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the position of a point on a plane is defined by a length and a direction

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  • The Method of Mechanical Theorems — is a work by Archimedes which contains the first attested explicit use of infinitesimals.[1] The work was originally thought to be lost, but was rediscovered in the celebrated Archimedes Palimpsest. The palimpsest includes Archimedes account of… …   Wikipedia

  • Plane (geometry) — Two intersecting planes in three dimensional space In mathematics, a plane is a flat, two dimensional surface. A plane is the two dimensional analogue of a point (zero dimensions), a line (one dimension) and a space (three dimensions). Planes can …   Wikipedia

  • Exact sciences (The) in Hellenistic times: texts and issues — The exact sciences in Hellenistic times: Texts and issues1 Alan C.Bowen Modern scholars often rely on the history of Greco Latin science2 as a backdrop and support for interpreting past philosophical thought. Their warrant is the practice… …   History of philosophy

  • Ionians (The) — The Ionians Malcolm Schofield THALES AND OTHERS The Greeks agreed that philosophy had begun with Thales. However they did not know much about his views.1 What survives is mostly a potent legend. Herodotus tells stories of his practical ingenuity …   History of philosophy

  • Lagrangian point — The Lagrangian points (IPA en|ləˈgreɪndʒiən, IPA fr|lagʁɑ̃ʒjɑ̃; also Lagrange point, L point, or libration point), are the five positions in an orbital configuration where a small object affected only by gravity can theoretically be stationary… …   Wikipedia

  • Theoretical and experimental justification for the Schrödinger equation — The theoretical and experimental justification for the Schrödinger equation motivates the discovery of the Schrödinger equation, the equation that describes the dynamics of nonrelativistic particles. The motivation uses photons, which are… …   Wikipedia

  • Islam and slavery — The major juristic schools of Islam traditionally accepted the institution of slavery.Lewis 1994, [http://www.fordham.edu/halsall/med/lewis1.html Ch.1] ] Muhammad and many of his companions bought, sold, freed, and captured slaves. Slaves… …   Wikipedia

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  • Mathematics and Physical Sciences — ▪ 2003 Introduction Mathematics       Mathematics in 2002 was marked by two discoveries in number theory. The first may have practical implications; the second satisfied a 150 year old curiosity.       Computer scientist Manindra Agrawal of the… …   Universalium

  • Eigenvalues and eigenvectors — For more specific information regarding the eigenvalues and eigenvectors of matrices, see Eigendecomposition of a matrix. In this shear mapping the red arrow changes direction but the blue arrow does not. Therefore the blue arrow is an… …   Wikipedia

  • Greek arithmetic, geometry and harmonics: Thales to Plato — Ian Mueller INTRODUCTION: PROCLUS’ HISTORY OF GEOMETRY In a famous passage in Book VII of the Republic starting at Socrates proposes to inquire about the studies (mathēmata) needed to train the young people who will become leaders of the ideal… …   History of philosophy

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