Find parametric equations for the set of all points P as shown in the figure, where a = 3, such that |OP| = |AB|. (This curve is called the cissoid of Diocles after the Greek scholar Diocles, who introduced the cissoid as a graphical method for constructing the edge of a cube whose volume is twice that of a given cube. Enter your answer as a comma-separated list of equations. Let x and y be in terms of 0.) a B x = 2a X

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 35E
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Find parametric equations for the set of all points P as shown in the figure, where a = 3, such that |OP| = |AB|. (This curve is called the cissoid of Diocles after the Greek scholar Diocles, who introduced the
cissoid as a graphical method for constructing the edge of a cube whose volume is twice that of a given cube. Enter your answer as a comma-separated list of equations. Let x and y be in terms of 0.)
x = 2a
Ø
B
Transcribed Image Text:Find parametric equations for the set of all points P as shown in the figure, where a = 3, such that |OP| = |AB|. (This curve is called the cissoid of Diocles after the Greek scholar Diocles, who introduced the cissoid as a graphical method for constructing the edge of a cube whose volume is twice that of a given cube. Enter your answer as a comma-separated list of equations. Let x and y be in terms of 0.) x = 2a Ø B
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