https://padlet.com/jamy5286/w6yd4nq9emegmvzt Made with a wish on a star en-us 2020-08-07 20:37:26 UTC 2026-01-25 21:13:22 UTC hello@padlet.com jamy5286 https://padlet.com/jamy5286/w6yd4nq9emegmvzt/wish/672850083 In this textbook written by Euclid, born in Alexandria, Egypt around 300 BC. He gathers all the known axioms at the time and uses them to create new theorems by combining them in such a way that he was able to extrapolate these new theorems. It was a new form of proving axioms to be either true or false, this technique is still used today. This was the first time in the ancient world that anyone had done this and it brought about a new way of thinking and problem solving. The advancements made by his works pales in comparison too the advancement made by humanity using Euclid's technique illustrated by his work the element. This textbook is still used too this day and is the quintessential guide to finding proof and demonstrating that proof.]]> 2020-08-07 21:52:12 UTC https://padlet.com/jamy5286/w6yd4nq9emegmvzt/wish/672850083 jamy5286 https://padlet.com/jamy5286/w6yd4nq9emegmvzt/wish/672856978 Born 287 BC, in Sicily, Greece. In the image above is Archimedes in his bath during the moment he had his famous "Eureka" moment. It was then that he had a series of realizations about how to solve a problem the king had set him out too solve, little did he know how useful was the method he had created and all using a widely known and understood too, the fulcrum and leaver. He discovered by placing an object on either side of a leaver and changing the position of the fulcrum, he could understand the relationship between two objects and their mass. First he used it to solve the kings problem and was able too deduce that the crown he had a craftsman make for him was cut by silver and the rest of the gold pocketed by the craftsman. He then went on to discover the relationship between a cone, a sphere and a rectangle. For the fist time ever man could understand the relationship of those shapes and their mass. This was something that we can easily solve with algebra but he did it without in a brute force method. He preformed algebraic equations without the use of algebra. His method was lost throughout the ages several times but eventually in 1800s his writings about it were discovered and lost yet again. In the early 90's the writings were found again and reconstructed using advanced technologies so now humanity now knows for sure what Archimedes method was, in his own words.]]> 2020-08-07 22:07:27 UTC https://padlet.com/jamy5286/w6yd4nq9emegmvzt/wish/672856978 jamy5286 https://padlet.com/jamy5286/w6yd4nq9emegmvzt/wish/672902202 This is how Euclid proposes that one should make a hexagon with only a compass and a straight edged ruler. Euclid was the master of two dimensional geometry of his time, he had all known previous knowledge of planar geometry and used those axioms to test others and create new postulates. ]]> 2020-08-07 23:55:11 UTC https://padlet.com/jamy5286/w6yd4nq9emegmvzt/wish/672902202 jamy5286 https://padlet.com/jamy5286/w6yd4nq9emegmvzt/wish/672904292 One famous quote of Archimedes is "Give me a leaver long enough and a fulcrum on which to place it and I shall move the world." Indeed while the idea is completely impossible in reality, the concept of using leavers and fulcrums to move things that one would believe to be impossible. To Archimedes, the leaver and fulcrum were his most prized tools.]]> 2020-08-08 00:00:41 UTC https://padlet.com/jamy5286/w6yd4nq9emegmvzt/wish/672904292 jamy5286 https://padlet.com/jamy5286/w6yd4nq9emegmvzt/wish/672907268 2020-08-08 00:08:45 UTC https://padlet.com/jamy5286/w6yd4nq9emegmvzt/wish/672907268 jamy5286 https://padlet.com/jamy5286/w6yd4nq9emegmvzt/wish/672909181 Though this is not a depiction of Euclid teaching his students, it is however an illustration of a woman teaching her students using Euclid's Elements. More than a thousand years later his textbook would still be used, all the way till today, using tools crafted after the same ones Euclid would have used to teach his own students.]]> 2020-08-08 00:14:00 UTC https://padlet.com/jamy5286/w6yd4nq9emegmvzt/wish/672909181 jamy5286 https://padlet.com/jamy5286/w6yd4nq9emegmvzt/wish/672915883 2020-08-08 00:32:38 UTC https://padlet.com/jamy5286/w6yd4nq9emegmvzt/wish/672915883 jamy5286 https://padlet.com/jamy5286/w6yd4nq9emegmvzt/wish/672916171 2020-08-08 00:33:28 UTC https://padlet.com/jamy5286/w6yd4nq9emegmvzt/wish/672916171 jamy5286 https://padlet.com/jamy5286/w6yd4nq9emegmvzt/wish/672916500 2020-08-08 00:34:19 UTC https://padlet.com/jamy5286/w6yd4nq9emegmvzt/wish/672916500 jamy5286 https://padlet.com/jamy5286/w6yd4nq9emegmvzt/wish/672916820 2020-08-08 00:34:59 UTC https://padlet.com/jamy5286/w6yd4nq9emegmvzt/wish/672916820 jamy5286 https://padlet.com/jamy5286/w6yd4nq9emegmvzt/wish/672916939 Born in France, 1596. Before I explain the math of Descartes it is important to first explain a little about the man too better understand how he came about his mathematical discoveries. He would become a very multifaceted individual. A philosopher,  scientist, biologist and mathematician. When he was in twenties he suffered an episode while dreaming where he believed he had been given a vision where a divine spirit revealed to him a new philosophy. This philosophy was a marriage between mathematical method and philosophy, he believed that by finding some core truth, all secrets of the universe could be laid bare. His search for these truths lead him to many discoveries in all fields of science. His most prized discovery to the field of algebra and geometry was Cartesian Geometry and the Cartesian graph.  What was very important was he finally brought algebraic equations into geometry, this was a turning point for geometry as a discipline. This provided a basis for the development of calculus. His works would be the guiding force behind Newton. He even created the rule of signs and made strides in the science of optics. Truly we would not be where we are without the accomplishments of Descartes, one would be hard pressed to find someone with more influence over such a wide array of disciplines.]]> 2020-08-08 00:35:20 UTC https://padlet.com/jamy5286/w6yd4nq9emegmvzt/wish/672916939 jamy5286 https://padlet.com/jamy5286/w6yd4nq9emegmvzt/wish/672928808 2020-08-08 01:08:38 UTC https://padlet.com/jamy5286/w6yd4nq9emegmvzt/wish/672928808 jamy5286 https://padlet.com/jamy5286/w6yd4nq9emegmvzt/wish/672929162 2020-08-08 01:09:41 UTC https://padlet.com/jamy5286/w6yd4nq9emegmvzt/wish/672929162