Essay The Golden Ratio

Mathematics has been a part of society ever since its began. Numerous great minds have contributed to the field but one of the most influential mathematicians was Leonardo da Vinci. Genius, renowned and ahead of his time, Leonardo Da Vinci has been called all of these from the time he began changing the world and still is to this day. I chose Leonardo da Vinci to as my scientist because of how progressive da Vinci was within his designs. The power of mathematics and da Vinci’s mind brought humanity amazing new things and ideas. Though Da Vinci is most known for his superior artistic talents, he was also an inventor that incorporated mathematics into designs that were hundreds of years ahead of their time. The invention of a battle tank, robots and diving suits are all accredited to Leonardo da Vinci.

Greece is known today as the origin of Mathematics, philosophy, art and many other disciplines. For our purposes, we may recognize that Greek art transformed throughout the different eras and was particularly influential on other cultures during the Classical and Hellenistic periods. We may wonder how the Greeks came to be such a thriving, unique and forward-thinking society; this question can be answered if we look into the common philosophical and cultural attitudes such as idealism, naturalism and rationalism. These attitudes influenced the approach of Greek artists during various times, and occasionally, we may find more than one of these attitudes in a single piece of art.

Leonardo Pisano commonly referred to as Fibonacci revolutionized education and economics by reviving ancient mathematics and creating his own theories (Stetson, University). Through some of his well known books are mathematical advancements and broken barriers in the world of mathematics. His desire to learn more and ability to travel led him to create important mathematical advancements that changed history forever (Henderson, H).

Well you want to know about Leonardo da vinci. Let’s talk about him. Leonardo da vinci was born April 15, 1452. He then died on May 2, 1519 at the age of 67. Leonardo da vinci was known for his art and science smartness. It was honestly insane how smart he was by the time he was 18. When he was 18 he was doing all kind of sorts of stuff that was almost impossible. When Leonardo da vinci was 5 years old he was taken from his mom. He had very very little education but when he was 14 he was interested in anatomy which is the study of the human body. He was studying bones and all that is in the body and how it functions. When he saw what the human body looked like he then drew very detailed drawing in his notebooks. When he would them though he would draw them backwards. With all of the objects that he had seen with exploring a lot he found objects to make different machines or vehicles. When he would draw in the notebooks he would draw so many things that it kind got overwhelming. When he would draw some of the drawing he got so many ideas he couldn’t remember some of them because there were so many. When he would draw in his notebook he would just draw those things he would also do his sculptings and his weapons of war. He was also the one who painted one of the most famous paintings. The mona lisa. Around 1495, Ludovico Sforza, then the Duke of Milan, commissioned to leonardo da Vinci to paint ‘the last supper’ on the back wall of the dining hall inside the building of

His famous notebook housed 13,000 pages of notes and observations of the world, many of which was never deciphered until years after his death. Some historians believe that if he had published his ideas, it would have massively changed the development of many ideas that are used today. He made new discoveries in almost every scientific field. For example he was the first to make diagrams of many parts of the human body, including the circulatory system. Also, his notes outline some of the basic ideas of the heliocentric model, gravity, botany, and even evolution, which was not truly discovered until 400 years after his death. Yet, da Vinci's approach to knowledge was more valuable than any of his achievements because it set the stage for modern thinking as well as influencing other scientists during his

Leonardo da Vinci is most famous for his painting of the Mona Lisa and the Last Supper. He began to move away from the medieval period and instead focused his works on natural beauty while challenging the teachings of the Church through these new techniques. He was born in 1452 in Anchiano Italy and died

Da Vinci had an abundance of diverse interests that preoccupied his mind, thereby disallowing him from completing some of the significant works. For example, Da Vinci consumed nearly all of his time in nature trying to test the scientific laws. Because Da Vinci lacked formal education in mathematics, he expended considerable number of hours in making observations that would attempt to relate the science and the art disciplines (Cooper 17). In addition, he would use almost all hours in making sketches for the illustrations he drew such as those of solids in their skeletal forms. Da Vinci experimentation of the scientific laws deviated from that of the Newton because the experimentation was mainly hypothesizing and theorizing the advanced

He traveled to Rome in 1504, to complete his studies of art. During his time in Rome he befriended Pope Leo X who helped his career flourish.

Leonardo Da Vinci showed signs of high intelligence in maths where he used the principles of geometry in his sketches for buildings, drawing and painting. He studied art in Florence with Andrea del Verrocchio, where he also showed interest in botany, architecture, painting ,sculptor, geology, research on hydraulic and aeronautic.

Polykleitos had a very profound mathematical background, which laid the foundation for his artistic thinking. He resided by the idea that beauty coincides with harmonious numerical ratios (eventually developing canon). By his reasoning, a perfect statue would be one constructed according to an all-encompassing mathematical formula. A definitively “successful” statue resulted from these precise applications of abstract principles.

(Renaissance ? Science in the Renaissance) which led to the monumental change in art from the Middle Ages to the Renaissance. These mathematical studies are responsible for the famous artwork of Michelangelo and Leonardo, without which the Renaissance would be much less admired by today?s society. The use of depth and perspective, paramount techniques in the art of the Renaissance and of later years, were brought about by the educational studies by artists ? studies that had not been done by artists of previous times (Renaissance ? Science in the Renaissance).

The renaissance was a time of “rebirth” and changing thoughts. The time of the renaissance was between the 14th century and went to the 17th century.Prior to the renaissance, people of the dark age devoted their life towards god, the changing thoughts of the renaissance lead people to devote their life to learning. The people’s top priority was no longer pleasing God and doing good for God, instead they began to change their priorities. God was still a big part of people’s lives but there was also a yearn for education. Mathematics was a big part of the renaissance, because it helped to make advancement in all areas of learning. The changing values to the Renaissance lead to advancements in mathematics which lead to new art techniques,

Bernoulli was soon exposed to Euler’s brilliance in analytical science and presently saw his true potential, and gained a new respect for him. Euler procured his degree of Master of Arts in philosophy in 1723 by comparing and contrasting the ideas of Descartes and Newton. He then attempted to gain degrees in Theology and Oriental languages on his father’s request, but did not complete the course due to disinterest in the subject, and soon, with his father’s permission, returned to the study of mathematics.

The golden rectangle was also seen as beauty they used in architecture like the Parthenon contains many of the rectangles and paintings like the Mona Lisa and also sculptures. Next they go on to talk about how pentagons are in nature for example flowers like the petunia and the wax flower, and in animals like the starfish. Lastly they talk about how mathematics is used in games such as chess, baseball, football, basketball and even hopscotch. Lastly they talk about how mathematics is used in the game billiards, it says that in the game you have to know all the angles and hit them just right you have to have technique you have to have precise calculations you have to know where each diamond and they call that the “diamond system” which is when players use the difference of the number that the diamonds are placed in order to hit the shot. The last game they played was a mind game donald had to think of a perfect circle then put a triangle inside then turn it and they found many instruments or shapes like a sphere they made lots of inventions made from a perfect

Mathematics has contributed to the alteration of technology over many years. The most noticeable mathematical technology is the evolution of the abacus to the many variations of the calculator. Some people argue that the changes in technology have been for the better while others argue they have been for the worse. While this paper does not address specifically technology, this paper rather addresses influential persons in philosophy to the field of mathematics. In order to understand the impact of mathematics, this paper will delve into the three philosophers of the past who have contributed to this academic. In this paper, I will cover the views of three philosophers of mathematics encompassing their