Curves named after this shape have equation y-squared equals x-cubed plus a times x plus b and were used to help prove Fermat's Last Theorem.
Curves named after this shape have equation y-squared equals x-cubed plus a times x plus b and were used to help prove Fermat's Last Theorem. If points A, B, and C are marked on a trammel, and B and C are allowed to move freely on two perpendicular lines, then A will trace out one of these figures. These simplest Lissajous figures are the shapes of the paths of objects trapped in (*) orbit by inverse-square forces like gravity. This figure with positive eccentricity less than one has area equal to pi times the product of its semi- axes, and this figure is the set of all points the sum of whose distances to two foci are constant. For ten points, identify this oval-shaped conic section.
Curves named after this shape have equation y-squared equals x-cubed plus a times x plus b and were used to help prove Fermat's Last Theorem.
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