Review the משנה דף לח: (bottom of the Amud)
Is the case of immersing a pipe of cold water inside the חמי טבריא on Friday or Shabbos?
Is the water flowing through the pipe or stationary in the pipe?
Is the water from the pipe mixing with the water of the חמי טבריא or remaining separate?
Why is the water prohibited?
How does Rashi explain the case?
Learn the ר”ן
https://hebrewbooks.org/pdfpager.aspx?req=37953&st=&pgnum=585
Learn תוספת דף לח: “מעשה
Write out the three explanations of Tosfos
Major Question:
How are the reasons why one may not use the water that was heated up inside the חמי טבריא consistent with reason why it is prohibited to immerse an egg in hot sand on Shabbos?
Learn רשב”א דף לט: “אמר רב חסדא
https://hebrewbooks.org/pdfpager.aspx?req=40907&st=&pgnum=59