The Divine Ratio also known as the Golden Ratio has later influenced art, the reference of Phi helps understand why something comes across as having... ... middle of paper ... ... the form of mathematic ratios, art from ancient Greece has heavily based off the original concept of beauty in the Golden Ratio. As the renaissance period reinvented the idea of beauty, artists such as Michelangelo and Da Vinci took it a step further when incorporating the Golden Ratio in biblical art, embracing both ancient ideologies with Christianity. As seen in Michelangelo’s work in the Sistine Chapel, Creation of Adam and Pieta, he paired Greek beauty with god-like beauty through biblical referencing. Michelangelo was not the only person in the renaissance period who merged Greek ideals with biblical scripture, Leonardo Da Vinci was too famous for such connections too, in particular with ‘The Virgin of the Rocks.” It is thanks to mathematicians such as Euclid, who collaborated mathematics into beauty, leading artists to create such natural and idealistic art.
The ratio for length to width of rectangles is 1.61803398874989484820. The numeric value is called “phi”. The Golden Ratio is also known as the golden rectangle. The Golden Rectangle has the property that when a square is removed a smaller rectangle of the same shape remains, a smaller square can be removed and so on, resulting in a spiral pattern. The Golden Rectangle is a unique and important shape in mathematics.
This theorem combined the sides of a right triangle, and this led to the development of irrational numbers by Pythagoras later on. Pythagoras discovered that the square root of 2 was an irrational number. Plato, another great mind of Greece, did more than just develop theorems for geometry, he stressed that geometry was essential. Plato believed that everyone should be well educated in mathematics as well as geometry.
on Crete, the large island located about one hundred miles southeast of the Gree... ... middle of paper ... ...on. It is important to understand the history and mechanics of Greek architecture in order to fully appreciate it. The ancient Greeks were very well known for their beautiful temples. They were able to devise several different ways to create beautiful buildings and implement those designs. The ancient Greeks set the architectural foundations for the rest of the world with their three orders.
This paper will introduce the golden ratio and weigh its significance on math, art, and nature. 1.6180339887…. has been given many names varying from the “golden ratio” first coined by the Greeks, to the “golden rectangle” and “golden section”, “phi” named after Phidias a renowned Greek sculptor, as well as the “divine proportion” conceived by Leonardo da Vinci. (Blacker, The Golden Ratio) Simply put, the golden ratio is the length to width of rectangles used in art and nature. This ratio is considered to be the most agreeable arrangement, mathematically and artistically, to the eye.
It is also the most significant reference point of ancient Greek culture as well as the symbol of the city of Athens. Some of the greatest architectural masterpieces of the period were erected on its ground. The Greek believed the human body was the measure of all things, therefore the artists created sculptures in a very detailed fashion which made them very life-like although the size of R... ... middle of paper ... ... made such a great impression that it has carried through to our present day buildings such as the White House. The Athena Parthenos has been recreated by the Romans and then most recently by recreated by Alan LeQuire which is in Nashville. (See Fig 2.)
Prime Numbers Prime numbers and their properties were first studied extensively by the ancient Greek mathematicians. The mathematicians of Pythagoras's school (500 BC to 300 BC) were interested in numbers for their mystical and numerological properties. They understood the idea of primality and were interested in perfect and amicable numbers. A perfect number is one whose proper divisors sum to the number itself. e.g.
Instead, they try to understand the problem situation; they consider alternative representations and relations among variables. Only when satisfied that they understand the situation and all the variables in a qualitative way do they start to apply the quantification.” Bibliography  Mathematics its power and utility Sixth Edition Karl J Smith  Math & Mathematics The history of Math Discoveries around the World  Vol. 1&2 Leonard C. Bruno  Career Discovery Encyclopedia Volume 5 Ferguson Publishing company  Encyclopedia of Careers & Vocational Guidance- Eleventh Edition VOL. 1 & 3 Ferguson Publishing Company  A History of Mathematics –Midair MacCormaic <http://ai.eecsumich.edu/people/charles/research/math_history.html
This number showed the ratio between the diameter and circumference of a circle. Grecian architecture formed its own conventions in the ancient world, buildings in Greece were built with meticulous mathematic design. Great buildings were believed to be symmetrical, and perfectly proportioned [Document 7]. Another prominent aspect of ancient Greek architecture is the extensive use of columns. There were three basic types used, Doric which were plain capitals, ionic in which the capitals were fashioned after ram’s horns, and Corinthian which were made to mirror acanthus leaves.
Additionally, Thales is known to be the first person to use deductive reasoning applied to geometry and also to have a mathematical discovery attached to their name. Thales theorem states that an inscribed angle in a semicircle is a right angle. One interesting