21. Heron Of Alexandria And His Motor back to list, heron of alexandria and His Motor. Q Also, here s a link to a really good page all about heron of alexandria. Good luck with your project! Tamara. http://van.hep.uiuc.edu/van/qa/section/Everything_Else/History/950749321.htm

back to list Heron of Alexandria and His Motor Q: Do you have any info. about "Hero's Motor"? I'm doing a science fair project on the "Hero's Fountain" and I would also like some information about "Hero" and some of his inventions. Thanks. Braydon (age 14) Lockerby Composite Sudbury A: Braydon - Although he's often called Hero, his actual name was Heron. 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. He wrote a lot of books about his work, many of which were stored in the Library of Alexandria. 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. He came up with a lot of inventions, including what he called the aeolipile, which was the first ever steam-based motor. It was basically a metal ball that could turn on a metal tube that ran through it. It had two bent pipes sticking out opposite sides. Steam came in through the tube in the middle and went out through the pipes on the sides. The steam pushing out through the holes in the sides made the ball spin. Unfortunately, no one ever really used this motor. For more information about Hero's Fountains, check out our answer to the question about that. You can get to it under the Cool Stuff About Air: Water section of our questions list.

22. Heron Of Alexandria encyclopediaEncyclopedia heron of alexandria, hEr on Pronunciation Key. heron of alexandria or Hero,mathematician and inventor. http://www.factmonster.com/cgi-bin/id/A0823538.hmtl

Encyclopedia Heron of Alexandria [h E Pronunciation Key Heron of Alexandria or Hero, mathematician and inventor. The dates of his birth and death are unknown; conjecture places them between the 2d cent. B.C. and the 3d cent. A.D. He is believed to have lived in Alexandria; although he wrote in Greek, his origin is uncertain. Several of his works survive either in Greek or in Latin translation. He wrote on the measurement of geometric figures, and a formula for finding the area of a triangle has been ascribed to him. Known for his study of mechanics and pneumatics, he invented many contrivances operated by water, steam, or compressed air; these include a fountain, a fire engine, siphons, and an engine in which the recoil of steam revolves a ball or a wheel. The Columbia Electronic Encyclopedia, Herondas Herophilus Print this page Cite this page AD AD AD ADS Link to Fact Monster Add Fact Monster search to your site ... Privacy Brought to you by:

23. Wundersames, Heron Translate this page Technical works by heron of alexandria, Aristides Quintilianus and Johannes Pediasimos, with diagrams, later 16th cent. http//image http://www.wundersamessammelsurium.de/Heron/

Heron von Alexandrien Hero von Alexandrien, Heron aus Alexandrien, Hero aus Alexandrien Heron of Alexandria, Hero of Alexandria, Heron from Alexandria, Hero from Alexandria Unter allen "alten" Findern und Erfindern ist der Grieche Heron von Alexandrien als außerordentlich bemerkenswert hervorzuheben. Er war ein gelehrter Wissenschaftler, Mathematiker, Mechaniker, Physiker, Naturforscher, Techniker, Ingenieur der Antike und lebte in Alexandrien, Ägypten. Von wann bis wann er genau lebte ist unklar, ein Gelehrtenstreit, aber es war wohl in der Zeitspanne 150 v. Chr. - 250 n. Chr. De Automatis (Automat = griech.: Selbstbeweger). Eine Sammlung von Konstruktionen von 'thaumata', "Wunder"-erzeugenden Geräten speziell für Tempel. Heron beschreibt u. a.: sich selbst entzündende Opferfeuer, drehende und bewegende und tanzende Figuren, Bühnenblitze, Bühnendonner, selbsttätig öffnende und schließende Türen, automatische Musik auf Zimbeln und Trommeln, den Ausfluss von Wein oder Milch aus dem Becher einer Figur. Automaten gibt es mindestens seit dem 3. Jh. v. Chr. Der griechische Mechaniker Philon von Byzanz beschreibt in seiner "Mechanike syntaxis" pneumatische Apparate. Damals gab es sogar automatische astronomische Anzeigegeräte.

24. Heron Von Alexandrien Heron von Alexandrien heron of alexandria, Hauptseite/Main Page. Deutsch. English. Heron von http://www.niester.de/g_antike/aegypter/heron/heron.html

Heron von Alexandrien Heron of Alexandria Hauptseite/Main Page Deutsch English Heron von Alexandrien All you ever wanted to know about Aeolipiles Heron, Mathematik Heron Thermodynamics ... ZDF.de - Die ersten Automaten - Heron von Alexandrien Erstellt am:

25. ®ü­Û¡]Heron Of Alexandria, ¤½¤¸62¦~¥ª¥k¡^ The summary for this Chinese (Traditional) page contains characters that cannot be correctly displayed in this language/character set. http://www.edp.ust.hk/math/history/3/3_86.htm

®ü­Û¡]Heron of Alexandria, ¤½¤¸62¦~¥ª¥k¡^ ¡@¡@¥L¦h¤~¦hÀ¡Aµ½©ó³Õ±Ä²³ªø¡C¦b½×Ò¤¤¤jÁx¨Ï ¥Î¬Y¨Ç¸gÅç©Êªºªñ¦ü¤½¦¡¡Aª`­«¼Æ¾Çªº¹ê»ÚÀ³¥Î¡C ¥D­n°^Äm¬O¡m«×¶q½×¡n¤@®Ñ¡C¸Ó®Ñ¦@3¨÷¡A¤À§O½× ­z¥­­±¹Ï§Îªº­±¿n¡A¥ßÅé¹Ï§ÎªºÅé¿n©M±N¹Ï§Î¤À¦¨ ¤ñ¨Òªº°ÝD¡C¨ä¤¤¨÷¢×²Ä8Dµ¹¥XµÛ¦Wªº®ü­Û¤½¦¡ ªºÒ©ú¡A³]¤T¨¤§Îäªø¤À§O¬Oa¡Bb¡Bc¡As¬O¥b©Pªø¡]§Ys=(a+b+c)/2¡^¡A£G¬O¤T¨¤§Îªº­±¿n¡A«h¦³£G¡× ¡@¡@¥Lªº¦¨´NÁÙ¦³¡G¥¿3¨ì¥¿12ä§Î­±¿n­pºâªk¡F ªø¤è¥xÅé¿n¤½¦¡¡F¨D¥ß¤è®Úªºªñ¦ü¤½¦¡µ¥¡C

26. "Natural Magick" - "Glossary/Index - H" heron of alexandria Greek mathematician heron of alexandria, who lived in 1 AC. Heron teaches, that in burning of walls, after http://homepages.tscnet.com/omard1/h.htm

Home Page "Natural Magick" The Author And His Work Editor/Producer ... Book Store "H" A B C D ... Z note : herbs/plants ref. w/" The English Physitian ", Culpeper, Nicholas, 1616-1654. where possible. or ( B otanical.com A Modern Herbal , Mrs. M. Grieve) Habergeon Habergeon (Hauberk) - Properly, a short hauberk, but often used loosely for the hauberk. A coat of mail; especially, the long coat of mail of the European Middle Ages, as contrasted with the habergeon, which is shorter and sometimes sleeveless. "...How an Habergeon or Coat of Arms is to be tempered..." Hackle Hackle - One of the peculiar, long, narrow feathers on the neck of fowls, most noticeable on the cock. "...And if a women with a child meets a Serpent , her fruit becomes abortive. Hence it is, that when a woman is in very Fore Travel , if she does but smell the fume of an Adder's Hackle , it will presently either drive out, or destroy her child. .." Hack Hack - A frame or grating of various kinds; as, a frame for drying bricks, fish, or cheese; a rack for feeding cattle; a grating in a mill race, etc. And it is fit for to make wicks for candles. Yet that is stuck in with

27. ThinkQuest : Library : Start Your Engines! Although there were about 18 Greek writers under the name of Hero or Heron, this specific Greek scientist was known as Hero or heron of alexandria. http://library.thinkquest.org/C006011/english/sites/heron_bio.php3?v=2

28. Heron In Directory.co.uk 8. Heron heron of alexandria. Born about Sometimes called Hero, heron of alexandria was an important geometer and worker in mechanics. Perhaps the http://www.directory.co.uk/Heron.htm

directory.co.uk Add to Favourites Search the directory for document.cookie="metasearch=1799387146.20480.0000"; directory.co.uk listings for "Heron" (1 - 20 of 54) Next > Are you looking for? Blue Heron Patrick Heron Heron Island Decoy Heron ... Herons Retreat View By Relevance View By Search Engine MyCokeMusic downloads - Heron Over 250,000 tracks from 10,000 artists ready for download, including exclusives and pre-releases. Where your music comes first. Sponsored by: http://www.mycokemusic.com Find James Heron at eBay.co.uk Great deals on books, comics and magazines on eBay.co.uk, the UK's online marketplace. Sponsored by: http://www.ebay.co.uk Heron Choose from over 100,000 posters at AllPosters.com. Framing available! Sponsored by: http://www.allposters.com/ Protect your fish from herons Humanely protect your fish pond or lake from the dreaded heron Sponsored by: http://www.victoriana.ws Heron Posters at AllPosters.com Buy posters by Heron at AllPosters.com. Choose from over 150,000 posters and prints in the movies, music, fine art and sports category. Framing and mounting available. Sponsored by: http://www.allposters.com

29. Heron Of Alexandria --  Britannica Concise Encyclopedia Online Article Britannica Concise Encyclopedia, heron of alexandria Britannica Concise. MLA style heron of alexandria. Britannica Concise Encyclopedia. 2004. http://concise.britannica.com/ebc/article?eu=392312

30. Final Project Contents. I. A brief history of heron of alexandria. II. V. Resources. heron of alexandria. Not much is known about the man named heron of alexandria. http://jwilson.coe.uga.edu/EMT668/EMAT6680.2000/Umberger/MATH7200/HeronFormulaPr

MATH 7200 : Foundations of Geometry I University of Georgia, Fall 2000 Dr. McCrory, Instructor Final Project: Heron's Formula by Shannon Umberger Contents I. A brief history of Heron of Alexandria II. Heron's Formula , including a GSP sketch to test III. Three proofs of Heron's Formula: one algebraic, one geometric, and one trigonometric IV. Related topics: A. Brahmagupta's Generalization , including a GSP sketch to test and a proof B. An extension of Brahmagupta's Generalization, including a GSP sketch to test C. The Pythagorean Theorem , including a proof using Heron's Formula V. Resources Heron of Alexandria Not much is known about the man named Heron of Alexandria. Even his name is not definite; he has been called Heron and Hero. No one knows exactly when he lived, though it is commonly believed that he lived sometime between 150 B.C. and 250 A.D. Heron did live in the great scholarly city of Alexandria, Egypt, where many Greek mathematicians and scientists studied. Yet it is not known whether he was a Greek or actually an Egyptian with Greek training. 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. 178). Most of these works can be divided into two categories: geometric and mechanical. While approximately fourteen of his treatises have been uncovered, there are references to other lost works.

31. Math Forum - Ask Dr. Math heron of alexandria Born about 65 in (possibly) Alexandria, Egypt Died about 125 Sometimes called Hero, Heron was an important geometer and worker in http://mathforum.org/library/drmath/view/52532.html

Associated Topics Dr. Math Home Search Dr. Math Who was Hero (or Heron)? Date: 11/12/97 at 12:50:48 From: Jeff Kilgore Subject: Who was Hero? I have been trying to find information on the Greek mathematician Hero. The encyclopedias that I have referenced either do not give any information, or they just state that he was a Greek who found a formula for the area of triangles. Any references would be helpful. http://mathforum.org/dr.math/ Associated Topics High School History/Biography Middle School History/Biography Search the Dr. Math Library: Find items containing (put spaces between keywords): Click only once for faster results: [ Choose "whole words" when searching for a word like age. all keywords, in any order at least one, that exact phrase parts of words whole words Submit your own question to Dr. Math Math Forum Home Math Library Quick Reference ... Math Forum Search Ask Dr. Math TM http://mathforum.org/dr.math/

32. About "Heron's Calculation Of Triangle Area (MSTE)" The area of a triangle can be calculated using a formula attributed to heron of alexandria. This calculation requires...... http://mathforum.org/library/view/7888.html

Heron's Calculation of Triangle Area (MSTE) Library Home Full Table of Contents Suggest a Link Library Help Visit this site: http://www.mste.uiuc.edu/dildine/heron/triarea.html Author: James P. Dildine; University of Illinois at Urbana-Champaign (UIUC) Description: The area of a triangle can be calculated using a formula attributed to Heron of Alexandria. This calculation requires that the lengths of all three sides be known. This activity includes an Excel file to calculate the area of a triangle, and Java and Sketchpad files to experiment with interactive triangles. Explore the Triangle Inequality Theorem while exmining the acceptable ranges for the third side of a triangle. Levels: Middle School (6-8) High School (9-12) Languages: English Resource Types: Lesson Plans and Activities Problems/Puzzles Documents/Sketches/Galleries General Software Miscellaneous ... Web Interactive/Java Math Topics: Triangles and Other Polygons Home The Math Library Quick Reference ... Contact Us http://mathforum.org/

33. Heron's Cheiroballistra By Aitor Iriarte The Heron named in the title of most manuscripts is currently identified with the famous heron of alexandria, who lived during the second half of first century http://198.144.2.125/Siege/Aitor/Cheroballistra Sources.htm

ANALYSIS OF "THE CHEIROBALLISTRA" The Cheiroballistra is a very short treatise, written in Attic Greek. It is clearly divided into five sections, each one of them followed by a diagram. The four main manuscript sources for establishing text and diagrams of the Cheiroballistra are the following ones M : Codex Parisinus inter supplementa Graeca 607 (foll. 56 r v ). Bibliothèque Nationale, Paris. F : Fragmenta Vindobonensia 120, olim 113 (foll. 12 r v ). Österreichische NationalBibliothek, Vienna. P : Codex Parisinus Gr. 2442 (foll. 68 v v ). Bibliothèque Nationale, Paris. V : Codex Vaticanus Gr. 1164 (foll. 106 v v ). Biblioteca Vaticana, Rome. The treatise has reached us obviously incomplete. Only the components of one small arrow-shooting catapult (or should we say ballista ?) are described. The text lacks a foreword, which is present even in the driest treatises , and, maybe, more instructions about how to assemble the machine out from the already described components. From the kind of machine described, the

34. Heron heron of alexandria. Born about 65 in (possibly) Alexandria, Egypt Died about 125 in Not known. http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/Hrn.htm

Heron of Alexandria Born: about 65 in (possibly) Alexandria, Egypt Died: about 125 in Not known Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Welcome page Sometimes called Hero, Heron was an important geometer and worker in mechanics. Book I of his treatise Metrica deals with areas of triangles, quadrilaterals, regular polygons of between 3 and 12 sides, surfaces of cones, cylinders, prisms, pyramids, spheres etc. A method, known to the Babylonians 2000 years before, is also given for approximating the square root of a number. Heron also proves his famous formula: if A is the area of a triangle with sides a, b and c and s=(a+b+c)/2 then A = s(s-a)(s-b)(s-c). In Book II of Metrica , Heron deals with volumes of various 3-dimensional figures such as spheres, cylinders, cones, prisms, pyramids etc. Book III of Metrica deals with dividing areas and volumes according to a given ratio. Dioptra deals with theodolites and surveying. It contains a chapter on astronomy giving a method to find the distance between Alexandria and Rome using the difference between local times at which an eclipse of the Moon is observed at each cities. Catoptrica deals with mirrors. Heron, in his study of light, states that vision results from light rays emitted by the eyes. He believes that these rays travel with infinite velocity.

35. The History Channel Friday May 14, Time Machine Ancient Discoveries heron of alexandria, Modern Marvels The Wheel, Investigating History Billy the Kid. http://www.historychannel.com/global/listings/listings_weekly.jsp?NetwCode=THC&t

36. The History Channel On Now 67pm, Time Machine Ancient Discoveries heron of alexandria In Part 3, we travel to Alexandria, Egyptthe home of inventors and philosophers in ancient http://www.historychannel.com/global/listings/listings.jsp?NetwCode=THC&View=Now

37. Heron's Criterion heron of alexandria lived in the first century BC and contributed massively to mechanics, optics, and geometry. Today he is mainly http://www.math.ubc.ca/~hoek/Teaching/Heron/Herocrit.html

Heron's Criterion Part of the Geometry Primer for Mathematics 337 at the University of British Columbia. Heron of Alexandria lived in the first century BC and contributed massively to mechanics, optics, and geometry. Today he is mainly remembered for a remarkable way of computing the area of a triangle (Heron's Formula) namely as the square root of a four-dimensional volume! A bold stroke which we shall hide by jumping from shapes to numbers before we get to the famous formula. For the moment staying with shapes let us consider a triangle ABC decomposed as shown on the left by cutting along the angle bisectors and the perpendiculars dropped onto the sides from the centre of the inscribed circle. The resulting six wedges can then be arranged into a rectangular strip marked with a zig-zag pattern like so. First question: given a strip subdivided as on the right, with obtuse angles LAM and AMB, how can one tell (without taking it apart) that its pieces can be assembled into triangle as shown above? By the way, if angle AMB were not obtuse, the angles around M in the next diagram below would add to at most 180 degrees (see?), and there would no "crater" at M to fit the purple wedge and its twin. Likewise for LAM.

38. The Area Of A Triangle Numerically unstable and numerically stable solution. The classical formula due to heron of alexandria first calculates a semiperimeter, S, as half the sum of http://www.geocities.com/SiliconValley/Garage/3323/aat/a_atria.html

The area of a triangle PROBLEM Given the lengths of three sides of a triangle X Y Z . How to calculate the area of this triangle? Numerically unstable and numerically stable solution The classical formula due to Heron of Alexandria first calculates a semiperimeter, S , as half the sum of the sides, and then evaluates the area as in the following internal function HERON IMPLEMENTATION Unit: internal function Interface: the functions SQRT Parameters: positive real numbers X Y Z - lengths of three sides of a triangle a positive integer P - number of significant digits of result, default is Returns: the area of a triangle HERON: procedure parse arg X, Y, Z, P if P = "" then P = 9; numeric digits P S = (X + Y + Z) / 2 return SQRT (S * (S - X) * (S - Y) * (S - Z), P) This function is numerically unstable for needle-shape triangle. W. Kahan describes a good, numerically stable, function. It follows: ATRIAN: procedure parse arg X, Y, Z, P if P = "" then P = 9; numeric digits P then do; W = X; X = Y; Y = W; end then do; W = X; X = Z; Z = W; end then do; W = Y; Y = Z; Z = W; end

39. Heron Aerospace Heron Aerospace is named in honor of heron of alexandria (sometimes called Hero born about 10 AD and died about 75 AD) an important geometer and worker http://www.heronaerospace.com/name-and-logo.html

Members' Area Home Projects Store ... Company Info. 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. They give methods of lifting heavy weights and describe simple mechanical machines. His works also examine the theory of motion, statics problems, balance, levers, pulleys, screws, etc. The aeolipile was a hollow sphere mounted so that it could turn on a pair of hollow tubes that provided steam to the sphere from a pot of boiling water. The steam escaped from the sphere from one or more bent tubes projecting from its equator, causing the sphere to revolve. The aeolipile is the first known device to transform steam into rotary motion. The Heron Aerospace logo is designed to be an abstraction of Heron's aeolipile. Interestingly, this abstraction also bears abstract resemblance to the head-on-view of the turbines in many modern jet engines. Home Projects Store Get Involved!

40. The History Of Mathematics - Library Center For E-courses . ?. heron of alexandria The Mac Tutor History of Mathematics Archive, University of St. Andrews . http://lib.haifa.ac.il/www/mesila/math/sites.htm

The History of Mathematics Trinity College, Dublin:á åôñàðù íåçúá íéøúà David R. Wilkins éãé ìò The History of Mathematics David R. Wilkins : é"ò êøòð History of mathematics resources Indexes of Biographies MacTutor History of Mathematics archive:êåúî Mathematicians of the Seventeenth and EigHteenth Centuries Mathematics Genealogy Project Mathematical Journey through Time The Mactutor History of Mathematics archive University of st Andrews Scotland,School of Mathematics and Statistics:êåúî Philosophy and History of Science Kyoto University World of Scientific Biography Erics Treasure Trove of Scientific Biography Arabic mathematics : forgotten brilliance? Doubling the cube History Topics: Babylonian mathematics History Topics: Ancient Egyptian mathematics ... udoxus of Cnidus The Mac Tutor History of Mathematics Archive, University of St. Andrews êåúî Eudoxus of Cnidus An Introduction to the works of Euklid with an Emphasis on the Elements Euclid of Alexandria The Mac Tutor History of Mathematics Archive University of St. Andrews:êåúî

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