Ellipses Inscribed in, and Circumscribed about, Quadrilaterals

1. Locus of Centers, Maximal Area, and Minimal Eccentricity. 2. Ellipses inscribed in parallelograms. 3. Area Inequality. 4. Midpoint Diagonal Quadrilaterals. 5.Tangency Points as Midpoints of sides of Q. 6. Dynamics of Ellipses inscribed in Quadrilaterals. 7. Algorithms for Inscribed Ellipses. 8.Non-parallelograms. 9. Parallelograms. 10. Bielliptic Quadrilaterals. 11. Algorithms for Circumscribed Ellipses. 12. Related Research and Open Questions.

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• Matemática aplicada
• Geometria
• Álgebra
• Grupos e teoria do grupo

Non-line dynamic modeling;yarn spinning systems;yarn fineness;yarn diametric unevenness,;yarn faults