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Precalculus Mathematics Homework Help
Circles and Euler spiral (repost from general math)
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[QUOTE="Mario, post: 5756537, member: 622697"] [h2]Homework Statement[/h2] [/B] known data: center of circle 1 (xO1,yO1) and radius of circle = R1 center of circle 2 (xO2,yO2) and radius of circle = R2 unknown data: lenght of spiral (magenta and blue) L=? tangent point of spiral on circle 1 (xA, yA) = ? tangent point of spiral on circle 2 (xB, yB) = ? [B] [h2]Homework Equations[/h2][/B] Particular declination of problem are resolved with below equation, but in this resolution know data are: R1, R2, L, xA=zero, yA=zero, xO1=zero, yO1=R1, line(O1-A) is orthogonal to x axes calculated data are: xO2, yO2, xB, yB[B][/B] [ATTACH=full]199143[/ATTACH] [ATTACH=full]199144[/ATTACH] [ATTACH=full]199145[/ATTACH] [ATTACH=full]199146[/ATTACH] (complete document at this link [URL]http://www.mygeodesy.id.au/documents/Horizontal%20Curves.pdf[/URL] prof. R.E.Deakin) [h2]The Attempt at a Solution[/h2] A iterative solution is using the above equations and change L to find desidered distance of two circle... but Analitical solution is possible ? many thanks P.S. move post here, if I understood well, it was a hint [/QUOTE]
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Homework Help
Precalculus Mathematics Homework Help
Circles and Euler spiral (repost from general math)
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