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  2. Constructible number - Wikipedia

    en.wikipedia.org/wiki/Constructible_number

    Constructible number. The square root of 2 is equal to the length of the hypotenuse of a right triangle with legs of length 1 and is therefore a constructible number. In geometry and algebra, a real number is constructible if and only if, given a line segment of unit length, a line segment of length can be constructed with compass and ...

  3. Meditations on First Philosophy - Wikipedia

    en.wikipedia.org/wiki/Meditations_on_First...

    Meditations on First Philosophy, in which the existence of God and the immortality of the soul are demonstrated ( Latin: Meditationes de Prima Philosophia, in qua Dei existentia et animæ immortalitas demonstratur) is a philosophical treatise by René Descartes first published in Latin in 1641. The French translation (by the Duke of Luynes with ...

  4. Lötschberg Tunnel - Wikipedia

    en.wikipedia.org/wiki/Lötschberg_Tunnel

    The Lötschberg Tunnel is a 14.612 km (9.079 mi) long railway tunnel on the Lötschberg Line, which connects Spiez and Brig at the northern end of the Simplon Tunnel cutting through the Bernese Alps of Switzerland. Its ends are at the towns of Kandersteg (2 km away) in the canton of Bern and Goppenstein in the canton of Valais. [2]

  5. La Géométrie - Wikipedia

    en.wikipedia.org/wiki/La_Géométrie

    t. e. La Géométrie was published in 1637 as an appendix to Discours de la méthode ( Discourse on the Method ), written by René Descartes. In the Discourse, Descartes presents his method for obtaining clarity on any subject. La Géométrie and two other appendices, also by Descartes, La Dioptrique ( Optics) and Les Météores ( Meteorology ...

  6. Cube root - Wikipedia

    en.wikipedia.org/wiki/Cube_root

    Cube root. In mathematics, a cube root of a number x is a number y such that y3 = x. All nonzero real numbers have exactly one real cube root and a pair of complex conjugate cube roots, and all nonzero complex numbers have three distinct complex cube roots. For example, the real cube root of 8, denoted , is 2, because 23 = 8, while the other ...

  7. Cartesian circle - Wikipedia

    en.wikipedia.org/wiki/Cartesian_circle

    Cartesian circle. The Cartesian circle (also known as Arnauld 's circle [1]) is an example of fallacious circular reasoning attributed to French philosopher René Descartes. He argued that the existence of God is proven by reliable perception, which is itself guaranteed by God.

  8. Tree of knowledge (philosophy) - Wikipedia

    en.wikipedia.org/wiki/Tree_of_knowledge_(philosophy)

    Tree of knowledge (philosophy) The tree of knowledge or tree of philosophy is a metaphor presented by the French philosopher René Descartes in the preface to the French translation of his work Principles of Philosophy to describe the relations among the different parts of philosophy in the shape of a tree. He describes knowledge as a tree.

  9. Pangrammatic window - Wikipedia

    en.wikipedia.org/wiki/Pangrammatic_window

    The shortest known naturally occurring pangrammatic window was discovered in October 2014 through an automated processing of Google's indexed webcorpus, found in a review of the movie Magnolia written by Todd Manlow on the website PopMatters, at 36 letters: [1] Further, fractal geometries are replicated on a human level in the production of ...