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#1 2006-08-08 07:52:49

dan flemming

Arc to arc calculation

I have an arc starting at 0,0 (x=0 & y=0) call this "P1". (counter-clockwise)
The raidus is 1329.0000000
The start angle is 68.45736452
The end angle is 90.00000000
The arc-length is 499.69060185

Also from "P1" horizontally back to the left (angle=180.000000), to a vertical 90 degree line from the end-angle of the 1st arc is 488.0000000 long.
This is how I found my starting point (P1) on the 1st arc.

At the start-angle (P1) a vertical line is 28.875000 long.  (This length will never change)
Angle = 90.0000000
At the end of this line (call this "P2") is the start of another arc going counter-clockwise.
The radius is 77.15944660  (This radius will never change)

Back to the center-point of the arc is:
The Angle in XY Plane = 277.43909137 (from "P2")
Delta X = 9.99000000
Delta Y = -76.51000000

I need a calculation to find the intersection of these 2 arcs.  (in terms a dummy like me can understand)

I hope someone can help!


#2 2006-08-08 10:00:28

Registered: 2005-01-21
Posts: 7,684

Re: Arc to arc calculation

A sketch would be good.

If you can create one, you can then upload it (click "Post reply" then in the "Image Upload" section, select 1 or more upload slots, find the file using browse and click submit)

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman


#3 2006-08-08 10:06:34

Real Member
Registered: 2005-09-05
Posts: 412

Re: Arc to arc calculation

Yes, please try to make an image... I tried drawing it myself but I had a hard time understanding what you were trying to say at some points, so I only got as far as the first circular segment/arc.


#4 2006-08-10 04:03:38

dan flemming

Re: Arc to arc calculation

See if the image comes through...

#5 2006-08-10 04:06:21

dan flemming

Re: Arc to arc calculation

Windows explorer doesn't show any upload slots for images...
Give/send an email address and I will send it to you.

#6 2006-08-10 04:52:46

Real Member
Registered: 2006-07-14
Posts: 6,400

Re: Arc to arc calculation

Upload your image on or something, then take the forum hotlink (1 or 2 - there are two options) and post it here.

EDIT: Wait, just use the MathsIsFun uploader - I think it can upload images.

Is there such a thing? hmm

Last edited by Devanté (2006-08-10 04:54:16)


#7 2006-08-11 23:14:48

Registered: 2006-08-08
Posts: 4

Re: Arc to arc calculation

Where is the image upload link?

Well i'll be darned...
After posting this "quick message", I saw an "edit" link, I edited this message an... up poped an image upload slot.
It's amazing how web site builders overlook the simple things!

Here is the Image!

Only the distances marked with the text "known" are known.
The rest is placed there for reference.

View Image: ARC-TO-ARC.jpg

Last edited by dansmark (2006-08-11 23:27:21)


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