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Mathematics
Linear and Abstract Algebra
Translating points on the axes
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[QUOTE="RichardWattUK, post: 6268594, member: 663749"] I already know the following values: [LIST] [*]Point A (x[sub]A[/sub], y[sub]A[/sub], θ[sub]A[/sub]) [*]Lead measurement (in mm) [*]Projection angle (γ[sub]A[/sub]) [*]Lead angle (α[sub]A[/sub]) [*]Sines and cosines of angles θ[sub]A[/sub], γ[sub]A[/sub] and α[sub]A[/sub] [*]Coefficients C1, C2, C3 [/LIST] I'm trying to calculate the following values: [LIST] [*]β from solving C1 ⋅ cos β + C2 ⋅ sin β = C3 [*]Point B (x[sub]B[/sub], y[sub]B[/sub], θ[sub]B[/sub]) [/LIST] Following on from the Quora article, I've been able to solve the equation to get the value of β and get this to work within 0.0001 of the value returned from the existing code that uses the Newton-Raphson method. I've also been able to work out how to calculate β when ##Abs(C3\div\sqrt{C1^2+C2^2})>1## by using arctan with the appropriate values (I'll update the thread with the equation as I've left the notes at work and I'm typing this at home). [/QUOTE]
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Mathematics
Linear and Abstract Algebra
Translating points on the axes
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