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Calculus 4E Ch 5
Calculus 4E Ch 5 -The Scientific Revolution & the need for Calculus
| Question | Answer |
|---|---|
| the mathematics of change | calculus |
| the idea that the sun is at the center of the universe | heliocentricity |
| the idea that the earth is at the center of the universe | geocentricity |
| another name for heliocentricity | "Pythagoreanism" |
| book that got Galileo interested in mathematics | Euclid's Elements |
| the two kinds of motion Galileo focused on | the motion of falling objects and projectiles |
| Published in 1543, Nicolas Copernicus's famous book, whose title refers to the revolving of heavenly bodies | On the Revolutions of the Heavenly Spheres |
| Galileo's "new science" referred to the science of ______________. Use of _________________ and _____________________ made it "new." | motion; mathematics; experiments |
| born in 1564, died in 1642 | Galileo |
| Galileo Galilei had an active role the Scientific Revolution, ending _____________________'s 2,000 year scientific reign. | Arisotle |
| The Scientific Revolution occurred mostly in the _________. | 1600s. |
| died 1727 | Sir Isaac Newton |
| Modern physics (according to Heisenberg) favors ____________. | Plato |
| Copernicus fired the first shot in the Scientific Revolution by proposing a _________-centered universe. | sun |
| the main achievement of the Scientific Revolution | the mathematization of motion, the fulfillment of the Plato-Pythagorean dream |
| The appeal of heliocentricity for Copernicus was that it made the mathematical description of the heavens and therefore the calculations of the ___________ _________________ easier. | church calendar |
| died 1630, thought Copernicus's system needed to be simplified; used ellipses rather than circles to describe planetary orbits | Kepler |
| the study of the overall structure of the cosmos | cosmology |
| Galileo build on the foundation of ____________________'s mathematical statics and hydrostatics, which was similar to Euclid's Elements. | Archimedes |
| Galileo's law of free fall only tells us the avg speed of a falling object, not the falling object's __________________________ speed. | instantaneous |