41. ModBlog - Grassy Knoll Theories Natural Magick Glossary/Index - H heron of alexandria - Greek mathematician heron of alexandria, who lived in 1 AC heron of alexandria wrote a book of them, but they are lost . http://lotgk.modblog.com/core.mod?show=blogview&blog_id=389220

42. LacusCurtius • Trajan's Column — Roman Artillery & Siege Engines (J or instructed pupils, amongst whom was Heron, at Alexandria. of this page The work contains a treatise by heron of alexandria, pupil of Ctesibius, http://penelope.uchicago.edu/Thayer/E/Gazetteer/Places/Europe/Italy/Lazio/Roma/R

mail: Bill Thayer Italiano Help Up Home previous Section This webpage reproduces a section of A Description of the Trajan Column by John Hungerford Pollen printed by George E. Eyre and William Spottiswoode, printers to Queen Victoria London, Text and engravings are in the public domain. next Section This webpage contains text in accented Greek, using a burned-in font. If it is not displaying properly, you need to use a compliant browser rather than Internet Explorer. The artillery and siege trains of the Trajan column Fig. 10. Dacian Balista. Mounted as a wall piece. One of the most interesting features in the sculptures of the Trajan Column is the representation, difficult to meet with elsewhere, of the artillery of the Romans. The Romans well understood the advantage, not only of being able to inflict loss on an enemy at long ranges, while he was too distant to annoy their own troops, but also of the moral weight which the possession of mechanical contrivances for this purpose would give them. Some advantage was gained by the Carthaginians when they brought elephants into battle. Besides being formidable in the actual shock of battle, those monsters inspired terror from their size, their supposed ferocity, and the prevailing ignorance about them. In more ancient times the weight, size and space of ground covered by ranks of armed chariots, in the Asiatic and Greek armies, the mere noise produced by these vehicles, the roar of a thousand wheels (without springs) rolling over rough ground, probably contributed to demoralize an enemy before any actual contact with the rank or phalanx of spearmen.

43. ANALYSIS HERON S FORMULA A famous formula due to heron of alexandria is that for the *heron of alexandria(65-125AD) was an expert in geometry and mechanics http://aemes.mae.ufl.edu/~uhk/ANALYSIS.htm

44. ³Â¬Ù²z¤u¾Ç°|¡u¶}©ñ¦¡½Òµ{ºô­¶¡v | ¹q¾÷¤uµ{»P¸ê°T� heron of alexandria s sqrt Method ;;; ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;. (define (sqrtheron x). (define (sqrt-iter guess x) (display guess) (newline) http://www.twocw.net/mit/Electrical-Engineering-and-Computer-Science/6-001Struct

var cmThemeOfficeBase = '../../../../images/'; ·j´M ¶i¶¥·j´M ±Ð¾Ç¤jºõ ½Ò°óÁ¿½Z ±MD ... Structure and Interpretation of Computer Programs, Fall 2002 This course is divided into recitation sections of about 30 to 35 students which meet twice per week. The purpose of the recitations is to expand upon course materials covered in lecture and allow students to practice working with the material in an interactive setting. Below is material written by one of the recitation instructors for students enrolled in the course. 6.001 Recitation Notes, Fall 2002, by Recitation Instructor Peter Szolovits This Web page contains notes and program fragments that I have used in presenting some of the 6.001 recitations this term. A number of students have asked for these to be available, therefore I have collected them here. Higher-order Procedures "Alternative" methods of computing square-root Printing Pairs vs. Printing Lists Reader, Evaluator and Printer Maintaining a priority queue for simulation Higher-order Procedures In the recitation following the introduction of higher-order procedures, I argued that there is a necessary sense of design elegance for building complex systems that remain comprehensible. One aspect of that elegance is related to regularity and the ability to compose operations. For example, we looked at two alternative implementations of how one might take a derivative of an arbitrary function of one variable: The typical approach in ordinary programming languages is to define a procedure, say ddx, that takes as inputs the procedure that computes the function of one argument and the value, x, at which the derivative is to be evaluated.

45. Engineering Database 50BC, Steam engine invented by heron of alexandria. 1, Chinese mathematician Liu Hsin uses 60, heron of alexandria writes Metrica (Measurements). http://www.diracdelta.co.uk/science/source/t/i/timeline/source.html

Timeline A brief overview of the major milestones in science and engineering. Palaeolithic peoples in central Europe and France record numbers on bones. Early geometric designs used. Sheep are domesticated in the Middle East. Corn is domesticated in the Oaxaca Valley. Wheat is domesticated in Mesopotamia. Cattle are domesticated in Mesopotamia. Copper artifacts are common in the Middle East. Barley is domesticated in Egypt. Potatoes are domesticated in Peru and Bolivia. Light wooden plows are used in Mesopotamia. Kiln-fired bricks and pots are made in Mesopotamia. Irrigation is developed in Mesopotamia. The first symbols for numbers, simple straight lines, are used in Egypt. Wheeled vehicles are used in Uruk. Square-sailed ships used in Egypt. Draft oxen are used in Mesopotamia. Potter's wheel used in Mesopotamia. Pyramids are built in Egypt. Bronze is developed in Mesopotamia. Horse drawn vehicles are used in Egypt. Horse riding is developed on the Eurasia steppes. Copper is smelted in China. Rice paddies are developed in China. Iron working is developed in the Middle East.

46. Untitled Document heron of alexandria. Two thousand years ago, in his Pneumatick , he described the principles of reactive motion. The Sphere of Heron shows the http://www.informatics.org/museum/origins.html

The Origins Of Ideas of Space Flight. This exposition is about humanity's dreams about wings, flight, and space flight. From the earliest folk tales to fantasy and science fiction. The exhibition includes some information about Icarus and Kai-Kaus, Russian folk tales, and Lucian of Samosata, among others. - Lucian of Samosata (II Cent. A.D.). He was a Greek sophist and satirist. He wrote the very first science fiction space travel novels "True History" and "Icaro-Menippus". He described an accidental trip to the Moon by means of a sailing vessel. - Kai-Kaus. The hero king from epic poem "Shah-Nama", was published by the Persian poet Firdausi (1010 B.C.). Kai-Kaus acheived flight with the help of four eagles. This part of the exposition is about the begining of scientific research of propulsive motion in ancient times, including the first reactive engine created by Heron of Alexandria. Visitors can see here a model of the Ho-Tsyan Arrow (Fiery Arrow), and to learn about Van-Ghu's tragic flight. Additional information about Middle Century rocketry and Mongolphier's new hot air baloon flight technology are here as well. - Heron of Alexandria. Two thousand years ago, in his "Pneumatick", he described the principles of reactive motion. "The Sphere of Heron" shows the possibility of reactive motion.

47. Sparsely Populated Time Series And Chaotic Map Dynamics Determine the future states of the heron of alexandria s map xn+1= (xn+a/xn)/2 The Greek engineer heron of alexandria (10DC70DC) invented this map to http://www.how-why.com/tutorial/ChaoticTimeSeries.html

Sparsely Populated Time Series and Chaotic Map Dynamics x n+1 =f(x n Objectives Data mining extract the extremes Model sparsely populated time series with an equation - a map, which predicts the next state from the current state. Simple nonlinear rules can produce irregular behavior with no long-term predictability - chaos Fig. 1 Time series of the Dow-Jones Index for one day. There are several data compression techniques possible: (i)a fit of an analytic function , such as x = a + b t + c t (trend analysis, x=value, t=time, a,b,c= fit parameters), (ii) a truncated series of approximation functions i a i sin(i t) which is focussed on a specific frequency range (power spectrum, a i = Fourier coefficient), or (iii) a sparsely populated time series such as a time bar (opening value, closing value, maximum value, minimum value). time bar , which indicates only the opening, closing, maximum and minumum value. Since all the other values are ignored, this is a sparsly populated time series Definition A map gives the value of a future state x n+1 as a function of the current state x n x n+1 =f(x n ,a) where the value x n is a real number, time step

48. Trivia-Man Made Machines Its inventor was a mechanical genius named heron of alexandria, In 60AD, heron of alexandria, harnessed the power of steam and built the aeoliopile. http://twotrees.www.50megs.com/attic/trivia/machines.html

Free Web Site Free Web Space and Site Hosting Web Hosting Internet Store and Ecommerce Solution Provider ... High Speed Internet if(window.ivnRotate) window.ivnRotate1 = new window.ivnRotate('ivnRotate1',0,document.awsSearch1.Keywords) Popular Searches: Trivia ~ Man Made ~ Machines ~ The cruise liner, Queen Elizabeth II, moves only six inches for each gallon of diesel that it burns. The first motorbike, built in 1868 was not powered by a gasoline engine, but by a steam engine. Its builder was Sylvester Roper. His steam-powered bike did not catch on, but it anticipated many modern motorbike features, including the twisting-handgrip throttle control. The electric chair was invented by a dentist. One day, in 1945. the Big Ben in London was slowed by five minutes. There was no mechanical defect. It was not manually switched off. A group of Starlings decided to rest on the minute hand It took engineers 22 years to design the Zipper. The first traffic light was installed at the intersection of Euclid Avenue and East 105th Street in Cleveland, Ohio. in 1914

49. ®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

50. Dictionary Of The History Of Ideas with the “automatic theatre” of heron of alexandria (second half of the first century AD), medes and in the inventions of a heron of alexandria, http://etext.lib.virginia.edu/cgi-local/DHI/dhiana.cgi?id=dv3-17

51. Crossbow FAQ GASTRAPHETES Greek weapon described by heron of alexandria similar to crossbow; 0100 AD, heron of alexandria describes gastraphetes. http://www.tardis.ed.ac.uk/~ajcd/archery/faq/crossbow.html

Crossbow FAQ Last-modified: 3 September 1996 Written by: Dave DeLaurant (dlaurant@class.org) Credits: Yogi (Y.) Shan Coralyn Clark Roy Nielsen Howard Thelemann Matthew J. Rapaport Chris Smith David R. Watson Barbara Stephen (yshan@bnr.ca) (Book) (medcc@lure.latrobe.edu.au) (roy@arctic.nmt.edu) (hthelem@wis.com) (mjr@crl.com) (Crossbow List owner) (kwhite@nbn.net) (chriss@rand.nidlink.com) (crossbow@moontower.com) (barbaras@rom.on.ca) CROSSBOW FAQ INFORMATION Contents Glossary History Current Manufacturers Reading List Books Periodicals Crossbow Designs Rolling Your Own ... Collected Messages GLOSSARY Note: Some of the terminology preferences used in this list are the author's and not common modern useage. Crossbow terminology is not altogether standardized and one should not be too pedantic about it. ARBALIST Latin language term for crossbow, derived from arcuballista (also spelled ARBALEST). ARMBRUST German language term for crossbow which is often preferred in international circles. ARROW Synonym for bolt which is preferred by some modern crossbow manufacturers. BACK Side of bow or lath facing target.

52. ARCE DC -- Newsletters Time Machine heron of alexandria “In Part 3, we travel to Alexandria, Egyptthe home of One of the greatest inventors was heron of alexandria, http://www.arcedc.org/jun052005.html

HOME EVENTS EMAIL LIST WEBSITES ... back to main newsletters page THE WASHINGTON, DC CHAPTER OF THE AMERICAN RESEARCH CENTER IN EGYPT INC. ARCE-DC WEEKLY NEWSLETTER June 5, 2005 The ARCE-DC Weekly Newsletter is sent by email to ARCE-DC members receiving email from ARCE-DC, certain members of other ARCE chapters and others who have requested that their email addresses be added to the distribution list. In order to accommodate different computer software, the emailed Newsletter is prepared in two versions - one as an attachment (marked “Attachment Version”) and one is directly in the email message (marked “Email Version”). Unless a recipient requests otherwise, only the “Attachment Version” is emailed. ARCE-DC members who don’t receive email from ARCE-DC receive the Newsletter each week by first class mail. All photos are by Chris Townsend, unless otherwise identified. Comments on the ARCE-DC Weekly Newsletter should be forwarded to Chris Townsend at christownsendiii@aol.com . Visit ARCE-DC's website, maintained by ARCE-DC Vice President Bob Wilson, at http://www.arcedc.org/index.html

53. Bryn Mawr Classical Review 2004.12.30 CW Marshall, Sophocles Nauplius and heron of alexandria s Mechanical Theatre , pp. 26179, presents a fascinating account of a miniature Hellenistic http://ccat.sas.upenn.edu/bmcr/2004/2004-12-30.html

Bryn Mawr Classical Review 2004.12.30 A. H. Sommerstein (ed.), Shards from Kolonos: Studies in Sophoclean Fragments Contributors: Reviewed by William Allan, University College, Oxford (william.allan@univ.ox.ac.uk) Word count: 3640 words This volume makes a valuable contribution to the study of Sophocles. It contains twenty essays and is based on the proceedings of a conference organized by CADRE (the Centre for Ancient Drama and its Reception) at the University of Nottingham in July 2000. There is currently a great resurgence of interest in the fragments of Greek tragedy, to which this collection is a welcome addition. As has long been recognized (but often ignored, especially in the study of Sophocles), the fragments encourage us to confront the variety of the tragedians' subject-matter and ideas and the versatility of their dramatic technique. Thus, if one considers the plays and fragments of Sophocles without the inherited lumber of his traditional identity as the most 'classic' or 'conservative' of dramatists, a very different picture of his oeuvre emerges. Sommerstein (p. 20 of his Introduction) accordingly discerns 'a Sophocles who is much more like Euripides than we have been accustomed to imagine.' While this is true, to a point, it is perhaps better to avoid the temptation (understandable though it is, given the plays that have survived) to explain the work of one dramatist in terms of another, since this risks obscuring the diversity and range, both in subject-matter and tone, of fifth-century tragedy as a whole.

54. Ballista Project This ballista is based on texts left to us by heron of alexandria and Philon of Byzantium, both engineers of great skill. It is typical of an artillery http://198.144.2.125/Siege/Photos.htm

Ballista Test Firing 4/17/99 The day had finally arrived! The ballista crew assembled at Anoka High School soccer field to try out the ballista for the first time. Th e f irst shot was done with the slider and sling drawn back only about halfway, just in case the shock of firing did any damage. The first shot went well, so the next shot was made a t 45 degrees for maximum range and power. Unfortunately, the piece of wood that stops the slider from sliding backwards when the trigger was released broke off when the slider struck it. The second shot flew 430 feet (134 yards). Also, some minor damage occurred to the engine. The hemp cord seizing the left loop of the sling to form the eye br oke. No big deal there. We noticed a piece of wood flying off to the left when the trigger was pulled, which also shows up in the photo to the left. As it turned out, the wood piece was the small piece of wood that was glued to the back of the left arm to prev e n t the arm from sliding inward in the cord bundle from the tension of the sling when it mov ed to the brace (undrawn) position. The glue joint obviously wasn't

55. Heron rogueclassicism10.00 pm HISTU Ancient Discoveries heron of alexandria heron of alexandria, a Greek mathematician, geometer, and worker in http://turnbull.mcs.st-and.ac.uk/~history/Mathematicians/Heron.html

Heron of Alexandria Born: about 10 in (possibly) Alexandria, Egypt Died: about 75 Click the picture above to see two larger pictures Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing Sometimes called Hero, Heron of Alexandria was an important geometer and worker in mechanics. Perhaps the first comment worth making is how common the name Heron was around this time and it is a difficult problem in the history of mathematics to identify which references to Heron are to the mathematician described in this article and which are to others of the same name. There are additional problems of identification which we discuss below. A major difficulty regarding Heron was to establish the date at which he lived. There were two main schools of thought on this, one believing that he lived around 150 BC and the second believing that he lived around 250 AD. The first of these was based mainly on the fact that Heron does not quote from any work later than Archimedes . The second was based on an argument which purported to show that he lived later that Ptolemy , and, since Pappus refers to Heron, before

56. Rogueclassicism: AWOTV: On TV Today 6.00 pm HISTU heron of alexandria In Part 3, we travel to Alexandria, Egyptthe home of One of the greatest inventors was heron of alexandria, http://www.atrium-media.com/rogueclassicism/Posts/00000687.html

rogueclassicism quidquid bene dictum est ab ullo, meum est ~ Seneca AWOTV: On TV Today In Part 3, we travel to Alexandria, Egyptthe home of inventors and philosophers in ancient times. One of the greatest inventors was Heron of Alexandria, a Greek mathematician, geometer, and worker in mechanics, who taught at the famous Museum. His strange inventions, such as automaton theaterspuppet theaters worked by strings, drums, and weightsautomatic doors, and coin-operated machines, were famous throughout the ancient world. Posted by david meadows on Sun, Jun 12, 2005 at 8:42 AM Comment on this post @ Classics Central tangelo

57. JRMES Index G-I heron of alexandria; Automata 68; Belopoeica 67; Cheiroballistra 6555; heron of alexandria 148, 56 Hexham Abbey 1161 Hibera 8216 http://www.armatura.connectfree.co.uk/index/indgi.htm

Dedicated to the Study of the Weapons, Armour, and Military Fittings of the Armies and Enemies of Rome and Byzantium Index for volumes 1-9 (1990-98) G H I Gabinius Gac gaesatii gaesum Gaeta Gaius Caesar Galba galea Galen Galera Galerius Maximianus Gallia 3, 303; Belgica 304; Transalpina Gallicani Gallic empire Gallienus Galli Victores Gamala Gammertingen Gamzigrad Garderen garland gastraphetes Gaugamela Gaul Gauls Gela Gelduba see Krefeld-Gellup Gellius, Aulus Geneva 145; Missorium Genialis Georgia Gepid Wars 20; weapon graves Gepidia Gepids Gergovie Germania 112; Inferior 24; Libera 106; Secunda 125; Superior Germanicus Germanicus Gemellus Germans Germany 7; Free see Germania Libera Gerulata Gessius, P. Getafa Gherla Giens Giglioli tomb Gilau Gildo Gisulf Giubiasco Givry gladiatores gladiators gladius hispaniensis glandes plumbeae Glanum globe motif Gloucester Golanda Golgoi Golobic bei Smarjeta Gomadingen Gomolava Gordian III Gordius of Caesarea Gorga collection gorget Gormaz Gornea Gorodishi village Gorrita gorytos Gostavat Gothic War Goths Grabice Gracchus, C.

58. Subject FAQ Crossbows Newsgroups Alt.archery,rec.sport.archery GASTRAPHETES Greek weapon described by heron of alexandria similar to crossbow; 0-100 AD heron of alexandria describes gastraphetes. http://www.student.utwente.nl/~sagi/faq/source/crossbow.txt

Chris Smith David R. Watson Barbara Stephen . The principal author is Joseph Needham, but individual volumes dealing with aspects of the subject have co-authors. The most recent volume out - they don't appear in sequence - is Vol. 5 Part VI:

59. 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/

60. Heron, Grekland heron från alexandria. Stor uppfinnare, matematiker och fysiker från alexandria i Egypten, som skrev böcker om matematik, fysik och mekanik. http://www.in2greece.com/swedish/historymyth/history/ancient/heron_alexandria.ht

Webmistress V.E.K. Sandels Hem antiken ... -Herodotos Alexandria -Hesiodos -Hipparchos Hipparchos -Hippokrates ... -Zeuxis Allt material p r ej bli kopierade eller publicerade p n got vis utan skriftligt tillst nd.

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