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Per the title, what are some of the oldest books on algebraic curves out there with unsolved exercises? Maybe there are some hidden gems from before the 20th century out there.

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Zeuthen’s Lehrbuch der abzählenden Methoden der Geometrie (1914) has Übungsaufgaben at the end of most sections (§§35, 48, 54, 59, 92, 97, 115, 141, 157, 166, 178, 185, 205).

Magnus’ Sammlung von Aufgaben und Lehrsätzen aus der analytischen Geometrie (1833, 1837) has chapters on Linien höherer Grade (Vol. 3, pp. 241–292) and Flächen höherer Grade (Vol. 4, pp. 377–425).

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You might find the works of George Salmon (1819-1903) interesting.

Amongst others, he wrote:

Here is his MacTutor bio.

JMP
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