Hypatia posed the following problem in her paper on Diophantus: Find a number that satisfies these two conditions: (1) it is the sum of two squares, and (2) its square is also the sum of two squares. Many solutions exist. Hypatia studied a whole class of numbers that could be solutions. These numbers are of the form 4n + 1, where n = 1, 2, 3, and so on, and …show more content…
We don't notice the importance of this conic, but it really has an impact on the world. Ellipses are really important because planets take an elliptical path. This occurs in our universe. For example, an ellipse is formed when you tilt a glass of water. When the cup is tilted, the water all goes to one side, making the water uneven, forming an ellipse. Conics are really important because they literally help us shape our society. This integrates well with my current major in art and design because of the engineering and use of conic