Algebraic geometry

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…

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 number, we obtain it from the sum of the two numbers squared. Pythagoras’s theorem applies to geometry; however, it can…

Figure 2.1 is a polygon with 12 sides. The polygon is not convex, as there is at least one reex angle. The objective of the art gallery problem is to hire the most efficient number of guards required to have vision of each point inside of the polygon. Begin with the process of vertex guards. The most visually optimal way to prove the result _n 3 _ is by first triangulating the polygon. Every vertex of the polygon can be attached in such a way that the entire polygon is made up of solely…

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…

he wanted his son to follow in his footsteps. The reason that he didn’t was Bernoulli saw his mathematical potential and advocated for him to become a mathematician. Leonhard Euler didn’t just help in one specific part of math he helped in geometry, calculus, trigonometry, algebra, number theory, physics, lunar theory and astronomy. He is responsible for the function f (x),…

Scientist And Mathematicians Of The 1800s The purpose of this articulated essay is to inform the reader about two beings in the 19th century who contributed to the fields of mathematics and scientifics. so, may this article discuss to you the purpose of these two men and the ways they changed the world, through thick and thin , hard and easy, and how they showed the world their ill-minded ideas and turned them into objects that shaped it and the people who inhabit it. so, may this essay please…

Maurits Cornelis Escher, also known as M.C Escher, was a graphic artist between 1898 and 1972. He is most famous for his unique works that incorporated mathematics, specifically the manipulation of perspective and space. He developed an innovative style of both print and engraved art (“M.C. Escher Biography”). Some of his most well-known works include, “Relativity,” “Ascending and Descending,” “Hand with Reflecting Sphere,” and “Metamorphosis” (Gallery, “Most Popular”). M.C. Escher was born…

Over time, the Greek civilization has had many different and unique inventions. However, Greek Geometry was one of the most crucial inventions ever discovered. Geometry helped to find out precise measurements, construct advanced architecture, and become the leading civilization in mathematics. The invention was discovered by a mathematician named Euclid. He had many math theorems of his own, and later wrote his own book. The Elements contained all the works from previous Greek mathematicians,…

1. During group time, T along with the rest of his group were given the instructions by the gym teacher. She said, “I want you to see how many pull ups you can do. Don’t stop when you begin feeling pain, try and see if you can hold it a little longer.” T was the first person in his group to go. Before T went up to the bar, he turned his head half way to the side, just for his friend to see his face. He smirked and then quickly turned his head around and leaped toward the bar. The teacher asked T…

The mission of Julia Robinson Mathematics Festival activities is to pique students' interest in mathematics and problem solving. We also strive to open the minds of students who find math hard, tedious, and not useful. The Julia Robinson Mathematics Festival was founded in 2007 by Nancy Blachman to provide intellectual stimulation and to enable students to have fun exploring and making mathematical discoveries. What Happens at at Festival The Julia Robinson Mathematics Festival is a hands-on…