He appears to have attended Dirichlet's lectures on theory of numbers, theory of definite integrals, and partial differential equations, and Jacobi's on analytical mechanics and higher algebra.
And putting a=b, Maclaurin's solution is obtained of If 1 - =o or 8 3 =1" in addition, we obtain the solution of Jacobi's the rotating spheroid.
It was in analytical development that Jacobi's peculiar power mainly lay, and he made many important contributions of this kind to other departments of mathematics, as a glance at the long list of papers that were published by him in Crelle's Journal and elsewhere from 1826 onwards will sufficiently indicate.
The "Aphorisms on Naturphilosophie" contained in the Jahrbiicher der Medicin als Wissenschaft (1806-1808) are for the most part extracts from the Wiirzburg lectures; and the Denkmal der Schrift von den gottlichen Dingen des Herrn Jacobi wasdrawn forth by the special incident of Jacobi's work.
Fries's point of view in philosophy may be described as a modified Kantianism, an attempt to reconcile the criticism of Kant and Jacobi's philosophy of belief.
From this point of view we may even see a truth in Jacobi's dictum as quoted by Sir W.