31. Ren?Descartes and Pierre Fermat both applied their newly discovered analytic geometry to the study of conics. 32. Descartes and Fermat independently developed analytic geometry , and a few decades later discrete problems by continuous ones. 33. In 1637, Ren?Descartes published " La G�om�trie ", inventing analytic geometry and introducing modern algebraic notation. 34. However, Yaglom shows that the common slope concept in analytic geometry corresponds to the " Galilean angle ". 35. They revamped the analytic geometry implicit in the split-complex number algebra into synthetic geometry of premises and deductions. 36. Related fields are real analytic geometry . 37. Ibn al-Haytham would develop analytic geometry . 38. Analytic geometry is widely used in physics and engineering, and also in aviation, rocketry, space science, and spaceflight.39. The unit hyperbola finds applications where the circle must be replaced with the hyperbola for purposes of analytic geometry . 40. In 1873 he became a full professor of Algebra, Geometry, Trigonometry and Analytic Geometry at the University of Valencia.
