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According to several papers related to Gauss' FTA proof, in the first proof he said, “It seems to be well demonstrated that an algebraic curve neither ends abruptly (as it happens in the transcendental curve y = 1/ log x), nor lose itself after an infinite number of windings in a point (like a logarithmic spiral). As far as I know nobody has ever doubted this, but if anybody requires it, I take it on me to present, on another occasion, an indubitable proof.” Even though he said that, he didn't provide the evidence in the end. So, was there no criticism of the his first FTA proof during Gauss' lifetime?

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