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	Heron of Alexandria, Miscellaneous, Free Essays @ ChuckIII College Resources
		Heron of Alexandria Another worker in applied mathematics belonging to the period under consideration was Heron of Alexandria.
		Once again, Heron of Alexandria is best known in the history of mathematics for the formula, bearing his name, for the area of a triangle: K = √s(s — a)(s — b)(s — b) Where a, b, c are the sides and s is half the sum of these sides, that is, the semiperimeter.
		Heron is remembered in the history of science as the inventor of a primitive type of steam engine, described in his Pneumatics, of a forerunner of the thermometer, and of various toys and mechanical contrivances based on the properties of fluids and on the laws of the simple machines.
	www.chuckiii.com /Reports/Miscellaneous/Heron_of_Alexandria.shtml (1480 words)

	Hero of Alexandria - Wikipedia, the free encyclopedia (Site not responding. Last check: 2007-10-18)
		His most famous invention was the first documented steam engine, the aeolipile.
		In geometry, he stated and proved a formula, now known as Heron's formula, for calculating the area of a triangle in terms of its sides.
		Heron, and a translation of Pneumatica in German
	en.wikipedia.org /wiki/Hero_of_Alexandria (433 words)

	Heron von Alexandria - Wikipedia
		Heron von Alexandria (Mechanicus) war ein antiker Mathematiker und Ingenieur.
		März 62 - es ist sehr wahrscheinlich, dass Heron sie selbst erlebt hat.
		Heron von Alexandria gilt als der Erfinder des Maschinengewehrs.
	de.wikipedia.org /wiki/Heron_von_Alexandria (310 words)

	Information on Heron
		The herons have a long, sharp bill, and long legs and toes, with the claw of the middle toe toothed.
		The common European heron ({Ardea cinerea) is remarkable for its directly ascending flight, and was formerly hunted with the larger falcons.
		Heron n 1: Greek mathematician and inventor who devised a way to determine the area of a triangle and who described various mechanical devices (first century) [syn: Hero, Hero of Alexandria] 2: gray or white wading bird with long neck and long legs and (usually) long bill
	www.wkonline.com /d/Heron.html (323 words)

	Heron's formula (Site not responding. Last check: 2007-10-18)
		In geometry, Heron's formula states that the area of a triangle whose sides have lengths a, b, c is $\sqrt{s\left(s-a\right)\left(s-b\right)\left(s-c\right)}$ where $s=\frac{a+b+c}{2}$ This formula is credited to Heron of Alexandria, although it is possible that it may have been known long before Heron's time.
		In geometry, Heron's formula states that the area of a triangle whose sides have lengths a, b, c is
		This formula is credited to Heron of Alexandria, although it is possible that it may have been known long before Heron's time.
	www.termsdefined.net /he/heron%27s-formula.html (180 words)

	History of Computing Heron of Alexandria (Site not responding. Last check: 2007-10-18)
		Heron, or Hiero, was a scientist and inventor in Alexandria.
		Heron wrote many books on mathematics, physics, geometry, and mechanics.
		The 'Pneumatica' describes mechanical devices operated by compressed air, water or steam, such as a fire engine, a water organ, and the aeolipile, which is the first steam-powered engine.
	www.thocp.net /slideshow/heron.html (106 words)

	Heron of Alexandria Biography / Biography of Heron of Alexandria Biography Biography
		Heron, about whose personal life virtually nothing is known, resided in Alexandria, Egypt, among the scientists and men of letters of the late Ptolemaic and Roman eras who dwelled around the famed library and museum.
		One of Heron's outstanding treatises was the Metrica, a geometrical study, in three volumes, on the measurement of simple plane and solid figures from polygons to hendecagons.
		In the Mechanica, preserved only in Arabic, Heron explored the parallelograms of velocities, determined certain simple centers of gravity, analyzed the intricate mechanical powers by which small forces are used to move large weights, discussed the problems of the two mean proportions, and estimated the forces of motion on an inclined plane.
	www.bookrags.com /biography/heron-of-alexandria (547 words)

	Heron
		From Heron's writings it is reasonable to deduce that he taught at the Museum in Alexandria.
		The mechanicians of Heron's school say that mechanics can be divided into a theoretical and a manual part; the theoretical part is composed of geometry, arithmetic, astronomy and physics, the manual of work in metals, architecture, carpentering and painting and anything involving skill with the hands.
		In Book II of Metrica, Heron considers the measurement of volumes of various three dimensional figures such as spheres, cylinders, cones, prisms, pyramids etc. His preface is interesting, partly because knowledge of the work of Archimedes does not seem to be as widely known as one might expect (see for example [5]):-
	www-groups.dcs.st-and.ac.uk /~history/Mathematicians/Heron.html (2034 words)

	Heron's Mathematics
		Heron of Alexandria contributed to mathematics but he had not the mathematical “quality” of Euclid.
		Toward the beginning of the second century A.D. Heron of Alexandria found it convenient to introduce definitions of the elementary objects (a sign of decadence!) in his commentary on Euclid’s Elements, which had been written at least 400 years before.
		Heron provided a solution in Metrica for the geometric problem to divide a triangle in two pieces of the same area given a point D on a side of the triangle.
	www.mlahanas.de /Greeks/HeronsMath.htm (1030 words)

	Final Project
		What is sure, though, is that Heron of Alexandria was a brilliant man who gave the modern world much insight into the mathematical and physical sciences.
		Heron wrote so many works on mathematical and physical subjects that "it is customary to described him as an encyclopedic writer in these fields" (Eves, p.
		In this work Heron also gave a method of finding the approximation of the square root of a non-square integer; this method is used by many computers today.
	jwilson.coe.uga.edu /EMT668/EMAT6680.2000/Umberger/MATH7200/HeronFormulaProject/finalproject.html (964 words)

	Heron of Alexandria, Inventions, Biography, Science (1/2)
		Heron from Alexandria (Heron Alexandrinus) was a Mathematician, Physicist and Engineer who lived in 10-70 AD but some references consider also 150 AD which is probably wrong, as in one of his works he referred to a recent eclipse which is now thought to have occurred in 13 March 62 AD.
		Technically speaking, Heron's clever inventions were particularly notable for their incorporation of the sorts of self-regulating feedback control systems that form the bedrock of cybernetics; like today's toilets, his "inexhaustible goblet" regulated its own level with a floating mechanism.
		Heron describes constructions similar to the Theodolit used for measurements of angles and other devices such as the odometer used to measure distances.
	www.mlahanas.de /Greeks/HeronAlexandria.htm (2065 words)

	AFRL Propulsion Directorate-Edwards Research Site (Site not responding. Last check: 2007-10-18)
		Heron (or Hero), the man who invented the aeolipile around 75A.D., was from Alexandria.
		Heron was noted for his practical rather than his theoretical work, unlike many inventors of his day.
		Heron also created the formula for the area of a triangle, which is sometimes attributed to Archimedes.
	www.pr.afrl.af.mil /aeolipile.html (2137 words)

	Heron of Alexandria
		Heron, (also known as Hero) was a Greek mathematician.
		He loved to be in the library, because of the series of gardens, the 40,000 volumes, and the 300,000 books.
		In one of his books, Dioptra it mentions an eclipse of the moon visible from Alexandria, astronomers date that eclipse to be in 62 A.D., providing a clue of what Era Hero lived in.
	sps.k12.mo.us /phs/jpetersen/projects/mathematicians/heron.htm (885 words)

	CATHOLIC ENCYCLOPEDIA: Dionysius of Alexandria
		In the last year of Philip, 249, although the emperor himself was reported to be a Christian, a riot at Alexandria, roused by a popular prophet and poet, had all the effect of a severe persecution.
		Similarly Dionysius tells us that at Alexandria many conformed through fear, others on account of official position, or persuaded by friends; some pale and trembling at their act, others boldly asserting that they had never been Christians.
		Certain brethren of Alexandria, being offended at the words of their bishop, betook themselves to Rome to Pope St. Dionysius (259- 268), who wrote a letter, in which he declared that to teach that the Son was made or was a creature was an impiety equal, though contrary, to that of Sabellius.
	www.newadvent.org /cathen/05011a.htm (2967 words)

	Heron Aerospace
		Heron Aerospace is named in honor of Heron of Alexandria (sometimes called Hero -- born about 10 A.D. and died about 75 A.D.) -- an important geometer and worker in mechanics, and possibly the inventor of the first steam engine (Heron's Aeolipile).
		Heron wrote a number of important treatises on mechanics.
		The Heron Aerospace logo is designed to be an abstraction of Heron's aeolipile.
	www.heronaerospace.com /name-and-logo.html (173 words)

	Heron's formula - InfoSearchPoint.com (Site not responding. Last check: 2007-10-18)
		ja:ヘロンの公式 In geometry, Heron's formula states that the area S of a triangle whose sides have lengths a, b, c is given by
		The formula is credited to Heron of Alexandria in the 1st century A.D., and a proof can be found in his book Metrica.
		Let a, b, c be the sides of the triangle and A, B, C the angles opposite those sides.
	www.infosearchpoint.com /display/Heron%27s_formula (281 words)

	AllRefer.com - Heron of Alexandria (Mathematics, Biography) - Encyclopedia
		Heron of Alexandria[hEr´on] Pronunciation Key or Hero, mathematician and inventor.
		The dates of his birth and death are unknown; conjecture places them between the 2d cent.
		A.D. He is believed to have lived in Alexandria; although he wrote in Greek, his origin is uncertain.
	reference.allrefer.com /encyclopedia/H/HeronAle.html (234 words)

	Hero of Alexandria : Heron of Alexandria (Site not responding. Last check: 2007-10-18)
		Hero (or Heron) of Alexandria (roughly A.D. to roughly A.D.) was a Greek engineer.
		In geometry, he wrote down the formula (Heron's formula) for calculating the area of a triangle in terms of its sides.
		It uses material from the wikipedia article Hero of Alexandria : Heron of Alexandria.
	www.eurofreehost.com /he/Heron_of_Alexandria.html (225 words)

	heron
		Grep of noun heron acheron fl-crowned night heron boat-billed heron great blue heron great white heron heron heron's bill heronry little blue heron night heron river acheron snowy heron yellow-crowned night heron Overview of noun heron The noun heron has 2 senses (no senses from tagged texts) 1.
		Hero, Heron, Hero of Alexandria -- (Greek mathematician and inventor who devised a way to determine the area of a triangle and who described various mechanical devices (first century)) 2.
		heron -- (gray or white wading bird with long neck and long legs and (usually) long bill) Overview of noun heron The noun heron has 2 senses (no senses from tagged texts) 1.
	www.beetfoundation.com /words/h/alt.heron.html (221 words)

	References for Heron (Site not responding. Last check: 2007-10-18)
		J G Smyly, Square roots in Heron of Alexandria, Hermathena 63 (1944), 18-26.
		C M Taisbak, An Archimedean proof of Heron's formula for the area of a triangle; reconstructed, Centaurus 24 (1980), 110-116.
		C M Taisbak, Errata: An Archimedean proof of Heron's formula for the area of a triangle; reconstructed, Centaurus 25 (1-2) (1981/82), 160.
	www.gap-system.org /%7Ehistory/Printref/Heron.html (235 words)

	Name of Geometer (Site not responding. Last check: 2007-10-18)
		The birth date of Heron of Alexandria is unknown, although, some believe he was born around 50 BC.
		Another interesting fact about Heron was that he was not only a mathematician but he was also scientist and an inventor.
		Heron came up with the idea of the steam engine.
	users4.ev1.net /~haynesdon/Project/08.htm (220 words)

	Heron Of Alexandria Encyclopedia Article, Definition, History, Biography (Site not responding. Last check: 2007-10-18)
		Looking For heron of alexandria - Find heron of alexandria and more at Lycos Search.
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	www.karr.net /search/encyclopedia/Heron_of_Alexandria (631 words)

	Constructing a Proof of Heron's Formula
		Heron, or Hero, of Alexandria is credited with the 1st century discovery of a formula for determining the area of a triangle in terms of the sides.
		There are two common approaches to the proof of Heron's Formula.
		About 500 years after Heron lived, Brahmagupta gives the formula for the area of a quadrilateral inscribed in a circle as
	jwilson.coe.uga.edu /emt669/Student.Folders/Jones.June/heron/heronpaper.html (626 words)

	Bowie Wonderworld Columnists: Black Owl - Heron of Alexandria (Site not responding. Last check: 2007-10-18)
		I know this latest column is not about David Bowie, but if you are curious about history and mathematics, you would be surprised to discover (if you don't know already) what Heron of Alexandria invented.
		Heron built a lot of machines especially for priests.
		Heron built doors who could be opened automatically, people were impressed and thought it was magical, but in reality it was a mechanism used by priests.
	www.bowiewonderworld.com /cols/blackowl05.htm (112 words)

	Heron of Alexandria, Greece, ancient history
		Heron studied the preassure of air and steam, and built the first steamengine and toys that would spurt water, one of them known as Heron's fountain.
		He also developed various instruments for measuring distances and roads, and is sometimes credited with the formula that defines the area of a triangle from its sides.
		The texts, photographs, drawings and animations may not be copied and displayed in any way without written permission.
	www.in2greece.com /english/historymyth/history/ancient/heron_alexandria.htm (117 words)

	Smith College Museum of Ancient Inventions: Heron's Steam Engine (Site not responding. Last check: 2007-10-18)
		Steam Engine, Alexandria, 100 CE by Karen Fisher, 'AC Heron, the great inventor of Alexandria, described in detail what is thought to be the first working steam engine.
		The principle he used in his design is similar to that of today's jet propulsion.
		Heron did not consider this invention being useful for everyday applications: he considered his aeolipile invention as a novelty, a remarkable toy.
	www.smith.edu /hsc/museum/ancient_inventions/steamengine2.html (127 words)

	Heron of Alexandria and His Motor (Site not responding. Last check: 2007-10-18)
		He lived in Alexandria, Egypt in the first century A.D. (From around 10 A.D. to around 75 A.D., probably.) He was a mathematician and inventor, and he focused on geometry and things that had to do with water and air pressure.
		He's most famous for Heron's Formula, which has to do with the lengths of the sides of triangles.
		This library is pretty famous because it was lost, so to speak, during wars in that area, and the books inside weren't found until nearly a thousand years later.
	van.hep.uiuc.edu /van/qa/section/Everything_Else/History/950749321.htm (274 words)

	Heron of Alexandria: 3D View of the Web (Site not responding. Last check: 2007-10-18)
		See live article Heron (disambiguation) A heron is a bird There is also a god in Egyptian mythology named Heron There is a dinghy; see: Heron (dinghy) There are a number of places called Heron: Heron, Montana Heron, Belgium...
		See live article Hero of Alexandria Hero (or Heron) of Alexandria (roughly A.D. 10 to roughly A.D. 70) was a Greek engineer and geometer.
		See live article Heron's formula In geometry, Heron's formula states that the area S of a triangle whose sides have lengths a, b, c is given by where (see...
	www.resolve3d.com /Society/History/ByTopic/Science/EngineeringandTechnology/Biography/HeronofAlexandria (766 words)

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