ratio or golden number”. (Eather, 2014) Phi is the only number whose square is the same value as itself plus 1. The Pythagoras theorem states that: given a right-angled triangle, the square of the two shorter sides are equal to the square of the hypotenuse. This can be demonstrated by: Using the Pythagoras theorem and the properties of phi we can demonstrate how the Great pyramid might possibly be…
Throughout the centuries, many people have tried to find shortcuts to make their lives simple. Usually described as lazy, mathematicians came along to see the patterns that no one else was able to see. These mathematicians helped reform their societies, and bring about equations that will help others calculate what they need faster. Upon these mathematicians, Pythagoras was most likely one of the most influential mathematicians that helped shape the way that people see shapes today. Through his…
Excel. The bacterium was tracked 10 intervals in 1.64 seconds. The units were changed from frames to seconds and pixels to micrometer. The position was given in x and y coordinates; therefore, Pythagorean theory was used to calculate the distance (hypotenuse) of the cell. To find the velocity, the distance in micrometers was divided by the time in seconds. The acceleration was found by dividing the velocity (m/s2) by time (s). Finally, three different graphs were drawn from the data: graph of…
Purpose The purpose of the lab is to design an experiment to verify the spring constant for an unknown spring, also known as k, how much a spring resists change (compression or expansion). We used a method changing a mass and measured the change in x. Theory Free Body Diagram a=0 Legend: ¬¬ a-acceleration Sp-Spring N-Normal S-Surface E-Earth C-Cart G-Gravity y- Y-Component x- X-Component Mathematical Model Basic Equations: Force Equation…
started his own religion called Mathematikoi. He is known for making many mathematic discoveries during his life. He was the first to prove that the sum of a triangle is equal to two right angles, and that in a right triangle, the square of the hypotenuse equals the sum of the square of the other two sides. It is believed that he came up with the tetracyts and the Pythagorean theorem. He is known as the beginning of mathematical culture and…
math was the basis of everything and everything of the world could be translated into math. The Pythagorean theorem was named after him. This math is considered geometry or solving the triangle. If the two legs of the triangle are known then the hypotenuse can be solved. They equations is C2 = A2+B2. Lastly the father of algebra Diophantus. Diophantus wrote books about math around 200 AD. His most notable work was with…
Alexander the Great believed to be one of the great kings of ancient Macedonia. In his short 13 year reign as king, he conquered more land than any other king in his time. At the age of twenty-two, he was crowned king of Greece. The impact Alexander the great had in his time is that he was the king of cultural diffusion. Alexander's conquests brought Europe, North Africa and the Middle East, and Asian under one ruler. This spiked trade immensely in these areas and all the cultures from the world…
John Winthrop for example, he also thought that our minds can know the truth and we can make right and wrong decisions. Franklin could be considered as Skepticism because he was a kind of person who does not trust in anything until he proves his hypotenuse to be true. Ben Franklin also believes that every person can become more "healthy, wealthy, and wise" through hard work and self-discipline. He was influenced by the science and he was also an inventor and a social innovator. This is the…
Bridge Design: Edmond Liu My popsicle bridge is based on a truss design, which is a bridge design held up by a connected structure composed of many smaller pieces. In particular, my bridge is a variation of the Queen Post Truss Bridge, which has two central supporting posts to allow for a greater span allowing for larger contact points. (http://pghbridges.com/basics.htm)…
Pythagoras of Samos was born around 570 BC on the island Samos in Greece. Little to no records or documents were written during his life, creating controversy and lack of reliable biographical information. Through the writings of students and followers of Pythagoras, historians have been able to create some understanding of his early life. Pythagoras is said to be the son of Mnesarchus and Pythais. He was raised on a small island off the coast of present day Turkey. His father being a merchant…