepper vs. Servos
Charles Hixon
2003-06-26 08:01:08 UTC
Re: General Question REgarding Stepper vs. Servos
Tim Goldstein
2003-06-26 08:05:15 UTC
RE: [CAD_CAM_EDM_DRO] General Question REgarding Stepper vs. Servos
Tim Goldstein
2003-06-26 08:13:05 UTC
RE: [CAD_CAM_EDM_DRO] Re: General Question REgarding Stepper vs. Servos
Les Newell
2003-06-26 08:36:36 UTC
Re: [CAD_CAM_EDM_DRO] General Question REgarding Stepper vs. Servos
Charles Hixon
2003-06-26 09:25:09 UTC
Re: General Question REgarding Stepper vs. Servos
Tim Goldstein
2003-06-26 11:11:59 UTC
RE: [CAD_CAM_EDM_DRO] Re: General Question REgarding Stepper vs. Servos
Charles Hixon
2003-06-26 11:44:06 UTC
Re: General Question REgarding Stepper vs. Servos
JanRwl@A...
2003-06-26 14:18:25 UTC
Re: [CAD_CAM_EDM_DRO] General Question REgarding Stepper vs. Servos
Jeff Lionberger
2003-06-26 15:20:00 UTC
Filter or converter for converting short lines to arcs
IMService
2003-06-26 16:26:37 UTC
Re: Re: General Question REgarding Stepper vs. Servos
fortino
2003-06-27 08:20:47 UTC
Re: [CAD_CAM_EDM_DRO] Filter or converter for converting short lines to arcs
Torsten
2003-06-27 09:33:04 UTC
Re: Filter or converter for converting short lines to arcs
Charles Hixon
2003-06-27 09:51:02 UTC
Re: Filter or converter for converting short lines to arcs
andyolney
2003-06-27 10:19:35 UTC
Re: Filter or converter for converting short lines to arcs
Marcus
2003-06-27 10:56:46 UTC
Re: [CAD_CAM_EDM_DRO] Filter or converter for converting short lines to arcs
Alan Marconett KM6VV
2003-06-27 11:28:23 UTC
Re: [CAD_CAM_EDM_DRO] Re: Filter or converter for converting short lines to arcs
Fred Smith
2003-06-27 11:51:36 UTC
Re: Filter or converter for converting short lines to arcs
Charles Hixon
2003-06-27 13:54:28 UTC
Re: equation for locating the center of an arc knowing three points
Alan Marconett KM6VV
2003-06-27 16:21:51 UTC
Re: [CAD_CAM_EDM_DRO] Re: equation for locating the center of an arc knowing three points
Kim Lux
2003-06-27 16:40:44 UTC
Re: [CAD_CAM_EDM_DRO] Re: equation for locating the center of an arc knowing three points
Charles Hixon
2003-06-27 18:42:20 UTC
Re: equation for locating the center of an arc knowing three points
R Petersen
2003-06-27 18:45:08 UTC
Parker systems
Jon Elson
2003-06-27 19:25:38 UTC
Re: [CAD_CAM_EDM_DRO] General Question REgarding Stepper vs. Servos
Bill Price
2003-06-27 19:54:49 UTC
Re: [CAD_CAM_EDM_DRO] Re: Filter or converter for converting short lines to arcs
Charles Hixon
2003-06-28 06:40:50 UTC
Re: Filter or converter for converting short lines to arcs
Mariss Freimanis
2003-06-28 10:51:35 UTC
Re: General Question REgarding Stepper vs. Servos
Raymond Heckert
2003-06-28 18:00:00 UTC
Re: [CAD_CAM_EDM_DRO] Re: Filter or converter for converting short lines to arcs
Charles Hixon
2003-06-28 19:47:46 UTC
Re: Filter or converter for converting short lines to arcs
Jon Elson
2003-06-28 21:43:44 UTC
Re: [CAD_CAM_EDM_DRO] Re: General Question REgarding Stepper vs. Servos
Jeff Lionberger
2003-06-30 09:50:29 UTC
[CAD_CAM_EDM_DRO] Re: Filter or converter for converting short lines to arcs