That is, if the ball was tangent to the cylinder by the lateral face and its two bases, the volume was equal to 2/3. Archimedes wrote the treaty “Of the Sphere and the Cylinder” in order to demonstrate the relationship between the volumes of a ball and a cylinder. He utilized most notably his knowledge of mechanics in order to apply them to math. The Formulas for Volume The scientist made it a priority to calculate the areas and volumes of different objects. He also used the tangent to establish an equation of the circle (one segment where the length is equal to the circumference of the given circle). After many calculations, he therein deduced that the area of the spiral was equivalent to the radius of the circle that continued it. The Spiral of Archimedes The mathematician studied the composition of the spiral. Archimedes' shouting "eureka!" after his discovery It was using this method that he was able to find the number that approached the number pi as we know today (3.14159). To perform his calculations, the mathematician utilized regular polygons and combined this to calculate the relationship between the perimeter of a circle and its diameter. The Number Pi Archimedes is particularly known to have calculated pi to incredible precision. This permitted him to continue to expand upon his reflections on conic shapes, as well as calculate areas that were considered impossible to calculate before. The Method of Exhaustion Archimedes built upon the works of Eudoxus of Cnidus, which discussed how the method of exhaustion can be utilized in order to succeed in calculating the area found under a parabola. Here we give an outline on some of his greatest discoveries. For more mathematicians from antiquity, check out the infamous Pythagoras! Archimedes Facts and DiscoveriesĪrchimedes contributed to advancements in mathematics and the history of sciences. This alone is proof that Archimedes’ influence has traversed the ages. The word eureka translates into “I have found,” which explains why so many of us have uttered it after having found an object or idea we thought we had lost. The word “Eureka” was made popular by Archimedes, who it is said cried it out in the street to celebrate on of his major discoveries. Archimedes’ influence even extends to language. These great academics include Cicero, Plutarch and even Leonardo de Vinci. In other words, it was not only the great sages of his epoque that admired him, but he also inspired many other academics in the future.
Archimedes and his seminal works made an important mark not only on his era and but also the generations to come. It is necessary then to trust the witness accounts found many years after his death. Nothing else has been found over the period he was an engineer of the king. On the other hand, documents found only concern the work and publications of the mathematician. The documents that have been gathered on Archimedes’ life are not enough to establish whether or not the scientist had any wife or children. Legend has it that Archimedes was killed in 212 BCE by a roman soldier who had specifically been ordered not to execute him. He participated, therefore, in the defense of the city during the second Punic War. Later in life, Archimedes became an engineer for the king of Syracuse, Hiero II. It was to this audience of distinguished academics, and to the academics later inspired by these works, that Archimedes intended his scientific books. It was there that he rubbed shoulders with the most well known sages of the era, most notably Dositheus, Conon of Samos and also the director of the library of Alexandria, Eratosthenes. Astronomer, physicist and scientist - Archimedes changed mathematics forever According to texts documenting some exchanges that Archimedes had with certain professors, historians were able to glean that he continued his studies at the reputable School of Alexandria. With an astronomer for a father, Archimedes began to take an interest in and study sciences from a young age. It is estimated that Archimedes was born in Syracuse in 287 BCE. Some other scholars that mentioned the life of Archimedes range from Polybius (202-126 BCE), Plutarch (46-125BCE) and Livy (59-17BCE). What we do know comes mainly from the writings of Isadore of Miletus, who discussed him in approximately 530 BCE. There is no biography that was written by him and, in fact, only a couple of written texts have been found about the mathematician - a common problem for historians studying this era. Like many scientists of antiquity, the life of Archimedes of Syracuse was not well documented.
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