Note 448 — Chapter IV
Reading edition
Montucla (Hist. des Mathémat. vol. ii. p. 136) enthusiastically declares that ‘si Descartes eût manqué à l'esprit humain, Fermat l'eût remplacé en géométrie.’ Simson, the celebrated restorer of Greek geometry, said that Fermat was the only modern who understood porisms. See Trail's Account of Simson, 1812, 4to. pp. 18, 41. On the connexion between his views and the subsequent discovery of the differential calculus, see Brewster's Life of Newton, vol. ii. pp. 7, 8; and compare Comte, Philosophie Positive, vol. i. pp. 228, 229, 726, 727.