\[\frac{1}{c} = \frac{1}{c_{1}} + \frac{1}{c_{2}}\]
\[\frac{1}{c_{1}} = \frac{1_{2}^{\backslash c_{2}}}{c} - \frac{1^{\backslash c}}{c_{2}}\]
\[\frac{1}{c_{1}} = \frac{c_{2} - c}{cc_{2}}\]
\[c_{1} = \frac{1}{\frac{c_{2} - c}{cc_{2}}}\]
\[c_{1} = \frac{cc_{2}}{c_{2} - c}.\]