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Archimedes: Mathematical Genius of the Ancient World - download pdf or read online

By Mary Gow

ISBN-10: 0766025020

ISBN-13: 9780766025028

Grade 5-8 simply because additional info has survived approximately Archimedess contributions than approximately his lifestyles, such a lot of this e-book properly makes a speciality of his mathematical observations 22 centuries in the past. Descriptions of Syracuse and Alexandria, towns that motivated his social and academic improvement, introduce readers to old Greek society and provides them a fuller figuring out of the significance of Archimedess discoveries. the subsequent chapters describe the importance of his paintings relating to levers, buoyancy, geometry, and pi and of such innovations because the pulley and Archimedess screw. The mythical Eureka! second related to the metal composition of the kings crown and a bankruptcy dedicated to the mans fondness for mathematical puzzles brighten up textual content, which consists normally of brief, declarative sentences. Footnotes are safely referenced, and citations from basic resources contain the writings of Plutarch and Cicero. Differentiation is made among factually recorded money owed and people attributed to legend. Good-quality, black-and-white illustrations upload details to the transparent textual content, that is offered in huge font. 3 actions motivate pupil inquiry. With few different titles to be had for this viewers, this access within the sequence might be in particular helpful for college kids asking for books approximately historical historical past or mathematicians.

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Extra info for Archimedes: Mathematical Genius of the Ancient World

Sample text

Twenty-two centuries ago, Eratosthenes measured the circumference of the earth with amazing accuracy. Eratosthenes and other ancient Greeks knew that the earth was a sphere. For his calculations, Eratosthenes measured shadows cast when the sun was at its highest point in the sky. Eratosthenes also calculated the distance from the earth to the sun, mapped the known world, and developed a calendar that included leap years. Eratosthenes, Conon, and Dositheus were all mathematicians who could understand Archimedes' discoveries.

When he measured the overflowed water, he found that less water had overflowed. The gold displaced less water than the silver of exactly the same weight. Archimedes filled the bowl for a third test. This time he immersed the crown. When he measured the overflowed water, he saw that more water was needed to replace the crown than to replace the gold. Archimedes had found his answer. "Because there was more water in the crown's place than in the place of the mass of gold, he detected ... the mixture of the silver in the crown," explained Vitruvius.

A cubic foot of gold weighs 1,204 pounds. A one pound block of gold is about half the size of a one pound block of silver. c. 53 ~- ,, , Archimedes' existing books do not mention the king's crown. Archimedes did, however, make important discoveries that relate to this story. He is considered the founder of the study of hydrostatics. Hydrostatics is the branch of science that deals with liquids at rest. Archimedes's book On Floating Bodies is the earliest known work about hydrostatics. One of Archimedes's most famous discoveries is presented in On Floating Bodies.

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Archimedes: Mathematical Genius of the Ancient World by Mary Gow

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