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Pythagorean theorem. --- Pythagore, Théorème de

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Pythagorean theorem. --- Fermat's theorem --- Fermat, Théorème de

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La relation entre l’hypoténuse et les autres côtés d’un triangle rectangle est l’une des découvertes scientifiques les plus importantes de l’humanité. Le théorème qui la décrit a pris le nom de Pythagore, l’un des personnages les plus fascinants et les plus surprenants de l’histoire de la science.

Pythagorean theorem --- Théorème de Pythagore --- Square root. --- Racine carrée. --- Théorème de Pythagore. --- Racine carrée. --- Théorème de Pythagore.

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Was Plato a Pythagorean? Plato's students and earliest critics thought so, but later scholars have been more skeptical. This book reconsiders this question by arguing that a specific type of Pythagorean philosophy, called 'mathematical' Pythagoreanism played a profound role in Plato's philosophy.

Philosophy, Ancient --- Mathematics, Ancient. --- Pythagorean theorem. --- Pythagoras and Pythagorean school. --- Philosophie ancienne --- Mathématiques anciennes --- Pythagore, Théorème de --- Pythagorisme --- Plato. --- Pythagoriciens --- Platon, --- Et les mathématiques --- Mathématiques anciennes --- Pythagore, Théorème de --- Mathematics, Ancient --- Pythagoras and Pythagorean school --- Pythagorean theorem --- Ancient mathematics --- Pythagoras' theorem --- Pythagorean proposition --- Theorem, Pythagorean --- Geometry, Plane --- Aflāṭūn --- Aplaton --- Bolatu --- Platonas --- Platone --- Po-la-tʻu --- Pʻŭllatʻo --- Pʻŭllatʻon --- Pʻuratʻon --- Πλάτων --- אפלטון --- פלאטא --- פלאטאן --- פלאטו --- أفلاطون --- 柏拉圖 --- 플라톤 --- Plato --- Platon --- Platoon --- Théorème de Pythagore --- Théorème de Pythagore. --- Pythagoriciens. --- Платон --- プラトン --- Et les mathématiques.

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By virtue of their special algebraic structures, Pythagorean-hodograph (PH) curves offer unique advantages for computer-aided design and manufacturing, robotics, motion control, path planning, computer graphics, animation, and related fields. This book offers a comprehensive and self-contained treatment of the mathematical theory of PH curves, including algorithms for their construction and examples of their practical applications. Special features include an emphasis on the interplay of ideas from algebra and geometry and their historical origins, detailed algorithm descriptions, and many figures and worked examples. The book may appeal, in whole or in part, to mathematicians, computer scientists, and engineers.

Mathematics. --- Computer graphics. --- Computer-aided engineering. --- Algebra. --- Computer mathematics. --- Geometry. --- Computational intelligence. --- Computer-Aided Engineering (CAD, CAE) and Design. --- Computational Mathematics and Numerical Analysis. --- Computer Imaging, Vision, Pattern Recognition and Graphics. --- Computational Intelligence. --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Mathematics --- Euclid's Elements --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Mathematical analysis --- CAE --- Engineering --- Automatic drafting --- Graphic data processing --- Graphics, Computer --- Computer art --- Graphic arts --- Engineering graphics --- Image processing --- Math --- Science --- Data processing --- Digital techniques --- Pythagorean-hodograph curves. --- Hodograph equations. --- Pythagorean theorem. --- Geometry, Analytic. --- Curves --- Computer-aided design. --- Calculus --- Conic sections --- Geometry, Analytic --- Geometry, Differential --- Geometry, Enumerative --- Shapes --- Analytical geometry --- Geometry, Algebraic --- Algebra --- Pythagoras' theorem --- Pythagorean proposition --- Theorem, Pythagorean --- Geometry, Plane --- Equations, Hodograph --- Differential equations, Partial --- Fluid mechanics --- PH curves --- Graphic methods --- Computer aided design. --- Computer science --- Computer vision. --- Engineering. --- Construction --- Industrial arts --- Technology --- Machine vision --- Vision, Computer --- Pattern recognition systems --- CAD (Computer-aided design) --- Computer-assisted design --- Computer-aided engineering --- Design --- Optical data processing. --- Optical computing --- Visual data processing --- Bionics --- Integrated optics --- Photonics --- Computers --- Optical equipment