Consider the problem: Cube equal squares and number. • Use al Khayyami's method and identify two conic sections whose intersection yields the solution (give the equations of the curves, and indicate whether they are circles, parabolas, hyperbolas, or ellipses). Sketch a figure showing the two curves. (The use of GeoGebra is recommended) Will the curves always intersect, regardless of the coefficients? Suggestion: Treat the problem as x³ = px² + pq², where p, q are lengths, and use the curve py = x². .

Consider the problem: Cube equal squares and number. • Use al Khayyami's method and identify two conic sections whose intersection yields the solution (give the equations of the curves, and indicate whether they are circles, parabolas, hyperbolas, or ellipses). Sketch a figure showing the two curves. (The use of GeoGebra is recommended) Will the curves always intersect, regardless of the coefficients? Suggestion: Treat the problem as x³ = px² + pq², where p, q are lengths, and use the curve py = x². .

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.2: Ellipses

Problem 52E

See similar textbooks