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ø PHI: The Golden Ratio or Golden Section (In Nature, Art, Science and Religion) The Golden Section is a unique Ratio (or relationship between parts) that seems to be preferred by Nature as the best geometry for growth, energy conservation, elegance and has some fundamental relationships to the platonic solids and the Mandelbrot set. It was formally discovered by the Greeks and incorporated into their art and architecture, but it has been shown to occur even in prehistoric art, possibly as a function of Man's natural affinity for it's beauty. The rectangle at left has a vertical edge length of 1 the horizontal or width of the rectangle is 1.618 If we make a line inside and form a square (far left) it creates another 'golden rectangle' (at right) Patterns of Visual Math - Phi 1.618
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Search Results Multimedia Format: Interactive Galileo's Experiments It’s a legendary experiment: Young Galileo, perched atop the Leaning Tower of Pisa, drops cannonballs of different weights to see if all objects fall at the same rate.
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Enjoy free online math videos on these fraction topics: (Fraction videos, part 2, are on this page.) The videos are recorded in high-density (HD) and are viewable both here as well as at my Youtube channel. These videos are usable for students, teachers, and parents. You can use them... To learn these topics yourself (if you're a student for example, or an adult needing a refresher)As lesson plans for teaching these topics. Free fraction videos online
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The history of mathematics is nearly as old as humanity itself. Since antiquity, mathematics has been fundamental to advances in science, engineering, and philosophy. It has evolved from simple counting, measurement and calculation, and the systematic study of the shapes and motions of physical objects, through the application of abstraction, imagination and logic, to the broad, complex and often abstract discipline we know today. From the notched bones of early man to the mathematical advances brought about by settled agriculture in Mesopotamia and Egypt and the revolutionary developments of ancient Greece and its Hellenistic empire, the story of mathematics is a long and impressive one. The East carried on the baton, particularly China , India and the medieval Islamic empire , before the focus of mathematical innovation moved back to Europe in the late Middle Ages and Renaissance .
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Patterns of Visual Math - Phi 1.618
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