It was then notated that if triangle ABC is a right triangle, with a right angle at C, then c2 = a2 + b2. Earlier, the converse of this theorem appears to have been used. This became proposition number 47 from Book I of Euclid's Elements ("Pythagore Continue Reading...
Pythagorean Triple is a term derived specifically from the theorem that a right triangle displays the equation. This theorem, named aptly the Pythagorean Theorem, states that "in any right-angled triangle, the square on the hypotenuse equals the sum Continue Reading...
Pythagorean Theorem Ahmed has half of a treasure map, which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. Vanessa has the other half of the map. Her half indicates that to find the treasure, one must get to Castl Continue Reading...
Mathematical Happenings between Ancient Egypt and the 11th Century: Thales and Pythagoras Inspire the Grecian World In the 6th century, mathematics came to Greece and helped launch the next stage of mathematical evolution in the history of the West. Continue Reading...
He looks at three methods: history (melding information about the diverse geographical origins of algebra with the problems themselves), multiple representations (using notation, narrative, geometric, graphical, and other representations together to Continue Reading...
Chinese Mathematics In ancient China, the science of mathematics was subsumed under the larger practice of suan chu, or the "art of calculation." The Chinese are believed to be one of the first civilizations to develop and use the decimal numeral sy Continue Reading...
Euclid of Alexandria: 325 B.C. ~ 265 B.C. (?) The dates are not exact as little is known about Euclid's life. It is generally believed that he studied under the students of Plato and it is known that he established a school of mathematics and taught Continue Reading...
Aristoxenos, two centuries after Pythagoras released his model, sought to discredit the standing theories held by Pythagorean devotees. In his works, he established that numbers are not relevant to music, and that music is based on perception of wh Continue Reading...
Dark Age and the Archaic Age Having watched the lectures for the prior learning unit on video, I was prepared to enjoy the video lecture presentation for this learning unit. I previously found the presentation of lectures in the video format to be v Continue Reading...
