His interest in mathematics is said to have began from when he observed a solar eclipse on October 18, 320 and then since has focused his work on geometry. ... The purpose of the volumes were to revive geometry and restore it to a level of significance, usually by providing further explanations or supplements to the works of previous geometers. ... Book IV is an extension of Pythagoras" theorem for parallelograms constructed on the legs of any triangle. ... Pappus formulated the volume of a solid of revolution, which was later called The Pappus - Guldin theorem. ... His theorem was that the v...

• Word Count: 647
• Approx Pages: 3
• Grade Level: Undergraduate

His followers are credited with the development of the Pythagorean theorem in geometry and the application of number relationships to music theory, acoustics, and astronomy. ... Today Pythagoras is famous for his geometry theorem. ...

• Word Count: 389
• Approx Pages: 2
• Grade Level: Undergraduate

This art is geometry "the measuring of Earth. ... In thirteen books he collected The Elements of geometry, starting from the most basic concepts, "a point is that which has no part- and "a line is breadthless length-. ... Although I think that we should never renounce reality in our search for philosophical answers, I'm persuaded that it is in a universe similar in nature to the world of geometry that Euclid opens up for us, where Beauty herself exists. ... This theorem is named after its first observer, Pythagoras, but it was Euclid's insight what made it clear enough to becom...

• Word Count: 1043
• Approx Pages: 4
• Grade Level: Undergraduate

Art is a science of creativity and Science is an art of analysis and applications of physical Laws.Hence art and science are two sides of the same coin.The worth of a civilization cannot be truly determined by undermining either art or science because while art reflects the emotional maturity ,scie...

• Word Count: 382
• Approx Pages: 2
• Grade Level: Undergraduate

Basic arithmetic and geometry formed the basis of what the mathematical world had to offer at its very beginnings. ... As mentioned in the Stanford Encyclopedia, "Pythagoras is said to have transformed the philosophy of geometry into a form of liberal education, to have investigated its theorems in an immaterial and intellectual way and specifically to have discovered the study of irrational magnitudes and the construction of the five regular solids," (2). ... He came up with what we now know as the Pythagorean Theorem which in mathematics today is described as a^2+b^2=c^2. ... The ...

• Word Count: 1076
• Approx Pages: 4
• Grade Level: Undergraduate

In the 12th century, the Indian mathematician Bhaskara II developed an early derivative representing infinitesimal change, and he described an early form of "Rolle's theorem". ... James Gregory proved a special case of the second fundamental theorem of calculus in AD 1668.       ... The basic insight that both Newton and Leibniz had was the fundamental theorem of calculus.       ... Modern differential calculus on mean value theorem Archimedes is especially important for his discovery of the relation between the surface and volume of a sphere and its circumscribing cylinder. ...

• Word Count: 6149
• Approx Pages: 25
• Grade Level: Undergraduate

Every school student will recognize his name as the originator of that theorem which offers many cheerful facts about the square on the hypotenuse. ... Revolutionizing music, Pythagoras" findings generated theorems and standards for musical scales, relationships, instruments and creative formation. ... Based on Pythagorean harmonic relationships and Pythagorean geometry, bell-makers began constructing bells with the principal pitch prime tone, and hum tones consisting of a fourth, a fifth, and the octave. ...

• Word Count: 1354
• Approx Pages: 5
• Grade Level: Undergraduate

These proportions have been shown to us through the use of these tools from the paintings in the time of Greek culture, to the fractal geometry of modern technology in the present. ... "Geometry has two great treasures: one is the Theorem of Pythagoras; the other, the division of a line into extreme and mean ratio. ... The intricate geometry and style of Gothic churches, Greek buildings, and Egyptian pyramids are but a brief look at the imaginative use of ancient mathematical knowledge (Aslaken). ...

• Word Count: 3373
• Approx Pages: 13
• Grade Level: Undergraduate