Binomial theorem

In order to answer this question, keywords that have to be interpreted are “a network of ways of knowing.” A network of ways of knowing implies how certain ways of knowing relate or intertwine with each other. Therefore, the statement “in gaining knowledge, each area of knowledge uses a network of ways of knowing,” suggests how certain ways of knowing intertwine with each other when gaining knowledge, in any given area of knowledge. Which leads to the question: to what extent can a network of…

traveled to learn all that he could. He traveled to places like Egypt and Crete to learn math and science concepts, but he a;so went to learn about the origins of their gods, that was a real interest of his. Pythagoras sounds a lot like the Pythagorean theorem, which should be the case because Pythagoras credited for creating the phylogram theorem.The pythagoreamtheorrelated diretclywoth thieangleswith geometry. It states that for a right triangle, the square of 2 sides is equal…

algebra, alphabet, almanac, and various forms of math and astronomy to the spiritual wonderings of Pythagoras and the spread of Islam throughout the world. Religion has given us, modern students of mathematics, the opportunity to study the same theorems as Pythagoras, Euclid, and other Islamic…

Nikhita Guntu and Laya Biddala Archimedes Background Information: Archimedes, (born c. 287 bce, Syracuse, Sicily,—died 212/211 bce, Syracuse), the most-famous mathematician and inventor in ancient Greece. Archimedes was the son of the mathematician and astronomer named Phidias. There is very little information left behind on Archimedes’ family. Some say he came from a noble family, while others claim he was related to the King of Syracuse. However, evidence shows that Archimedes traveled to…

series. He made many in depth analytics in order for the aim to solve various mathematical problems by bringing to light new and novel ideas that gave impetus to progress of game theory. He was such a mathematical genius that he discovered his own theorems of different kinds. Ramanujan stands upright most of the time, he is one of the greatest minds who ever been born on Earth. in Mathematics, nothing prevented him to live in the realm of Mathematics. And in this remarkable career as a…

This math challenge was easy to approach, because I realized that the lines O1O, O1O2, and O2O1, form a triangle, I realized that if that triangle was a right triangle I could find the distance between O1, and O. To prove that triangle OO1O2 is a right triangle I used the radii of O1, I realized that the sides of triangle PO1Q, O1P, and O1Q, are radii, and therefore they are equal. Since they are equal, the triangle PO1Q, is an isosceles triangle. In an isosceles triangle the base angles are…

The theorem used to find the hypotenuse, adjacent, or opposite sides of a triangle is also used in Euclidian Geometry. “A” squared plus “B” squared equals “C” squared is the formula used in the theorem. For example, we are given two numbers in the sides of a triangle; if we are given the adjacent and opposite sides, and we must figure out the hypotenuse, we will be required to use the Pythagorean Theorem. The two numbers given are squared, and our third…

Pythagoras is a greek mathematician and astronomer. He is best known for the Pythagorean theorem but is also known for other math related theories. He founded a group called the Pythagoreans, who also are credited to math related theories. He also has many astronomical theories, some proven and some disproven. Pythagoras was born around 570 BC in Samos, Greece. His dad was a traveling merchant, so his mom had to raise his siblings and him by herself most of the time but Pythagoras did travel…

to 19?” (HISTORY OF MATHEMATICS, n.d.). Originated from the Greeks, comes the Pythagorean Theorem. This equation is use to find the longest side of a right triangle A2 + B2 = C2 (hypotenuse). Also coming from the Pythagoras is the belief that a triangle, having three sides is equal to 180 degrees. Two of the well- known name in math is Euclid and Archimedes. Euclid wrote thirteen books of geometrical theorems, while Archimedes figured out calculations of volume and surface area of a cylinder and…

opened the book once more. PROOFS OF THE THEOREM, one chapter was titled. I groaned and shook my head. This was really the book he had wanted. “This is crazy.” I said to myself before leaving to collect more…