René Descartes and Analytic Geometry What is ... - Technion moodle

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14 Observations. (1) Without loss of generality di = dist(P,ai) because d ′ = d sin(α). P d ′ d α
(1) In a Cartesian coordinate system the distance of a point P = P(x, y) from a line a : Ax + By + C = 0 is given by the formula dist(P,a) = |Ax+By+C| √ A 2 +B 2 . 15
Page 1 and 2: MATH 327 ♦ History of Mathematics
Page 3 and 4: • Many problems of geometry can b
Page 5 and 6: René Descartes (1596-1650) • Les
Page 7 and 8: Discours de la Méthode (Discussion
Page 9 and 10: These long chains of perfectly simp
Page 11 and 12: On geometry • Replace the geometr
Page 13: • The Problem: Given straight lin
Page 17 and 18: (d) Five lines: |A1x + B1y + C1||A2
Page 19 and 20: Using essentially the Law of Sines,
Page 21 and 22: The question of dimension Figure 5

René Descartes and Analytic Geometry What is ... - Technion moodle

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