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

More documents

Recommendations

Info

$Math 215 Worksheet 1 (1) Is it true that between any two distinct real ...$

$Applied Calculus Math 215 - University of Hawaii$

$Math 215 Derivative Practice Problems & Solutions 2009 July 11 ...$

$Linear Algebra (Math 311) – Final$

18 (2) Descartes’ solution. a1 a3 F E D a2 k T S A R x α3 α4 d3 y α2 d2 B C ℓ = AG Set x = AB and y = CB. Angles in the configuration are largely known. α1 G d4 a4
Using essentially the Law of Sines, he computes that CB = y CD = r2y + r1x CF = r4y + r3r4k + r3r4x CH = r6y + r5r6ℓ + r5r6x, where k = AB, ℓ = AG, and the ri are fractions of sines of known angles. His conclusions: Same as above. (3) Descartes essentially created relations F(x, y) = 0 and functions y = f(x). 19
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 and 14: • The Problem: Given straight lin
Page 15 and 16: (1) In a Cartesian coordinate syste
Page 17: (d) Five lines: |A1x + B1y + C1||A2
Page 21 and 22: The question of dimension Figure 5

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

Create successful ePaper yourself

Delete template?

Save as template?