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What were Galileo's contributions to science and mathematics?

Galileo Galilei (1564–1642) was a great Italian astronomer (a scientist specializing in the study of matter in outer space), mathematician, and physicist (a scientist specializing in the study of matter, energy, and their interactions) best known for his contributions to modern experimental science. His persistence in investigating and testing natural laws laid the foundation for the modern experimental method, which is based on conducting tests and observing results. Prior to this innovation, scientific theory was based purely on assumption and supposition.

In order to conduct accurate tests Galileo developed a number of important inventions, including the hydrostatic balance (an instrument for measuring the density of objects) in 1586 and the thermometer (a device for measuring temperature) in 1593. Galileo also expanded upon the basic...

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1. Mathematics And Astronomy
   1. Who was Pythagoras?
   2. Who was Euclid?
   3. What was Nicholas Copernicus's contribution to knowledge of the universe?
   4. What were Galileo's contributions to science and mathematics?
   5. Why was Johannes Kepler important to modern astronomy?
   6. When did Halley's Comet first appear?
   7. Did Isaac Newton really discover the law of gravitation when an apple fell from a tree and hit him on the head?
   8. Who invented calculus?
   9. What is the Hubble Space Telescope?
2. Biology
   1. What were George Washington Carver's agricultural discoveries?
   2. How did Charles Darwin develop the theory of evolution?
   3. Who are Louis and Mary Leakey and what did they discover?
   4. When was the structure of DNA discovered?
   5. What is cloning?
3. Physics
   1. Why was the development of quantum theory important?
   2. Why is the equation E=mc2 significant?
   3. Why did Albert Einstein want the United States to develop the atomic bomb?
   4. What was Enrico Fermi's contribution to the understanding of nuclear power?
   5. Why was J. Robert Oppenheimer accused of being disloyal to the United States?
   6. What is the doomsday clock?
   7. What is the big bang theory?
4. Technology
   1. When was the compass first used?
   2. When was the calendar invented?
   3. When was the clock introduced?
   4. What did Alfred Nobel invent?
   5. Who invented the thermometer?
   6. Why is Thomas Edison considered one of the greatest inventors in history?
   7. Who invented the steam engine?
   8. How long have trains been in use?
   9. When did rail service in the United States reach from coast to coast?
   10. When was the bicycle invented?
   11. Did Henry Ford invent the automobile?
   12. Who invented the hot-air balloon?
   13. Did the Wright brothers invent the airplane, or were they just the first to fly one?
   14. When did the first jet airplane take off?
   15. Who invented the telegraph?
   16. Who invented the telephone?
   17. When was photography invented?
   18. Who invented the television?
   19. When was the fax machine invented?
   20. Who invented the computer?
   21. When was e-mail invented?
   22. Who wrote the first computer program?
   23. When was the first computer chip developed?
   24. Who invented the first personal computer?
   25. Why was the Internet created?

1. Galileo Galilei