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March 18th, 2017, 06:32 AM   #1
Joined: Mar 2017
From: Connecticut

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Extending arc

I have attached a jpeg to illustrate what I'm looking for. I need a equation to calculate the endpoint of an arc if it is extended past a given point by a given distance.
Side(a) Side(b) and Side(c) are known
In the example the given distance will be .06 along the arc

The answer is in Red on the attached jpg ( X.5178 Y-.1322 ) based on the origin on the example.

The answer was evaluated on a cad system but I need to arrive at the answer
using an equation that can be repeated within the application.
Thanks for any help
Attached Images
File Type: jpg Arc advance.jpg (22.1 KB, 3 views)
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March 18th, 2017, 08:12 AM   #2
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From: England

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Can I clarify a few points about this question?

As I understand what you are asking the following construction applies.

1) Why is your coordinate system inverted compared to normal X positive increasing leftwards, Y positive increasing downwards?

2) With this coordinate convention from the origin, daw a radius R = 1.080 along the positive x axis to the centre of the circle.

3) Draw the line from the centre of the circle through the point x = .4644; y= -.1049

4) Draw the line parallel to this line up and to the left of it, to intersect the circle at the desired point X, Y

5) Calculate the coodinates of X, Y.
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