Pythagorean theorem

The Greek mathematician and philosopher Pythagoras (c. 580-c. 500 B.C.) is one of the few figures in ancient times, or indeed in any age, who warrants comparison to the extraordinary Imhotep. Although he is best known for his famous geometrical theorem, his accomplishments ranged far beyond mathematics and involved areas as diverse as music, politics, and religion. Like Imhotep, he was a figure larger than life. Some historians suggest that he never really lived; in fact it appears highly likely…

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…

Dear 7th Grade student; You probably don’t know who Pythagoras is and you probably don’t care. Well, after this, you will care. But if you do know who he is by some off chance, great! To you, this will just be a refresher, while for some this is completely new. So, Pythagoras was a mathematical genius. He was respected by all who followed him. But he was feared by most because of his “powers”. Those who followed him were part of a cult or following, and they were serious about what they did.…

In mathematics, the Pythagorean theorem is known as a fundamental relation in Euclidean geometry among the three sides of a right triangle. This theorem was named after him. For example, a right triangle is a triangle with a right angle; square corners adjacent sides also called square corners of the triangle beside it; hypotenuse is the side opposite the right angle. In the figure below, a and b are adjacent sides (square corners), c is the hypotenuse: Pythagoras theorem stated his name in the…

Greek mathematician, philosopher, and the founder of the Pythagorean brotherhood. He spent his early years traveling throughout Egypt, learning about mathematics. After his travels, Pythagoras settled in a Greek colony in southern Italy named Croton. Pythagoras founded the Brotherhood of Pythagoreans which was a group dedicated to mathematics. Pythagoras is most known for the founding of the Pythagorean Theorem. The Brotherhood of Pythagoreans was founded after Pythagoras settled in Croton. This…

The Pythagorean theorem has helped many mathematicians and others and will continue to help out for many years to come. Pythagoras did much more than just contribute the Pythagorean theorem to mathematicians. He also introduced irrational numbers, which many believe that this was done by his students rather than him. They believe this because Pythagoras…

Using his continuing understanding of the world around him, he was able to create music by breaking up a vibrating string and create cords. Bronoweski states that “to the Pythagoreans that discovery had a mystic force” (156). It is important to understand the “mystic force” as the spiritual understanding of the world around him. The religious and spiritual influence on Pythagoras’s work is evident when Bronoweski states that…

Pythagoras Pythagoras of Samos is often referred to as the first mathematician. Although he studied multiple principles of math and made other discoveries of such he is most well known for proving that the trigonometry basis, Pythagorean Theorem, exists. In fact the Pythagorean Theorem is named after him! Other contributions he made or discovered are; the sum of the angle is a triangles equal to two right angles, construction figures of a given area with geometrical algebra, discovery of…

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…

Literature uses the solitude to create strength and society follows with that prophecy as people believe it takes strength that loneliness brings. The belly of the whale only emphasizes the commitment they attach to themselves at this point since the old world has become out of reach and they must focus on finding the exit of this predicament in which they find themselves and when they do it obviously, they will find a new world that leads to the continuation of the journey and get around the…