In this task you will be given a text passage from a trivia quiz. You should choose the category this question belongs to from these categories: History, Science, Social Science, Fine Arts, Literature. You can only choose one category, so if in doubt, please choose the closest match.

man included a long wing ending in a series of dovecotes for a Bagnolo building; that structure also includes a barrel-vaulted main room. One building designed by this man includes frescoes by Battista Franco and was nicknamed "La Malcontenta," his Villa Foscari. He also designed an edifice whose bell tower collapsed in 1774, the Church of San Giorgio Maggiore. One of this man's most famous structures is a dome whose design was altered by his fellow architect Scamozzi after his death. That villa contains a large central dome. For 10 points, name this architect of the Villa Rotunda who wrote the Four Books of Architecture.
Fine Arts

By averaging this quantity, the reduction of a certain intermolecular function to an angle-independent form for polar fluids can be performed in order to express conformal-solution theory. For liquid metals, the upper bound of this quantity can be obtained by the Gibbs-Bogoliubov inequality. It is equal to the negative product of Boltzmann's constant, temperature, and the natural log of the partition function. The change in this quantity is equal to the maximum work accompanying a process, and it is defined as internal energy minus the product of temperature and entropy. For 10 points, name this quantity symbolized by either A or F, a type of free energy named for a German scientist.
Science

Materials of this type often form sheathes that satisfy a criterion named for Bohm. The namesake frequency of these substances is given in mks by the electron charge times the square root of the quantity number density over permittivity times electron-ion reduced mass and their namesake waves are also named for Langmuir, who discovered them. They are quasi-neutral in a Debye sphere, the radius of which, the Debye length, characterizes their charge shielding; however, many of the atoms in matter of this phase are ionized. FTP, name these collections of dissociated electrons and ions, the so-called fourth phase of matter.
Science