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Constructions on the Lemniscate

Constructions on the Lemniscate. The Lemniscatic Function and Abel’s Theorem. What is the lemniscate ?. What is the lemniscate ?. Who studied the lemniscate ?.

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Constructions on the Lemniscate

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  1. Constructions on the Lemniscate The Lemniscatic Function and Abel’s Theorem

  2. What is the lemniscate?

  3. What is the lemniscate?

  4. Who studied the lemniscate? Niels Abel Jacob Bernoulli Ferdinand Eisenstein Leonhard Euler Carl Gauss

  5. Arc Length

  6. Arc Length

  7. Arc Length

  8. Arc Length

  9. The Lemniscatic Function

  10. The Lemniscatic Function

  11. The Lemniscatic Function The Sine Function The Lemniscatic Function

  12. Basic Identities The Sine Function The Lemniscatic Function

  13. Basic Identities

  14. Basic Identities

  15. The Addition Law The Sine Function The Lemniscatic Function

  16. The Addition Law

  17. Multiplication by Integers

  18. Multiplication by Integers

  19. Multiplication by Integers

  20. Multiplication by Integers

  21. Constructions

  22. Constructions

  23. Constructions

  24. Constructions

  25. Abel’s Theorem

  26. Abel’s Theorem

  27. Abel’s Theorem

  28. Abel’s Theorem

  29. Abel’s Theorem

  30. Abel’s Theorem

  31. Abel’s Theorem

  32. The End Thank you for coming! Special thanks to Dr. Hagedorn for his many valuable insights

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