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  2. René Descartes - Wikipedia

    en.wikipedia.org/wiki/René_Descartes

    t. e. René Descartes (/ deɪˈkɑːrt / day-KART or UK: / ˈdeɪkɑːrt / 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. Mathematics was paramount ...

  3. Folium of Descartes - Wikipedia

    en.wikipedia.org/wiki/Folium_of_Descartes

    The folium of Descartes is related to the trisectrix of Maclaurin by affine transformation. To see this, start with the equation and change variables to find the equation in a coordinate system rotated 45 degrees. This amounts to setting. In the plane the equation is. If we stretch the curve in the direction by a factor of this becomes which is ...

  4. 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.

  5. Dioptrique - Wikipedia

    en.wikipedia.org/wiki/Dioptrique

    Dioptrique. La dioptrique (in English Dioptrique, Optics, or Dioptrics) is a short treatise by René Descartes. It was published in 1637 included in one of the Essays written with Discourse on the Method. In this essay Descartes uses various models to understand the properties of light. This essay is known as Descartes' greatest contribution to ...

  6. Straightedge and compass construction - Wikipedia

    en.wikipedia.org/wiki/Straightedge_and_compass...

    Doubling the cube is the construction, using only a straightedge and compass, of the edge of a cube that has twice the volume of a cube with a given edge. This is impossible because the cube root of 2, though algebraic, cannot be computed from integers by addition, subtraction, multiplication, division, and taking square roots.

  7. 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 ...

  8. Principles of Philosophy - Wikipedia

    en.wikipedia.org/wiki/Principles_of_Philosophy

    Principles of Philosophy (Latin: Principia Philosophiae) is a book by René Descartes. In essence, it is a synthesis of the Discourse on Method and Meditations on First Philosophy. [1] It was written in Latin, published in 1644 and dedicated to Elisabeth of Bohemia, with whom Descartes had a long-standing friendship.

  9. 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 ...

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