Theoreme de guldin pdf

In englishspeaking countries, these two theorems are known as pappuss theorems, after the ancient greek geometer pappus of alexandria. Dans le second chapitre sont presentees les notions des moments dinertie qui sont des grandeurs. In mathematics, pappuss centroid theorem also known as the guldinus theorem, pappusguldinus theorem or pappuss theorem is either of two related theorems dealing with the surface areas and volumes of surfaces and solids of revolution. Mais ca, jai rien dans le cours et je pense ne jamais avoir vu ca en bac economie. This theorem is also known as the pappusguldinus theorem and pappuss centroid theorem, attributed to pappus of alexandria. Bees, then, know just this fact which is of service to them selves, that the hexagon is greater than the square and the triangle and will hold more honey for the same expendi ture of material used in constructing the di. In mathematics, pappuss centroid theorem also known as the guldinus theorem, pappus guldinus theorem or pappuss theorem is either of two related theorems dealing with the surface areas and volumes of surfaces and solids of revolution. Dec 09, 2016 en mathematiques, il existera toujours des choses vraies, mais indemontrables.

Lesson 45 centroid theorem of pappus guldinus volume and surface area. Moreover, very little is known of what his actual contributions were or even exactly when he lived. The theorems are attributed to pappus of alexandria and paul guldin. The pappus guldin theorems suppose that a plane curve is rotated about an axis external to the curve. Centre dinertie integration mathematiquescentre dinertie, na pu etre restituee correctement cidessus.

The geometriae pars universalis gpu by the scottish mathematician james gregory is a 17th century mathematics text which uses geometrical techniques to solve a variety of calculus problems, such as finding tangents, areas, and volumes of revolution. Ivor bulmerthomas writes about the question of whether guldin had known of pappuss work in an article in isis vol 75, 1984. This is the theorem of pappus or the pappus guldin theorem. We do know that he recorded in one of his commentaries on the almagest2 that he observed a. This page was last edited on 6 february 2019, at 10. Optimisation des procedes demboutissage par caracterisation. Guldin published his rediscovered version of pappuss results in 1641. Johannes kepler 15711630, bonaventura cavalieri 15981647 and habakkuk guldin 15771643, who later changed his first name to paul. All structured data from the file and property namespaces is available under the creative commons cc0 license. He discovered the guldinus theorem to determine the surface and the volume of a solid of revolution.