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Currently I am trying to derive the equations x and y shown in the attached picture. I am struggling to find the horizontal and vertical components of lines u and v with angle phi and phi one. Could someone suggest a hint please? enter image description here

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  • $\begingroup$ Law of gearing in mechanical design, general involutes ... $\endgroup$
    – Narasimham
    Jan 10, 2021 at 19:16
  • $\begingroup$ I meant more of a mathematical hint thanks anyhow $\endgroup$ Jan 10, 2021 at 19:26
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    $\begingroup$ If you go through the theory of gears without slipping there are considerations of equal arc lengths, so that $ s=R_1 \theta_1=R_2 \theta_2$ etc. $\endgroup$
    – Narasimham
    Jan 10, 2021 at 19:29

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