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  2. The World (book) - Wikipedia

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

    Descartes' Le Monde, 1664 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.

  3. Law of the United States - Wikipedia

    en.wikipedia.org/wiki/Law_of_the_United_States

    State laws have dramatically diverged in the centuries since independence, to the extent that the United States cannot be regarded as one legal system as to the majority of types of law traditionally under state control, but must be regarded as 50 separate systems of tort law, family law, property law, contract law, criminal law, and so on.

  4. History of Solar System formation and evolution hypotheses

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

    French philosopher and mathematician René Descartes was the first to propose a model for the origin of the Solar System in his book The World, written from 1629 to 1633.. In his view, the universe was filled with vortices of swirling particles, and both the Sun and planets had condensed from a large vortex that had contracted, which he thought could explain the circular motion of the plane

  5. Cubic equation - Wikipedia

    en.wikipedia.org/wiki/Cubic_equation

    The other roots of the equation are obtained either by changing of cube root or, equivalently, by multiplying the cube root by a primitive cube root of unity, that is . This formula for the roots is always correct except when p = q = 0 , with the proviso that if p = 0 , the square root is chosen so that C ≠ 0 .

  6. Square root - Wikipedia

    en.wikipedia.org/wiki/Square_root

    Notation for the (principal) square root of x. For example, √ 25 = 5, since 25 = 5 ⋅ 5, or 5 2 (5 squared). In mathematics, a square root of a number x is a number y such that =; in other words, a number y whose square (the result of multiplying the number by itself, or ) is x. [1]

  7. Descartes number - Wikipedia

    en.wikipedia.org/wiki/Descartes_number

    In number theory, a Descartes number is an odd number which would have been an odd perfect number if one of its composite factors were prime.They are named after René Descartes who observed that the number D = 3 2 ⋅7 2 ⋅11 2 ⋅13 2 ⋅22021 = (3⋅1001) 2 ⋅ (22⋅1001 − 1) = 198585576189 would be an odd perfect number if only 22021 were a prime number, since the sum-of-divisors ...

  8. Rule of law - Wikipedia

    en.wikipedia.org/wiki/Rule_of_law

    The rule of law is a political ideal that all people and institutions within a country, state, or community are accountable to the same laws, including lawmakers and leaders. [2] [3] It is sometimes stated simply as "no one is above the law". [4] The term rule of law is closely related to constitutionalism as well as Rechtsstaat. It refers to a ...

  9. Cartesianism - Wikipedia

    en.wikipedia.org/wiki/Cartesianism

    In the Netherlands, where Descartes had lived for a long time, Cartesianism was a doctrine popular mainly among university professors and lecturers.In Germany the influence of this doctrine was not relevant and followers of Cartesianism in the German-speaking border regions between these countries (e.g., the iatromathematician Yvo Gaukes from East Frisia) frequently chose to publish their ...