|March 18th, 2017, 06:32 AM||#1|
Joined: Mar 2017
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
|March 18th, 2017, 08:12 AM||#2|
Joined: Jun 2015
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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