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  2. René Descartes - Wikipedia

    en.wikipedia.org/wiki/René_Descartes

    René Descartes (/ d eɪ ˈ k ɑːr t / day-KART or UK: / ˈ d eɪ k ɑːr t / DAY-kart; French: [ʁəne dekaʁt] ⓘ; [note 3] [11] 31 March 1596 – 11 February 1650) [12] [13]: 58 was a French philosopher, scientist, and mathematician, widely considered a seminal figure in the emergence of modern philosophy and science.

  3. Heliocentrism - Wikipedia

    en.wikipedia.org/wiki/Heliocentrism

    Andreas Cellarius's illustration of the Copernican system, from the Harmonia Macrocosmica. Heliocentrism [a] (also known as the heliocentric model) is a superseded astronomical model in which the Earth and planets revolve around the Sun at the center of the universe.

  4. Cube rule - Wikipedia

    en.wikipedia.org/wiki/Cube_rule

    Expected fraction of seats won, s vs fraction of votes received, v (solid black) according to the cube rule, with a plot of the seat:vote ratio (dashed red) The cube rule or cube law is an empirical observation regarding elections under the first-past-the-post system. The rule suggests that the party getting the most votes is over-represented ...

  5. The Cube Root of Uncertainty - Wikipedia

    en.wikipedia.org/wiki/The_Cube_Root_of_Uncertainty

    The Cube Root of Uncertainty is a collection of science fiction short stories by American writer Robert Silverberg, published in hardcover by Macmillan in 1970 and issued in paperback by Collier Books in 1971. No further editions have been issued. Contents "Introduction" "Passengers" (Orbit 4 1968) "Double Dare" (Galaxy 1956)

  6. Hypercube - Wikipedia

    en.wikipedia.org/wiki/Hypercube

    In geometry, a hypercube is an n-dimensional analogue of a square (n = 2) and a cube (n = 3).It is a closed, compact, convex figure whose 1-skeleton consists of groups of opposite parallel line segments aligned in each of the space's dimensions, perpendicular to each other and of the same length.

  7. Euclidean geometry - Wikipedia

    en.wikipedia.org/wiki/Euclidean_geometry

    Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry, Elements.Euclid's approach consists in assuming a small set of intuitively appealing axioms (postulates) and deducing many other propositions from these.

  8. Descartes' rule of signs - Wikipedia

    en.wikipedia.org/wiki/Descartes'_rule_of_signs

    In mathematics, Descartes' rule of signs, described by René Descartes in his La Géométrie, counts the roots of a polynomial by examining sign changes in its coefficients. The number of positive real roots is at most the number of sign changes in the sequence of polynomial's coefficients (omitting zero coefficients), and the difference ...

  9. Descartes' theorem - Wikipedia

    en.wikipedia.org/wiki/Descartes'_theorem

    Kissing circles. Given three mutually tangent circles (black), there are, in general, two possible answers (red) as to what radius a fourth tangent circle can have.In geometry, Descartes' theorem states that for every four kissing, or mutually tangent, circles, the radii of the circles satisfy a certain quadratic equation.

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