Consider two planar lines. How can I find a continuous curve with to specific asymptotic lines, as shown in figure. Planar curve with two asymptotic
2026-03-28 10:34:56.1774694096
A curve with two specific asymptotic lines
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A solution to this problem is not unique. If $f_1(x)$ and $f_2(x)$ are functions describing your lines, then for example $g(x)=-\frac{1}{\alpha}\log\left(e^{-\alpha f_1(x)}+e^{-\alpha f_2(x)}\right)$ would be a smooth curve below both lines with given asymptotes for any $\alpha>0$, as in your figure.