Arquimedes Work realized by : Bernardo Damásio nº5 Joana Bigodinho nº9 João Caçoila nº10

Biography Arquimedes was born in Siracusa (present Sicily,) in 287 a.C. When he was young, he studied in Alexandria, and it is thought that he was Euclids’ pupil . After return to his native land, Arquimedes made numberless investigations and discoveries in the areas of Mathematics, Mechanics and Hydrostatics detaching them to the long of your principally like inventing and mathematical life. Arquimedes was dead by mistake for a Roman soldier, in the year of 212 a.C. In Siracura.

Works - Hydrostatics He discovered the Law of the Impulsion or Beginnig of Arquimedes, through your celebrated experience of the bathtub: It is said that, Hierão, king of Siracusa, ordered a crown of gold, but went raised the accusation of which the goldsmith had deceived him, by mixing the massive gold with silver in your confection. To discover whether your interior was containing a made part of silver and without damaging the object, Hierão asked for Arquimedes ajuda. This, one put to look for the solution for the problem, which occurred during a bath. The legend affirms Arquimedes would have noticed a quantity of corresponding water to your its volume was overflowing of the bathtub when he blocks in her and what, using an alike method, could compare the volume of the crown with the volumes of equal weights of silver and gold: Put them in a full container over water, and will measure the quantity of shed liquid was sufficing. Happy with that fantastic discovery, Arquimedes bare saíu to the street shouting "Eureka! Eureka! (I met! I met!').

Arquimedes get out of the bathtube He goes to the street, yelling ‘’EUREKA’’

Military creations In the Second war Púnica, against the powerful army Romans, Arquimedes created various apparatuses: You catapult comprehensive to throw blocks of stone on the inimical galleys; The machines of war of your invention, that were throwing javelins and stones of even 150kg were them principal responsible persons for the defeats imposed by Greeks to the army of Marcelo, Roman general that was besieging Siracusa. An enormous game of concave mirrors, licentiates for the shields of Greek soldiers', bronze what were directing the sunshine to a same point of a ship, c om the objective of that will set fire. Gigantic derricks that were elevating the prow of the Roman ships, by sinking them for the poop;

Game of concave mirrors Giant Catapult

Mathematical creations Arquimedes, in a circle given, inscribed and a polygon of 96 sides circumscribed and the formula for the calculation of the area of the circle and, for much obtained séculos, the more most judicious value for π; Arquimedes demonstrated the transverse area contained by a parabola and a straight ones is 4/ 3 of the area of the triangle, with the same base and some one v értice is the point where the tangent to the parabola is parallel to the base She the treaty on spirals described the like Spiral curve known today of Arquimedes (in polar coordinates equation has r = the + b θ) and for the first time that determined the tangent a curve that is not the circle. Of unpublished form, Arquimedes presented the first limit concepts and differential calculation, approximately 19 centuries before Newton.

Arquimedes Spiral

Other notable inventions A made of tubes in propeller, fixed to an axis inclined with a crank to make it turn mechanism. For purpose elevating water to a higher plan, known how Arquimedes Screw has. a rudimentary process, is but that still he is used to long of the river Nile;  Says Plutarch Arquimedes dragged one of the galleys of king Herão, so sweet and how one navigated in full sea, just moving with your hand the extremity uniformly of an artfulness that was consisting in a block with pulleys and ropes. ; Arquimedes built a hydraulic breathtaking mechanism, with moving spheres that were representing the Sun, the Moon and the five planets then known, by one can observe the phases and that eclipses of the Moon. Ultimately, a planetary child.

Arquimedes Screw

Works Of the Balance of the Plans Of the Floating The Arenário Of the Quadrature of the Parabola Of the Sphere and the Cylinde Of the Measure of the Circle Of the Conoids and Spiral Spheroids Das Exhale Mottos Of the Relative Method to the Mechanical Theorems