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  2. Descartes' theorem - Wikipedia

    en.wikipedia.org/wiki/Descartes'_theorem

    In geometry, Descartes' theorem states that for every four kissing, or mutually tangent, circles, the radii of the circles satisfy a certain quadratic equation. By solving this equation, one can construct a fourth circle tangent to three given, mutually tangent circles. The theorem is named after René Descartes, who stated it in 1643.

  3. 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.

  4. The World (book) - Wikipedia

    en.wikipedia.org/wiki/The_World_(book)

    The World, also called Treatise on the Light ( French title: Traité du monde et de la lumière ), is a book by René Descartes (1596–1650). Written between 1629 and 1633, it contains a nearly complete version of his philosophy, from method, to metaphysics, to physics and biology . Descartes espoused mechanical philosophy, a form of natural ...

  5. Mechanical explanations of gravitation - Wikipedia

    en.wikipedia.org/wiki/Mechanical_explanations_of...

    The parts of this matter tend to move in straight paths, but because they lie close together, they can not move freely, which according to Descartes implies that every motion is circular, so the aether is filled with vortices. Descartes also distinguishes between different forms and sizes of matter in which rough matter resists the circular ...

  6. Circular motion - Wikipedia

    en.wikipedia.org/wiki/Circular_motion

    t. e. In physics, circular motion is a movement of an object along the circumference of a circle or rotation along a circular arc. It can be uniform, with a constant rate of rotation and constant tangential speed, or non-uniform with a changing rate of rotation. The rotation around a fixed axis of a three-dimensional body involves the circular ...

  7. René Descartes - Wikipedia

    en.wikipedia.org/wiki/René_Descartes

    René Descartes ( / deɪˈkɑːrt / day-KART or UK: / ˈdeɪkɑːrt / DAY-kart; French: [ʁəne dekaʁt] ⓘ; Latinized: Renatus Cartesius; [note 3] [11] 31 March 1596 – 11 February 1650) [12] [13] [14] : 58 was a French philosopher, scientist, and mathematician, widely considered a seminal figure in the emergence of modern philosophy and ...

  8. History of Solar System formation and evolution hypotheses

    en.wikipedia.org/wiki/History_of_Solar_System...

    The most widely accepted model of planetary formation is known as the nebular hypothesis. This model posits that, 4.6 billion years ago, the Solar System was formed by the gravitational collapse of a giant molecular cloud spanning several light-years. Many stars, including the Sun, were formed within this collapsing cloud.

  9. Descartes' rule of signs - Wikipedia

    en.wikipedia.org/wiki/Descartes'_rule_of_signs

    Descartes' rule of signs. In mathematics, Descartes' rule of signs, first described by René Descartes in his work La Géométrie, is a technique for getting information on the number of positive real roots of a polynomial. It asserts that the number of positive roots is at most the number of sign changes in the sequence of polynomial's ...

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