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  1. Is There a Fifth Order 3D Pythagorean Theorem? - Physics Forums

    Jun 30, 2004 · The discussion explores the possibility of a fifth-order 3D Pythagorean theorem, building on the equation a^3 + b^3 + c^3 = d^3, exemplified by 3^3 + 4^3 + 5^3 = 6^3. Participants debate …

  2. Is this possible? [Pythagorean theorem in 3D] - Physics Forums

    Apr 2, 2009 · Is this possible? [Pythagorean theorem in 3D] Georgepowell Mar 31, 2009 3d Theorem

  3. Understanding the Pythagorean Theorem - Physics Forums

    Feb 28, 2025 · Hello everyone, I wanted to start a discussion about the Pythagorean Theorem. It's one of the fundamental concepts in mathematics, stating that in a right-angled triangle, the square of the …

  4. Can any triangle use the Pythagorean theorem? - Physics Forums

    Jan 22, 2011 · The Pythagorean theorem specifically applies to right triangles, allowing the calculation of the hypotenuse based on the lengths of the other two sides. In the case of a 45-45-90 triangle, the …

  5. Fermat's Last Theorem - Physics Forums

    May 18, 2025 · Consequences of the modularity theorem include Fermat’s Last Theorem and the well-defined nature of the Birch-Swinnerton-Dyer conjecture, since the modularity theorem guarantees an …

  6. Triangle law of vector addition and the Pythagoras theorem

    Jul 19, 2019 · The discussion clarifies the distinction between the triangle law of vector addition and the Pythagorean theorem. The triangle law refers to the addition of vectors, where the resultant vector's …

  7. SOHCAHTOA: Seemingly Simple, Conceivably Complex

    Oct 31, 2019 · The Pythagorean Theorem Complex number can be represented in the u-v plane as an ordered pair {u,v}. Equations (4) and (5) indicate that a parametric curve with as the parameter can …

  8. A Geometrical View of Time Dilation and the Twin Paradox

    Nov 12, 2015 · The world lines may be parametrised as We can now compute the proper time from the time coordinate taking values to for both world lines using the modified Pythagorean theorem and …

  9. Deriving Invariant Distance in Space Time: Pythagorean Theorem

    Dec 27, 2011 · Why in deriving invariant distance in space time we use Pythagorean Theorem with a negative sign?

  10. Disproving Pythagorean Theorem - Physics Forums

    Sep 17, 2013 · Ever since I was in grade school I have been fascinated with the idea that the Pythagorean theorem, or any other universally respected theorem, could be wrong. When I was …