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