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Eratosthenes
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sieve of Eratosthenes: A prime number sieve, it is an algorithm for finding prime numbers.
KEYS (10k)
NEW FULL DB (2.4M)
4 Carl Sagan
2 Marcus Vitruvius Pollio
2 Ken Jennings
*** WISDOM TROVE ***
1:Eratosthenes's only tools were sticks, eyes, feet, and brains; plus a zest for experiment. With those tools he correctly deduced the circumference of the Earth, to high precision, with an error of only a few percent. That's pretty good figuring for 2200 years ago. ~ carl-sagan, @wisdomtrove 2:Eratosthenes was the director of the great library of Alexandria, the Centre of science and learning in the ancient world. Aristotle had argued that humanity was divided into Greeks and everybody else, whom he called barbarians and that the Greeks should keep themselves racially pure. He thought it was fitting for the Greeks to enslave other peoples. But Erathosthenes criticized Aristotle for his blind chauvinism, he believed there was good and bad in every nation. ~ carl-sagan, @wisdomtrove *** NEWFULLDB 2.4M ***
1:Eratosthenes, the mapmaker who was the first man to accurately measure the size of the Earth, was a librarian. ~ Ken Jennings, #NFDB
2:Eratosthenes, the mapmaker who was the first man to accurately measure the size of the Earth, was a librarian. ~ Ken Jennings, #NFDB
3:Today Eratosthenes' method [of calculating the circumference of the earth] seems almost banal... yet it is inaccessible to prescientific civilizations, and in all of Antiquity not a single Latin author succeeded in stating it coherently. ~ Lucio Russo, #NFDB
4:Some people do indeed say that Eratosthenes could not have inferred the true measure of the earth. Whether true or untrue, it cannot affect the truth of what I have written on the fixing of the quarters from which the different winds blow. ~ Marcus Vitruvius Pollio, #NFDB
5:Eratosthenes's only tools were sticks, eyes, feet, and brains; plus a zest for experiment. With those tools he correctly deduced the circumference of the Earth, to high precision, with an error of only a few percent. That's pretty good figuring for 2200 years ago. ~ Carl Sagan, #NFDB
6:From the shadow length in Alexandria, the angle A can be measured. But from simple geometry (“if two parallel straight lines are transected by a third line, the alternate interior angles are equal”), angle B equals angle A. So by measuring the shadow length in Alexandria, Eratosthenes concluded that Syene was A = B = 7° away on the circumference of the Earth. ~ Carl Sagan, #NFDB
7:Remembering that Eratosthenes of Cyrene, employing mathematical theories and geometrical methods, discovered from the course of the sun, the shadows cast by an equinoctial gnomon, and the inclination of the heaven that the circumference of the earth is two hundred and fifty-two thousand stadia, that is, thirty-one million five hundred thousand paces. ~ Marcus Vitruvius Pollio, #NFDB
8:The Greek geographers of Alexandria, when they prepared their world map using the circumference of Eratosthenes, had in front of them source maps that had been drawn without the Eratosthenian error, that is, apparently without any discernible error at all. We shall see further evidence of this, evidence suggesting that the people who originated the maps possessed a more advanced science than that of the Greeks. ~ Charles H Hapgood, #NFDB
9:Archimedes to Eratosthenes greeting. ... certain things first became clear to me by a mechanical method, although they had to be demonstrated by geometry afterwards because their investigation by the said method did not furnish an actual demonstration. But it is of course easier, when we have previously acquired by the method, some knowledge of the questions, to supply the proof than it is to find it without any previous knowledge. ~ Archimedes, #NFDB
10:Eratosthenes was the director of the great library of Alexandria, the Centre of science and learning in the ancient world. Aristotle had argued that humanity was divided into Greeks and everybody else, whom he called barbarians and that the Greeks should keep themselves racially pure. He thought it was fitting for the Greeks to enslave other peoples. But Erathosthenes criticized Aristotle for his blind chauvinism, he believed there was good and bad in every nation. ~ Carl Sagan, #NFDB
11:For the observed difference in the shadow lengths, the distance between Alexandria and Syene had to be about seven degrees along the surface of the Earth; that is, if you imagine the sticks extending down to the center of the Earth, they would there intersect at an angle of seven degrees. Seven degrees is something like one-fiftieth of three hundred and sixty degrees, the full circumference of the Earth. Eratosthenes knew that the distance between Alexandria and Syene was approximately 800 kilometers, because he hired a man to pace it out. Eight hundred kilometers times 50 is 40,000 kilometers: so that must be the circumference of the Earth. ~ Carl Sagan, #NFDB
--- Overview of noun eratosthenes
The noun eratosthenes has 1 sense (no senses from tagged texts)
1. Eratosthenes ::: (Greek mathematician and astronomer who estimated the circumference of the earth and the distances to the Moon and sun (276-194 BC))
--- Synonyms/Hypernyms (Ordered by Estimated Frequency) of noun eratosthenes
1 sense of eratosthenes
Sense 1
Eratosthenes
INSTANCE OF=> astronomer, uranologist, stargazer
=> physicist
=> scientist
=> person, individual, someone, somebody, mortal, soul
=> organism, being
=> living thing, animate thing
=> whole, unit
=> object, physical object
=> physical entity
=> entity
=> causal agent, cause, causal agency
=> physical entity
=> entity
INSTANCE OF=> mathematician
=> scientist
=> person, individual, someone, somebody, mortal, soul
=> organism, being
=> living thing, animate thing
=> whole, unit
=> object, physical object
=> physical entity
=> entity
=> causal agent, cause, causal agency
=> physical entity
=> entity
--- Hyponyms of noun eratosthenes
--- Synonyms/Hypernyms (Ordered by Estimated Frequency) of noun eratosthenes
1 sense of eratosthenes
Sense 1
Eratosthenes
INSTANCE OF=> astronomer, uranologist, stargazer
INSTANCE OF=> mathematician
--- Coordinate Terms (sisters) of noun eratosthenes
1 sense of eratosthenes
Sense 1
Eratosthenes
-> astronomer, uranologist, stargazer
=> astrophysicist
=> cosmologist
HAS INSTANCE=> Alhazen, Alhacen, al-Haytham, Ibn al-Haytham, Al-Hasan ibn al-Haytham
HAS INSTANCE=> Anaximander
HAS INSTANCE=> Aristarchus of Samos
HAS INSTANCE=> Bessel, Friedrich Wilhelm Bessel
HAS INSTANCE=> Bowditch, Nathaniel Bowditch
HAS INSTANCE=> Brahe, Tycho Brahe
HAS INSTANCE=> Celsius, Anders Celsius
HAS INSTANCE=> Copernicus, Nicolaus Copernicus, Mikolaj Kopernik
HAS INSTANCE=> Eddington, Sir Arthur Stanley Eddington
HAS INSTANCE=> Eratosthenes
HAS INSTANCE=> Galileo, Galileo Galilei
HAS INSTANCE=> Hale, George Ellery Hale
HAS INSTANCE=> Hall, Asaph Hall
HAS INSTANCE=> Halley, Edmond Halley, Edmund Halley
HAS INSTANCE=> Herschel, William Herschel, Sir William Herschel, Sir Frederick William Herschel
HAS INSTANCE=> Herschel, John Herschel, Sir John Herschel, Sir John Frederick William Herschel
HAS INSTANCE=> Hipparchus
HAS INSTANCE=> Huggins, Sir William Huggins
HAS INSTANCE=> Hypatia
HAS INSTANCE=> Kepler, Johannes Kepler, Johan Kepler
HAS INSTANCE=> Kuiper, Gerard Kuiper, Gerard Peter Kuiper
HAS INSTANCE=> Langley, Samuel Pierpoint Langley
HAS INSTANCE=> Laplace, Marquis de Laplace, Pierre Simon de Laplace
HAS INSTANCE=> Lovell, Sir Bernard Lovell, Sir Alfred Charles Bernard Lovell
HAS INSTANCE=> Lowell, Percival Lowell
HAS INSTANCE=> Mitchell, Maria Mitchell
HAS INSTANCE=> Muller, Johann Muller, Regiomontanus
HAS INSTANCE=> Newcomb, Simon Newcomb
HAS INSTANCE=> Omar Khayyam
HAS INSTANCE=> Oort, Jan Hendrix Oort
HAS INSTANCE=> Peirce, Benjamin Peirce
HAS INSTANCE=> Ptolemy, Claudius Ptolemaeus
HAS INSTANCE=> Rittenhouse, David Rittenhouse
HAS INSTANCE=> Russell, Henry Russell, Henry Norris Russell
HAS INSTANCE=> Schiaparelli, Giovanni Virginio Schiaparelli
HAS INSTANCE=> Shapley, Harlow Shapley
HAS INSTANCE=> Sitter, Willem de Sitter
HAS INSTANCE=> Thales, Thales of Miletus
HAS INSTANCE=> Tombaugh, Clyde Tombaugh, Clyde William Tombaugh
-> mathematician
=> algebraist
=> arithmetician
=> geometer, geometrician
=> number theorist
=> probability theorist
=> statistician, mathematical statistician
=> trigonometrician
HAS INSTANCE=> Abel, Niels Abel, Niels Henrik Abel
HAS INSTANCE=> Alhazen, Alhacen, al-Haytham, Ibn al-Haytham, Al-Hasan ibn al-Haytham
HAS INSTANCE=> Archimedes
HAS INSTANCE=> Bayes, Thomas Bayes
HAS INSTANCE=> Bernoulli, Jakob Bernoulli, Jacques Bernoulli, James Bernoulli
HAS INSTANCE=> Bernoulli, Johann Bernoulli, Jean Bernoulli, John Bernoulli
HAS INSTANCE=> Bessel, Friedrich Wilhelm Bessel
HAS INSTANCE=> Boole, George Boole
HAS INSTANCE=> Bowditch, Nathaniel Bowditch
HAS INSTANCE=> Condorcet, Marquis de Condorcet, Marie Jean Antoine Nicolas Caritat
HAS INSTANCE=> Descartes, Rene Descartes
HAS INSTANCE=> Diophantus
HAS INSTANCE=> Eratosthenes
HAS INSTANCE=> Euler, Leonhard Euler
HAS INSTANCE=> Fermat, Pierre de Fermat
HAS INSTANCE=> Fourier, Jean Baptiste Joseph Fourier, Baron Jean Baptiste Joseph Fourier
HAS INSTANCE=> Galois, Evariste Galois
HAS INSTANCE=> Gauss, Karl Gauss, Karl Friedrich Gauss
HAS INSTANCE=> Godel, Kurt Godel
HAS INSTANCE=> Hamilton, William Rowan Hamilton, Sir William Rowan Hamilton
HAS INSTANCE=> Hero, Heron, Hero of Alexandria
HAS INSTANCE=> Hilbert, David Hilbert
HAS INSTANCE=> Hipparchus
HAS INSTANCE=> Jacobi, Karl Gustav Jacob Jacobi
HAS INSTANCE=> Klein, Felix Klein
HAS INSTANCE=> Kronecker, Leopold Kronecker
HAS INSTANCE=> Laplace, Marquis de Laplace, Pierre Simon de Laplace
HAS INSTANCE=> Leibniz, Leibnitz, Gottfried Wilhelm Leibniz, Gottfried Wilhelm Leibnitz
HAS INSTANCE=> Lobachevsky, Nikolai Ivanovich Lobachevsky
HAS INSTANCE=> Mandelbrot, Benoit Mandelbrot
HAS INSTANCE=> Markov, Andrei Markov, Markoff, Andre Markoff
HAS INSTANCE=> Minkowski, Hermann Minkowski
HAS INSTANCE=> Mobius, August F. Mobius, August Ferdinand Mobius
HAS INSTANCE=> Muller, Johann Muller, Regiomontanus
HAS INSTANCE=> Napier, John Napier
HAS INSTANCE=> Newton, Isaac Newton, Sir Isaac Newton
HAS INSTANCE=> Noether, Emmy Noether
HAS INSTANCE=> Omar Khayyam
HAS INSTANCE=> Pascal, Blaise Pascal
HAS INSTANCE=> Peirce, Benjamin Peirce
HAS INSTANCE=> Pythagoras
HAS INSTANCE=> Riemann, Bernhard Riemann, Georg Friedrich Bernhard Riemann
HAS INSTANCE=> Turing, Alan Turing, Alan Mathison Turing
HAS INSTANCE=> Veblen, Oswald Veblen
HAS INSTANCE=> Vernier, Paul Vernier
HAS INSTANCE=> von Neumann, Neumann, John von Neumann
HAS INSTANCE=> Weil, Andre Weil
HAS INSTANCE=> Whitehead, Alfred North Whitehead
HAS INSTANCE=> Wiener, Norbert Wiener
--- Grep of noun eratosthenes
eratosthenes
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