Recent content by urdsirdusrnam
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Graduate Shape of curves where product of distances equals b in Spivak's lemniscate problem
Yes d1 was the distance from the point (-a,0) to a point in the curve P(x,y) and d2 is the distance from the point (a,0) to the same point. I could graph the curves only because I typed the equations on Wolfram. Is there any algebraic/geometric argument I could use to graph them without a...- urdsirdusrnam
- Post #3
- Forum: Calculus
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Graduate Shape of curves where product of distances equals b in Spivak's lemniscate problem
This is from Spivak's Calculus. In an appendix, he defines polar coordinates. One of the exercises in this appendix is showing that the lemniscate, whose polar equation is: r^2=2(a^2)*cos(2theta) is the set of points P that satisfy that the product of the distances from said point to two...- urdsirdusrnam
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- Curves Shape
- Replies: 2
- Forum: Calculus