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  2. Ptolemy's theorem - Wikipedia

    en.wikipedia.org/wiki/Ptolemy's_theorem

    Ptolemy's Theorem yields as a corollary a pretty theorem [2] regarding an equilateral triangle inscribed in a circle. Given An equilateral triangle inscribed on a circle and a point on the circle. The distance from the point to the most distant vertex of the triangle is the sum of the distances from the point to the two nearer vertices.

  3. Life on Mars - Wikipedia

    en.wikipedia.org/wiki/Life_on_Mars

    Conceivably, if life exists (or existed) on Mars, evidence of life could be found, or is best preserved, in the subsurface, away from present-day harsh surface conditions. [57] Present-day life on Mars, or its biosignatures, could occur kilometers below the surface, or in subsurface geothermal hot spots, or it could occur a few meters below the ...

  4. File:Animated visual proof of Ptolemy's theorem, based on ...

    en.wikipedia.org/wiki/File:Animated_visual_proof...

    English: Animated visual proof of Ptolemy's theorem, based on W. Derrick, J. Herstein (2012) Proof Without Words: Ptolemy's Theorem, The College Mathematics Journal, v 43, n 5, p 386 Date 22 May 2022

  5. Evidence of hot water that’s essential to life points to Mars ...

    www.aol.com/evidence-hot-water-essential-life...

    Researchers have uncovered what may be the oldest direct evidence of hot water activity on Mars, suggesting the red planet could have supported life billions of years ago.. Scientists at Australia ...

  6. NASA Made a World-Shaking Discovery: Compelling Evidence of ...

    www.aol.com/lifestyle/nasa-made-world-shaking...

    NASA Made a World-Shaking Discovery: Compelling Evidence of Past Life on Mars. Darren Orf. August 5, 2024 at 5:00 AM. NASA Finds Evidence of Past Martian Microbial Life buradaki - Getty Images.

  7. Ptolemy's inequality - Wikipedia

    en.wikipedia.org/wiki/Ptolemy's_inequality

    For four points in order around a circle, Ptolemy's inequality becomes an equality, known as Ptolemy's theorem: ¯ ¯ + ¯ ¯ = ¯ ¯. In the inversion-based proof of Ptolemy's inequality, transforming four co-circular points by an inversion centered at one of them causes the other three to become collinear, so the triangle equality for these three points (from which Ptolemy's inequality may ...

  8. Almagest - Wikipedia

    en.wikipedia.org/wiki/Almagest

    An edition in Latin of the Almagestum in 1515. The Almagest (/ ˈ æ l m ə dʒ ɛ s t / AL-mə-jest) is a 2nd-century mathematical and astronomical treatise on the apparent motions of the stars and planetary paths, written by Claudius Ptolemy (c. AD 100 – c. 170) in Koine Greek. [1]

  9. Mars Is About To Be at Its Brightest Since 2022—Here ... - AOL

    www.aol.com/lifestyle/mars-brightest-since-2022...

    It’s a job that promises a life full of discovery, exploring distant planets and witnessing the endless beauty of the universe. ... And we're about to witness Mars reaching opposition in 2025.