Aristarchus On the Sizes and Distances

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	Aristarchus of Samos (ca. 310-ca. 230 BC) : Library of Congress Citations
		Title: Aristarchus of Samos, the ancient Copernicus; a history of Greek astronomy to Aristarchus, together with Aristarchus's Treatise on the sizes and distances of the sun and moon, a new Greek text with translation and notes by Sir Thomas Heath.
		Brit., 77 -- (only extant work of Aristarchus of Samos: On the sizes and distances of the sun and moon) Oxford Classical dict., 70 -- (Aristarchus of Samos: On the sizes and distances of the sun and moon) Heading: Aristarchus, of Samos.
		On the sizes and distances of the sun and moon Notes: Heath, T.L. Aristarchus of Samos, the ancient Copernicus, 1981 (a.e.) -- p.
	www.mala.bc.ca /~mcneil/cit/citlcaristarc1.htm (394 words)

	Aristarchus and the Heliocentric Theory
		Aristarchus wrote a discourse, "On the sizes and distances of the Sun and the Moon." Through a series of observations he discovered the ratios of the Sun's and Moon's distances from the Earth, and the ratio of their sizes compared to the size of the Earth.
		Aristarchus of Samos, the "Copernicus of antiquity" (310-230 BC.) is credited by the Greek mathematician and inventor Archimedes to the hypothesis that the Sun, and not the Earth is the center of planetary motion.
		These people rejected Aristarchus' hypothesis because they believed that the appearance of the fixed stars would change in different parts of the Earth's orbit, but Aristarchus thought that the distance of the fixed stars was so great this effect was unnoticeable.
	share2.esd105.wednet.edu /jmcald/Aristarchus/history.html (392 words)

	Aristarchus of Samos - Wikipedia, the free encyclopedia
		Aristarchus of Samos - The Ancient Copernicus, A history of Greek astronomy to Aristarchus together with Aristarchus' treatise on the sizes and distances of the sun and moon, a new Greek text with translation and notes.
		The only work of Aristarchus which has survived to the present time, On the Sizes and Distances of the Sun and Moon, is based on a geocentric worldview.
		Aristarchus thus believed the stars to be infinitely far away, and saw this as the reason why there was no visible parallax, that is, an observed movement of the stars relative to each other as the Earth moved around the Sun.
	en.wikipedia.org /wiki/Aristarchus_of_Samos (704 words)

	Aristarchus and the Heliocentric Theory
		Aristarchus wrote a discourse, "On the sizes and distances of the Sun and the Moon." Through a series of observations he discovered the ratios of the Sun's and Moon's distances from the Earth, and the ratio of their sizes compared to the size of the Earth.
		Aristarchus of Samos, the "Copernicus of antiquity" (310-230 BC.) is credited by the Greek mathematician and inventor Archimedes to the hypothesis that the Sun, and not the Earth is the center of planetary motion.
		These people rejected Aristarchus' hypothesis because they believed that the appearance of the fixed stars would change in different parts of the Earth's orbit, but Aristarchus thought that the distance of the fixed stars was so great this effect was unnoticeable.
	share2.esd105.wednet.edu /jmcald/Aristarchus/history.html (392 words)

	Aristarchus
		Aristarchus introduced six hypotheses, from which he determined first the relative distances of the sun and the moon, then their relative sizes:
		His treatise On the Sizes and Distances of the Sun and Moon, written from a geocentric point of view, was a breakthrough in finding distances to objects in the universe, and his methods were used by later astronomers and mathematicians through the time of Hipparchus and Ptolemy.
		In order to determine the actual values for the sizes of the sun and moon, Aristarchus used two observations: first, that the disk of the moon just covers the sun during a solar eclipse--although this is not always true, for the sun appears larger during an annular eclipse.
	www.angelfire.com /ca5/ancientgreecescience/aristarchus (929 words)

	Aristarchus of Samos
		Aristarchus' only surviving work is Magnitudes and Distances of the Sun and Moon.
		He was also the first astronomer to estimate (quite inaccurately) the sizes of the Sun and Moon and their distances from the Earth.
		Aristarchus' model of the universe described the Sun and the fixed stars as stationary in the cosmos, and the planets - including the Earth- as travelling in circular orbits around the Sun.
	www.cartage.org.lb /en/themes/Biographies/MainBiographies/A/Aristarchus/1.html (189 words)

	Aristarchus of Samos
		Combining Aristarchus' work together with that of Eratosthenes, and using observations Aristarchus made about the apparent diameter of the moon, it is possible to calculate the sizes of the Earth, moon and sun, and also the distances between the Earth, moon, and sun.
		Aristarchus of Samos (Approximately 300 BC) discovered a method to figure out the ratio of the distances from the Earth to the sun, and Earth to moon.
		We will describe the arguments Aristarchus used to convince people about his theory and what he did wrong, what he did right, and how he intentionally lied, even though he knew the correct answer, to the people just to satisfy them.
	share2.esd105.wednet.edu /jmcald/Aristarchus/main.html (390 words)

	Aristarchus of Samos
		Combining Aristarchus' work together with that of Eratosthenes, and using observations Aristarchus made about the apparent diameter of the moon, it is possible to calculate the sizes of the Earth, moon and sun, and also the distances between the Earth, moon, and sun.
		Aristarchus of Samos (Approximately 300 BC) discovered a method to figure out the ratio of the distances from the Earth to the sun, and Earth to moon.
		We will describe the arguments Aristarchus used to convince people about his theory and what he did wrong, what he did right, and how he intentionally lied, even though he knew the correct answer, to the people just to satisfy them.
	share2.esd105.wednet.edu /jmcald/Aristarchus/main.html (390 words)

	Aristarchus - Wikipedia, the free encyclopedia
		The only work of Aristarchus which has survived to the present time, On the Sizes and Distances of the Sun and Moon, is based on a geocentric worldview.
		Aristarchus (310 BC- circa 230 BC) was a Greek astronomer and mathematician, born in Samos, Greece.
		Aristarchus thus believed the stars to be infinitely far away, and saw this as the reason why there was no visible parallax, that is, an observed movement of the stars relative to each other as the Earth moved around the Sun.
	en.wikipedia.org /wiki/Aristarchus (704 words)

	Malaspina Great Books - Aristarchus of Samos (310 BCE)
		One treatise, On the Sizes and Distances of the Sun and Moon survives.
		Aristarchus was born on the island of Samos and died in Alexandria.
		Based upon his measurement and calculation of the size of the sun&; Aristarchus advanced a heliocentric hypothesis 17 centuries before Copernicus.
	www.malaspina.org /home.asp?topic=./search/details&lastpage=./search/results&ID=4 (255 words)

	Aristarchus
		Aristarchus' place in the pantheon of eminent astronomers is well-earned, his having been the first to calculate the relative distances of the sun and moon from the earth as well as the relative sizes of these three bodies.
		Some of my sources, though acknowledging that some opposition to Aristarchus' views stemmed from philosophical or religious predjudice, take care to point out that not all opposition was of this nature and that there were reasonable scientific grounds -- at least in terms of the known science of the time -- for rejecting Aristarchus' hypothesis.
		Instead I decided to write an essay on a figure in astronomy you mentioned last time, Aristarchus of Samos (not to be confused with the somewhat later scholar Aristarchus of Samothrace, who was librarian at Alexandria).
	members.aol.com /Fuzzbelief/Aristarchus.html (769 words)

	Ancient Greek Astronomy
		Aristarchus of Samos, which contains the full text and drawings of his On the Sizes and Distances of the Sun and the Moon, and also deals with his predecessors.
		Fragments suggest that Aristarchus could do so as well and that he may have thought that the angle was more than 89° 30', but the uncertainties of the precise dichotomy of the Moon and in measurement led him to play safe (remember Anaxagoras!).
		Those of you interested in the relationship between mythology and our understanding of the cosmos will find Anthony Aveni's Conversing With the Planets to be of interest.
	www.astunit.com /tutorials/greek.htm (955 words)

	Aristarchus Of Samos -- Encyclopædia Britannica
		Aristarchus' advanced ideas on the movement of the Earth are known from Archimedes and Plutarch; his only extant work is a short treatise, “On the Sizes and Distances of the Sun and Moon.&; The values…
		Little or no contribution to cosmology was made in the Roman world, and the demonstration of Aristarchus of Samos (c.
		Like their predecessors, Greek astronomers adopted the natural picture, from the point of view of an observer on Earth, that the Earth lay motionless at the centre of a rigidly rotating celestial sphere (to which the stars were...
	www.britannica.com /eb/article-9009438 (694 words)

	Review Aristarchus of Samos, the ancient Copernicus;: A history of Greek astronomy to Aristarchus, together with Aristarchus's Treatise on the sizes and distances of the sun and moon, - Computer Toaster
		Aristarchus of Samos, the ancient Copernicus;: A history of Greek astronomy to Aristarchus, together with Aristarchus's Treatise on the sizes and distances of the sun and moon,
		Book / Aristarchus of Samos, the ancient Copernicus;: A history of Greek astronomy to Aristarchus, together with Aristarchus's Treatise on the sizes and distances of the sun and moon,
	computertoaster.com /reviews/asinsearch_B0007IVND8 (141 words)

	Aristarchus, Sizes and Distances 5, scholion 16
		Scholion 16 to Aristarchus, On the Sizes and Distances of the Sun and the Moon, prop.
		Scholion 16 to Aristarchus, On the Sizes and Distances of the Sun and the Moon, prop.4, ed.
	www.calstatela.edu /faculty/hmendel/Ancient%20Mathematics/Aristarchus/SizesAndDistances/Scholion.deF.16/Aristarch.Schol.deF.16.html (467 words)

	Online Encyclopedia and Dictionary - Aristarchus
		The only work of Aristarchus which has survived to the present time, On the Sizes and Distances of the Sun and Moon, is based on a geocentric worldview.
		Aristarchus (310 BC - circa 230 BC) was a Greek astronomer and mathematician, born in Samos, Greece.
		Aristarchus thus believed the stars to be infinitely far away, and saw this as the reason why there was no visible parallax, that is, an observed movement of the stars relative to each other as the Earth moved around the Sun.
	fact-archive.com /encyclopedia/Aristarchus (604 words)

	Aristarchus of Samos
		Aristarchus' only surviving text is his Treatise on the Sizes and Distances of the Sun and Moon.
		Aristarchus was born around 320 before Jesus Christ on the Greek Island of Samos.
		Aristarchus is known to have the first proponent of the heliocentric hypothesis, with the Earth ascribed a movement of orbital rotation about the Sun, as well as a daily axial rotation.
	goofy313g.free.fr /calisota_online/exist/aristarchus.html (243 words)

	Alexandrian Scholarship
		Aristarchus applied Alexandrian trigonometry to estimate the distances and sizes of the sun and moon, and also postulated a heliocentric universe (biography).
		The last recorded librarian was Aristarchus of Samothrace, the astronomer, who took up the position in 180 B.C.E. and was driven out during dynastic struggles between two Ptolemies.
		In 195 Aristophanes, a Homeric scholar of no relation to the comic playwright, took up the position, and updated Callimachus' Pinakes.
	www.perseus.tufts.edu /GreekScience/Students/Ellen/Museum.html (2813 words)

	Aristarchus
		Aristarchus' place in the pantheon of eminent astronomers is well-earned, his having been the first to calculate the relative distances of the sun and moon from the earth as well as the relative sizes of these three bodies.
		Some of my sources, though acknowledging that some opposition to Aristarchus' views stemmed from philosophical or religious predjudice, take care to point out that not all opposition was of this nature and that there were reasonable scientific grounds -- at least in terms of the known science of the time -- for rejecting Aristarchus' hypothesis.
		Instead I decided to write an essay on a figure in astronomy you mentioned last time, Aristarchus of Samos (not to be confused with the somewhat later scholar Aristarchus of Samothrace, who was librarian at Alexandria).
	members.aol.com /Fuzzbelief/Aristarchus.html (769 words)

	Greek Astronomy
		Aristarchus introduced six hypotheses, from which he determined first the relative distances of the sun and the moon, then their relative sizes:
		Aristarchus of Samos (around 310-230 BC) a mathematician and astronomer was a student of Strato of Lampsacus, head of Aristotle's Lyceum.
		Aristarchus believed that the motions of the heavenly bodies could easily be understood if it were assumed that all of the planets, including Earth, revolved around the sun and that the stars must be infinitely far away because they seemed motionless.
	www.mlahanas.de /Greeks/Astronomy.htm (2340 words)

	Heath Aristarchus of Samos, the Ancient Copernicus Book #17620
		A History of Greek Astromony to Aristarchus together with Aristarchus; Treatise on the Sizes and Distances of the Sun and Moon.
		Aristarchus (c.310-230 BC) is credited, on the authority of Archimedes, with the heliocentric hypothesis: he was in fact the originator of the Copernican hypothesis.
		To substantiate this claim, Heath traces every step in the progress towards Aristarchus'hypothesis, presenting a complete history of Greek astronomy up to Aristarchus before going on to the critical edition of his treatise.
	www.powellschicago.com /html/reprints/17620.html (145 words)

	Aristarchus of Samos - Hutchinson encyclopedia article about Aristarchus of Samos
		He was also the first astronomer to estimate (quite inaccurately) the sizes of the Sun and Moon and their distances from the Earth.
		Aristarchus' model of the universe described the Sun and the fixed stars as stationary in the cosmos, and the planets – including the Earth – as travelling in circular orbits around the Sun.
		Aristarchus was born on Samos and may have studied in Alexandria, where he died.
	encyclopedia.farlex.com /Aristarchus+of+Samos (187 words)

	nature-1.html
		Aristarchus had also produced a treatise On the sizes and distances of the Sun and Moon, which has survived intact.
		Sand-Reckoner, written by Aristarchus's younger contemporary Archimedes before 216 BC(2), attributed to Aristarchus a book containing the hypotheses "that the fixed stars and the sun remain unmoved, [and] that the earth revolves about the sun in the circumference of a circle, the sun lying in the middle of the orbit...".
		For example, his original manuscript had referred to the opinion of Aristarchus on the movement of the Earth, but this reference was subsequently "suppressed" or "scored out"(4).
	www.angelfire.com /ca/instituteofscience/nature-1.html (476 words)

	Stanford SOLAR Center -- Ask A Solar Physicist FAQs - Answer
		Aristarchus and Anaxagoras had no way of actually measuring the sizes of or distances to stars (except the Sun), so they had no proof for their ideas.
		Aristarchus then suggested that the small Earth orbits around the big Sun rather than the other way around, and he also suspected that stars were nothing but distant suns, but his ideas were rejected and later forgotten, and he, too, was threatened for suggesting such things.
		Aristarchus of Samos (Samos is a Greek island in the Aegean Sea) lived from about 310 to 230 BC, about 2250 years ago.
	solar-center.stanford.edu /FAQ/Qsunasstar.html (1606 words)

	Aristarchus
		Aristarchus was a mathematician and astronomer who is celebrated as the exponent of a Sun-centred universe and for his pioneering attempt to determine the sizes and distances of the Sun and Moon.
	www-groups.dcs.st-and.ac.uk /~history/Mathematicians/Aristarchus.html (40 words)

	Malaspina Great Books - Aristarchus of Samos (310 BCE)
		One treatise, On the Sizes and Distances of the Sun and Moon survives.
		Aristarchus was born on the island of Samos and died in Alexandria.
		Based upon his measurement and calculation of the size of the sun&; Aristarchus advanced a heliocentric hypothesis 17 centuries before Copernicus.
	www.malaspina.org /home.asp?topic=./search/details&lastpage=./search/results&ID=4 (468 words)

	Online Book
		Without any measures of the sizes of or distances to any celestial objects, he was able to measure both for the Moon.
		Pythagoras of Samos was a Greek philosopher responsible for important developments in mathematics, astronomy and the theory of music.
		The jump Aristarchus made from terrestrial measurements of scale to the celestial is truly remarkable.
	www.physics.sfasu.edu /astro/astronomylinks/all1.html (3838 words)

	Astronomy Resources: Links, Telescopes, Movies, Deep Space, Instructional Materials
		Aristarchus of Samos Aristarchus was a mathematician and astronomer who is celebrated as the exponent of a Sun-centred universe and for his pioneering attempt to determine the sizes and distances of the Sun and Moon.
		Galileo discovered, from one second to the next as a ball rolls down an inclined plane, the ratios of the distances covered increase by odd numbers, by intervals of 1, 3, 5, 7, 9, etc. regardless of the angle of the plane.
		A Quicktime discussion and visualization of the polar regions of Mars.
	jrscience.wcp.muohio.edu /html/Astronomy.html (3838 words)

	Popular Fallacies in the History of Science - Numericana
		This heliocentric idea does not appear explicitly in the only surviving work of Aristarchus, where the distances and sizes of the Moon and the Sun are estimated.
		However, the actual heliocentric system of Aristarchus is known to us from the summary given in The Sand Reckoner (c.213 BC) by an illustrious younger contemporary of Aristarchus: Archimedes of Syracuse (287 BC-212 BC).
		Plutarch (c.45-125) reports that Seleucus of Seleucia (on Mesopotamia's Tigris) championed the heliocentric system shortly thereafter and taught it as an established fact, in the second century BC.
	home.att.net /~numericana/answer/record.htm (3838 words)

	War of the Minds - Archive - VIII
		In his treatise, Aristarchus reported a method to determine the sizes relative to the earth of the sun and the moon and also their relative distances from the earth.
		Aristarchus started from an observation of a lunar eclipse, during which the Moon moves through the Earth's shadow, and what Aristarchus saw convinced him that the shadow was about twice as wide as the Moon.
		As this moon orbits Jupiter, there is a period of time when Jupiter lies between it and the earth, and blocks it from view.
	www.kyphilom.com /www/warmind8.html (3838 words)

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