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	LEONARDO OF PISA - LoveToKnow Article on LEONARDO OF PISA (Site not responding. Last check: 2007-11-05)
		Leonardos works are mainly developments of the results obtained by his predecessors; the influences of Greek, Arabian, and Indian mathematicians may be clearly discerned in his methods.
		Leonardos method, therefore, when the difference was a fixed condition of the problem, was necessarily very different from the Arabian, and, in all probability, was his own discovery.
		Leonardo, making use of fractions of the sexagesirnal scale, gives X = 10 22 7 42 33 4 40, after having demonstrated, by a discussion founded on the 10th book of Euclid, that a solution by square roots is impossible.
	www.1911encyclopedia.org /L/LE/LEONARDO_OF_PISA.htm (892 words)

	Leonardo of Pisa - Wikipedia, the free encyclopedia
		Leonardo was posthumously given the nickname Fibonacci (for filius Bonacci, son of Bonacci).
		William directed a trading post (by some accounts he was the consul for Pisa) in Bugia, a port east of Algiers in the Almohad dynasty's sultanate in barbaresque North Africa (now Bejaia, Algeria), and as a young boy Leonardo traveled there to help him.
		Leonardo became a guest of the Emperor Frederick II, who enjoyed mathematics and science.
	en.wikipedia.org /wiki/Leonardo_of_Pisa (384 words)

	Fibonacci (Site not responding. Last check: 2007-11-05)
		Bejaia is a Mediterranean port in northeastern Algeria.
		Frederick II supported Pisa in its conflicts with Genoa at sea and with Lucca and Florence on land, and he spent the years up to 1227 consolidating his power in Italy.
		This salary was given to Fibonacci in recognition for the services that he had given to the city, advising on matters of accounting and teaching the citizens.
	www-groups.dcs.st-and.ac.uk /~history/Mathematicians/Fibonacci.html (1979 words)

	The Life of Leonardo da Vinci (Site not responding. Last check: 2007-11-05)
		In 1452, Leonardo da Vinci was illegitimately born in the provincial town of Vinci, Italy.
		Leonardo was by then known as a talented musician as well as a skilled painter and sculptor.
		By 1503 Florence was at war with the neighboring city of Pisa, and Leonardo worked on a plan to divert the Arno River from the enemy city.
	people.smu.edu /laparks/biography.htm (1324 words)

	Hotel Leonardo - Pisa
		The NEW HOTEL LEONARDO, in a building of the historical centre of Pisa that was renewed but maintains the more precious, ancient particulars, is a more functional Hotel, with all modern conforts: lift, rooms with private bathrooms, telephone, fax, Tv with satell...
		The NEW HOTEL LEONARDO, in a building of the historical centre of Pisa that was renewed but maintains the more precious, ancient particulars, is a more functional Hotel, with all modern conforts: lift, rooms with private bathrooms, telephone, fax, Tv with satellite, conditioning air, phone and view over the beautiful, historical centre of Pisa.
		Private Parking.The Hotel «Leonardo» is located in via Tavoleria, 17 in the centre of Pisa, 50 mt. from «Piazza dei Cavalieri» and from the river «Arno», 150 mt. from «The leaning Tower»; it is very quiet and surrounded with a lot of typical restaurants where you can enjoy the Tuscany cook.
	reservation.placestostay.com /SearchHotel.aspx?AffiliateId=74754&HotelId=AAGQ4TgRfJGqoqj2KaO2&Currency=USD (184 words)

	Pisa
		Pisa's political and commercial power increased upon acquisition of possessions and trading privileges in the eastern Mediterranean during the Crusades.
		Pisa was badly damaged in World War II but was extensively reconstructed after 1945, largely retaining the characteristic Pisan style, a variation of the Romanesque.
		Pisa, Council of - Pisa, Council of, 1409, unrecognized council of the Roman Catholic Church.
	www.factmonster.com /ce6/world/A0839175.html (537 words)

	Fibonacci Numbers, Leonardo of Pisa (Site not responding. Last check: 2007-11-05)
		Leonardo of Pisa (1175 - 1250), also known as Fibonacci, is best known for his famous book Liber abacci.
		Leonardo is renowned for many other mathematical feats of his day which are not the topics of this website.
		As well as Liber Abacci, Leonardo also wrote several other ground breaking mathematical books most of which were too advanced to be understood be his contemporary medievil mathematicians- such was his genius.
	www.bath.ac.uk /~en1ba/1.html (433 words)

	Leonardo da Pisa on Encyclopedia.com (Site not responding. Last check: 2007-11-05)
		Fortune is a River: Leonardo da Vinci and Niccolo Machiavelli's Magnificent Dream to Change the Course of Florentine History.(Review)
		Sight unseen: vision and perception in Leonardo's Madonnas: in the first of two articles on Leonardo da Vinci, Larry J. Feinberg explains how the artist's interest in the way the eyes work influenced his realistic...
		Leonardo and drapery studies on 'tela sottilissima di lino'.(Critical Essay)
	www.encyclopedia.com /html/x/x-l1eonardop1.asp (305 words)

	[No title] (Site not responding. Last check: 2007-11-05)
		Leonardo wasn't one of history's great mathematicians, but he was one of the best during his time.
		It would seem Leonardo was able to find out the number of rabbits up to any amount he wanted, but he had to go month by month.
		Also, Jensen noted that Leonardo of Pisa was granted a yearly stipend for teaching and community service in 1240, and wrote the book Liber Abbaci.
	coyote.csusm.edu /public/DJBarskyWebs/330CollageOct08.html (1765 words)

	Fibonacci finder
		The "greatest European mathematician of the middle ages", his full name was Leonardo of Pisa, or Leonardo Pisano in Italian since he was born in Pisa (Italy), the city with the famous Leaning Tower, about 1175 AD.
		During Leonardo's boyhood his father, Guglielmo, an official of the Republic of Pisa, was appointed consul over the community of Pisan merchants in the North African port of Bugia (now Bejaïa, Algery).
		After 1228, virtually nothing is known of Fibonacci's life, except that by decree the Republic of Pisa awarded the "'serious and learned Master Leonardo Bigollo' (discretus et sapiens) a yearly salarium of 'libre XX denariorem' in addition to the usual allowances".
	www.archimedes-lab.org /nombredormachine.html (946 words)

	Fibonacci (Site not responding. Last check: 2007-11-05)
		J Gies and F Gies, Leonard of Pisa and the New Mathematics of the Middle Ages (1969).
		I G Basmakova, The 'Liber quadratorum' of Leonardo of Pisa (Russian), in History and methodology of the natural sciences XX (Moscow, 1978), 27-37.
		R Franci and L Toti Rigatelli, Towards a history of algebra from Leonardo of Pisa to Luca Pacioli, Janus 72 (1-3) (1985), 17-82.
	alas.matf.bg.ac.yu /~mm97106/math/fibo/standrew.htm (2306 words)

	Leonardo Fibonacci
		Leonardo Fibonacci was born in Pisa, Italy, around 1175.
		Leonardo Fibonacci was the gratest European mathematician of the Middle Ages.
		Leonardo wrote a book on how to do arithmetic in the decimal system, called "Liber abaci", completed in 1202.
	milan.milanovic.org /math/english/leonardo/leonardo.html (804 words)

	Encyclopedia: Leonardo of Pisa
		Abu Abdullah Muhammad bin Musa al-Khwarizmi Algorism is the name for the Indo-Arabic decimal system of writing and working with numbers, in which symbols (the ten digits 0 through 9) are used to describe values using a place-value system (positional notation), where each symbol has ten times...
		Pisas coat of arms This article is about Pisa in Italy.
		Liber Abaci (1202) is an historic book on arithmetic by Leonardo of Pisa, known later by his nickname Fibonacci.
	www.nationmaster.com /encyclopedia/Leonardo-of-Pisa (927 words)

	FIBONACCI
		Fibonacci, also known as Leonardo of Pisa, was born in Pisa, home of the famous leaning tower (inclined at an angle of 16.5 degrees to the vertical).
		Pisa today is best known for its leaning tower (inclined at an angle of about 161/2o to the vertical).
		Within a few decades of his death, Pisa was disastrously defeated by Genoa in the grim naval battle of Meloria and the decline of his native city had irreversibly begun.
	faculty.evansville.edu /ck6/bstud/fibo.html (4484 words)

	PACSOA - Cycad Cone Mathematics
		Lucas was very fascinated by the breeding of rabbits problem, as he could visualise some of their properties.
		He named the sequence as Fibonacci Numbers, or the son of Bonaccio numbers since Bonaccio was Leonardo's father(and filius or filio means son).
		Such a nickname was chosen for Leonardo's numbers because Lucas felt that he was not worthy of mentioning the real name of such a great mathematician who has given the gem of numbers.
	www.pacsoa.org.au /cycads/Articles/Mathematics.html (1272 words)

	MSN Encarta - Fibonacci
		Fibonacci, Leonardo or Leonardo of Pisa (1170?-1240?), Italian mathematician, who compiled and supplemented the mathematical knowledge of classical, Arabic, and Indian cultures, and who made contributions to the mathematical fields of algebra and number theory.
		Fibonacci was born in Pisa, Italy, a commercial city, where he learned the basics of business calculation.
		He was awarded a yearly salary by the Republic of Pisa in 1240, indicating the importance accorded to his work and also, possibly, public service to the city's administration.
	encarta.msn.com /encnet/refpages/refarticle.aspx?refid=761579463 (277 words)

	Who was Fibonacci?
		Leonardo's father, Guglielmo Bonacci, was a kind of customs officer in the North African town of Bugia now called Bougie where wax candles were exported to France.
		Vinci was just a few miles from Pisa on the way to Florence, but Leonardo da Vinci was born in Vinci in 1452, about 200 years after the death of Leonardo of Pisa (Fibonacci).
		Leonardo of Pisa and the New Mathematics of the Middle Ages J Gies, F Gies, Crowell press, 1969.
	www.mcs.surrey.ac.uk /Personal/R.Knott/Fibonacci/fibBio.html (3218 words)

	Leonardo Hotel Pisa Italy accommodation
		Leonardo Hotel is positioned in the historical centre of Pisa, just 50 metres from Piazza dei Cavalieri and the River Arno.
		The Leaning Tower of Pisa is a mere 400 metres away.
		Leonardo provides guestrooms which are equipped with up to date comforts such as private bathroom, telephone, satellite TV, air conditioning and many others.
	www.online-hotels-italy.com /leonardo-hotel-pisa.htm (83 words)

	Leonardo Pisano -- Encyclopædia Britannica
		English Leonardo of Pisa, original name Leonardo Fibonacci medieval Italian mathematician who wrote Liber abaci (1202; “Book of the Abacus”), the first European work on Indian and Arabian mathematics.
		He was a man of so many accomplishments in so many areas of human endeavor that his like has rarely been seen in human history.Casual patrons of the arts know him as the painter of La Gioconda, more commonly called the Mona Lisa, and of the exquisite Last Supper, painted on the...
		Ranging from a summary of the historical setting of the Italian Renaissance to comparisons of drawings from Leonardo's notebooks and modern-day inventions, the treatment is broad yet sufficiently detailed and informative.
	www.britannica.com /eb/article-9047817?tocId=9047817 (687 words)

	Leonardo Fibonacci
		Leonardo Fibonacci was born around AD1175, in Pisa, Italy.
		He was mostly known as Leonardo of Pisa, or Leonardo Pisano in Italian.
		Leonardo Fibonacci was a great mathematician who lived in 12th century Italy.
	sps.k12.mo.us /phs/jpetersen/projects/mathematicians/fibonacci.htm (879 words)

	Leonardo Fibonacci (Site not responding. Last check: 2007-11-05)
		Leonardo Fibnonacci was a famous Italian mathematitian who lived from 1170-1240 A.D. He helped introduce the Hindu-Arabic numbers (0,1,2,3,4,5,6,7,8,9,) into Western Europe.
		Leonardo Fibonacci was born in Pisa and is sometimes known as Leonardo of Pisa.
		Leonardo is most famous for a sequence he discovered called the Fibonacci sequence (0,1,1,2,3,5,8,13,21).
	northstar.k12.ak.us /schools/ryn/connections/1200-1400/Fibonacci.html (539 words)

	Florence: Capital of the Renaissance (Site not responding. Last check: 2007-11-05)
		When he was about 12 years old, Leonardo moved to the bustling city of Florence with his father.
		The face of Leonardo's angel is delicately colored and shows Leonardo's talent at representing emotions.
		The hazy features of the background Leonardo painted for the Baptism of Christ show he had already begun to develop his sense of aerial perspective.
	www.mos.org /sln/Leonardo/florence.html (530 words)

	Leonardo Fibonacci
		Pisa was an important commercial town in its day and had links with many Mediterranean ports.
		Leonardo's father (Guglielmo Bonaccio) was a kind of customs officer in the North African town of Bugia now called Bougie where wax candles were exported to France.
		He is perhaps more correctly called Leonardo of Pisa or, using a latinisation of his name, Leonardo Pisano.
	web.ukonline.co.uk /mathematiciansinhistory/Fibonacci.htm (937 words)

	Leonardo Hotel Pisa Italy (Site not responding. Last check: 2007-11-05)
		The Leonardo Hotel Pisa * is located in via Tavoleria, 17 in the centre of Pisa**, 50 mt. from Piazza dei Cavalieri and from the river Arno, 150 mt. from The leaning Tower.
		The Leonardo Hotel Pisa offers 27 rooms with private bathrooms, telephone, fax, Tv with satellite, conditioning air, phone and view over the beautiful, historical centre of Pisa.
		The Leonardo Hotel Pisa *, in a building of the historical centre of Pisa** that was renewed but maintains the more precious, ancient particulars, is a functional Hotel, with all modern conforts.
	www.benecom.com /italy/pisa/leonardo (125 words)

	Biography Fibonacci Leonardo
		Leonardo Fibonacci (PORTRAIT - 42K) was born in Pisa, Italy around 1170, the son of...
		Leonardo Pisano Fibonacci Born: 1170 in (probably) Pisa (now in Italy) Died: 1250 in (possibly) Pisa (now in Italy) Leonardo Pisano is better known by his nickname Fibonacci.
		The Hutchinson Dictionary of : Fibonacci, Leonardo or Leonardo of Pisa (c.
	www.spreadtrade2win.com /2/biography-fibonacci-leonardo.html (574 words)

	Fibonacci, Leonardo, also known as Leonardo of Pisa (Site not responding. Last check: 2007-11-05)
		He published Liber abaci/The Book of the Calculator in Pisa 1202, which was instrumental in the introduction of Arabic notation into Europe.
		From 1960, interest increased in Fibonacci numbers, in their simplest form a sequence in which each number is the sum of its two predecessors (1, 1, 2, 3, 5, 8, 13,...).
		In 1225 he won a mathematical tournament in the presence of Holy Roman Emperor Frederick II at the court of Pisa.
	www.cartage.org.lb /en/themes/Biographies/MainBiographies/F/Fibonacci/1.html (244 words)

	Leonardo of Pisa (Fibonacci) - Mathematics and the Liberal Arts
		The Mathematics and the Liberal Arts pages are intended to be a resource for student research projects and for teachers interested in using the history of mathematics in their courses.
		Attributes the success of Leonardo of Pisa (Fibonacci) to the unconventional ideas of his sovereign, Emperor Frederick II of the house of Hanover.
		McClendon, R. Leonardo of Pisa and His Liber quadratorum.
	math.truman.edu /~thammond/history/Fibonacci.html (1722 words)

	Pisa: Hotel Leonardo - Traveler Reviews - Nice Staff - TripAdvisor
		The staff at the Leonardo were very helpful, our room was neat and clean.
		I can't say much more than that we enjoyed our stay very much and for me it is more important to leave the place with a satisfied feeling than thinking about the small variety of a breakfast...
		We drove into Pisa early in the night without a room or a clue where to stay.
	www.tripadvisor.com /ShowUserReviews-g187899-d275897-r2986760-Hotel_Leonardo-Pisa_Tuscany.html (631 words)

	Fibonacci.html (Site not responding. Last check: 2007-11-05)
		Leonardo Fibonacci, also known as Leonardo Pisano, or Leonardo of Pisa, was the greatest Italian mathematician of medieval Christian Europe.
		As a result of his travels, Leonardo was raised in Bougie, Asia.
		When he returned to Pisa he put all the ideas into a book called Liber Abbci (book of the abucus) which was published in 1202.
	northstar.k12.ak.us /schools/ryn/connections/1000-1200/Fibonacci.html (266 words)

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