... the negatively charged components of the atom, also known as the electrons. Pythagoras was a famous mathematician that studied astronomy, logistics, and geometry. He came up with the Pythagorean Theorem. Euclid is considered the father of geometry, and reorganized a compilation of geometry proofs and created the most successful math textbook. Not only did the Ancient Greeks contribute in the field of math, they also ... modern western society. The Romans had unique styles of architecture, such as arches, columns, sculptures, and mosaics. The Romans also used different layers underneath ...

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... . The great dome designed by Brunelleschi in Florence is an example of this desire to surpass the accomplishments of the past. This would have never have been built if Ptolemy's Geometry had not been reintroduced into academia by people such as Tuscanelli and Hermes Trismegistus. The development of Perspective, one of the most influential constructs to come from the Renaissance, was ... of most importance to Brunelleschi when he undertook the challenge of building his dome. Perspective would go on to shape many areas of geometry, engineering, and art. Without Perspective, our understandi...

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... , a synonym for greatness and for universal genius. And no wonder, for the man who bore it was proficient in almost every area of intellectual and cultural endeavor - in mathematics and geometry, in physics, engineering, anatomy, geology, botany, and geography; in sculpture, architecture, and not the least in painting. The great genius was born in 1452 in the small village of Anchiano ... apprentice in what was then one of the foremost studios in Italy. Leonardo's artistic education was the one available to all of Verrocchio's young apprentices" grinding and mixing pigments, learning geo...

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... in his life. One of the most important was Pherekydes. The other two were Thales and his pupil, Anaxmander, both who lived in Miletus. These two philosophers influenced him in geometry and cosmology. Pythagoras was accepted into priesthood at Diospolis in Egypt. It is here where he developed his beliefs which he later imposed on the society that he set up ... proved the theorem, and I have attached his proof to this report. The President was James Garfield. This theorem was one of the greatest discoveries that had an everlasting impact on geometry. The achievements of the Pythagoreans c...

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... his painting of the "Marriage of the Virgin" which he signed in 1504, he uses the "rules" of the Quattrocento, well learned while with Perugino. He makes uses of classical geometry of lines and forms as well as his mathematical and pitagorean equations. He worked the perspective best when he aligns his figures on the front plane, standing in front of ... private apartments of the Vatican. Similarly, in his "School of Athens" (1510-11). This painting, like many of the times, was a social history record. They embodied the ideas of classical geometry and mathematics, space, lines, incorpor...

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... making him important. Being a contemporary of Jordanus , he was a sophisticated mathematician who was clearly recognized by his many achievements. Fibonacci was famous for his practical applications not for his abstract theorems. Crowned King of Germany in 1212, the Holy Roman Emperor Frederick the Second was later crowned Holy Roman Emperor by the Pope in St. Peter's Church ( in Rome) in November ... ...

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... also remove his crown and pay homage to this small child. The third King gazes at the infant and the activity with a look of absorption. The folds of his robe angle up toward the central part of the picture plane. Directing the viewer directly backs into the middle of the picture plane and the central character The Christ Child. Using color ... the ordinary man on his way to heaven, having to acknowledge Christ as the savior. The Message is that: Salvation is only possible through Christ. This is shown by the angle of the infant's body pointing toward Mary and heaven. Three kings paying...

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... with architectural details and statues, made of wood and plaster. A central arched opening dominates the back wall, flanked by two smaller doorways. Through these openings, elaborate stage sets of streets angle backstage, a triad through the central opening and single streets through each side. These sets, designed later by Scamozzi, use techniques of tilting the floors and contracting the ... angle between the street walls and the heights of their building facades to make foreshortened streets in perspective (see figure 5) . Vincenzo Scamozzi also designed the Teatro at Sabbioneta also...

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... experimental trend that took two directions. One emphasized the mathematical side of painting, the working out of the laws of perspective and the organization of outdoor space and light by geometry and perspective. As in the works of Paolo Uccello (1397-1475), his figures became a mere stage props to show off his mastery of the laws of perspective. The other aspect ... ...

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... art was even greater than his importance to science. Leonardo was not only a Renaissance painter, but also an architect, engineer, mathematician, and philosopher. Da Vinci studied anatomy, astronomy, botany, geology, geometry, and he designed machines and drew plans for hundreds of inventions. However, he had little interest in literature, history, or religion. As you can tell from his painting this was ... ...

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... and life unique to humans, hold Ethics. Pythagoras is shown along with Diogenes lying on the stairs with a dish. Heraclites, modelled after Michelangelo, leans on the marble, writing. Euclid teaches geometry, Zoroaster holds the heavenly sphere and Ptolemy holds the earthly sphere. Other philosophers include Zeno, Averiros, and Diogenes. The painting is balanced split down the middle between Plato and Aristotle ... ...

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... to use, the design showed da Vinci's versatility and genius. To add to his list of feats, da Vinci was already a knowledgeable man in the subjects of nature, flying machines, geometry, mechanics, municipal construction, canals and architecture (designing everything from churches to fortresses). His studies from this period contain designs for advanced weapons, including a tank and other war vehicles, various combat ... ...

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... of number, which became for them the ultimate principle of all proportion, order, and harmony in the universe. Through these studies they established a scientific foundation for mathematics, for example in geometry the great discovery of the school was the hypotenuse theorem, or Pythagoras' theorem. (see below) PYTHAGORAS' THEOREM:- Pythagoras' Theorem is a formula stating that the square of the hypotenuse of a right ... ...

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... a higher degree of perfecting different styles of art that reflects the beauty of nature. In part II of "Lives of an Artist", Vasari states that artists paid close attention to geometry and the structure. For example, Vasari states that Andrea Verrocchio showed enhancement in design and arrangement of the human form. "There is a manifest improvement both in the inventions and in ... ...

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... many different fields. A few great people that made great accomplishments are Erathosthenes who computed the circumference of the earth to within 200 miles and Euclid who organized the study of geometry into vigorous logical proofs. Ancient Greeks believed in the balance of the mind and body. They also achieved in philosophy, drama, pottery and especially arts where they built the Acropolis ... ...

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... , and the structure of the universe. It was Pythagoras who determined that the earth was round. Archimedes and Pythagoras were said to be the greatest Greek mathematicians of all time. Geometry is used in everyday architecture and physics helps with the foundation for construction. It was a big help during wartime, where we used physics to determine layouts and plans. Mathematics is ... ...

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... to integrate Christian spiritual traditions with the rational ordering of physical life in earthly space. Also during this time artists began an intense study of anatomy and light, and applied geometry to the logical construction, just as they did in Greece and Rome. Some forms that were reborn were nudes, which became a major subject of art. Italian Renaissance artists appeared as ... ...

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... being 14'2"3/4 in height, which illustrates its dynamism on a more imposing scale. Michelangelo exemplifies continuity and transformation with this biblical hero and designed the sculpture to "reflect the angle from, which the viewer will look up to see him" (Soltes, L 21, 21:53). As far as his inspiration of depicting David in a memorable manner he resembles the Classical ... ...

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... how desperate Italy was in need of financial aid in the wake of the devastation brought on by the effects of the second world war. The United States used this angle as their "trump card- to pressure de Gasperi into weeding out leftist opposition in his cabinet. The withholding of United States aid and the cancellation of one billion dollars worth ... ...

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... it was built allowed for some control of dynamics and even vibrato. Later, the Virginal was developed in the form of a small harpsichord. The virginal's keys were set at a right angle to a single set of stings. When a key was pressed on a virginal, a vertical rod, (also called a jack) holding a leather or quill plectrum rose and plucked the string. This produced a louder tone ... ...

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... 's attention to detail. All these factors come from a result of all of his influences. In particular Perugino's The painting Christ St john of the Cross (Fig 7) Dali demonstrates an amplified angle and outstanding finished appearance on Christ body this great finish would have been due to his intensive interest into the Renaissance masters. The crucifixion appears over a bay at Dali's home ... ...

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