Euclidean geometry

I continued on in high school with geometry, a second year of algebra, precalculus, trigonometry, and calculus. Thus far, my math courses in college have also been easy for me. My least favorite teacher was my calculus teacher, and it was not solely because of the tough subject matter. He…

At about twenty centuries ago there was an amazing discovery about right angled triangles: “In a right angled triangle the square of the hypotenuse is equal to the sum of squares of the other two sides.” It is called Pythagoras Theorem and can be written in one short equation: a²+b²=c² where c is the longest side of triangle and a and b are the other two sides. Pythagoras was born in the island of Samos in 570 BC in Greek in the eastern Agean. He was the son of Mnesarchus and his mother's name…

As the arrangement of 38 timber columns in Wisdom Path forms a figure “8” pattern which means infinity makes the secret spot looking extraordinary, we would like to develop this concept into our design by forming the shape of art installation to look like a circle instead of the “8” pattern. It will be too direct if we use the figure “8” pattern in our design as it will be like an imitating artwork of the wisdom path therefore we came up with an idea which is to form a circle shape for the art…

mathematics. Other contributions from the Greeks includes geometry that finds applications in areas such as architecture as well as computer imaging and the calculation of the earths circumference and its…

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…

When thinking about M.C. Escher’s work, one would think of geometrical birds flying across the print with a landscape shown underneath, cubes and spheres overlapping one another, and weird surreal prints of inverted architecture. That is because he is most famous for his mathematical tessellations, which are tiling shapes overlapping one another creating a pattern that could be endless. Instead of just using any old shape, he used animals and other objects that made it more difficult for him to…

and Handy Tables. Theon influenced Hypatia greatly; she continued his program. This program was to preserve mathematical and astronomical Greek heritage in scarce times. She is accredited with the comments she made on Apollonius of Perga Conics, geometry, and Diophantus of Alexandria’s Arithmetic, number system. She pushed her father’s thoughts. In her time she was the lead mathematician and astronomer. She is the only woman who can say this. Hypatia lectured and taught philosophical topics.…

Leonhard Euler Leonhard Euler was one of the most important and influential mathematicians in history, as well as one of the most underappreciated. He made contributions to virtually every area of mathematics. It is sometimes jokingly stated that he was so prolific, that many discoveries were named for the first person after Euler to discover them (Richeson, 2008). The base of the natural logarithm, e, is named after Euler, as well as the Euler-Mascheroni constant, also called Euler’s constant.…

by Islamic mathematician Muhammad Al-Khwarizmi to the difference subjects of algebra, geometry and trigonometry. Ideas discovered by Al-Khwarizmi are discussed as well as other concepts that serve as proof of his understanding of various complex ideas we use nowadays. These concepts include simplifying equations, completing the square and trigonometric tables. Key-Words: - Islam, Mathematics, Algebra, Geometry, Trigonometry 1 Introduction Throughout time, cultures and societies have created…

In ancient Egypt, the Nile would flood its banks each year, flooding the land and destroying the farm areas. When the waters receded and the people had to redefine the boundaries. This work was called geometry and was seen as a re-establishment of the principle of law and order on earth. (Lawlor, 6) The best lessons that I remember from my own math learning were the ones that involved interactivity with hands-on tools and tasks that connected to real life…