Middle+Ages+Documents

 Some of the things introduced to the Europeans in the Middle Ages really help the human race in modern-times ...

As most Americans know, Fibonacci is most commonly known for his code - 1,1,2,3,5,8,13,21,34... - but he discovered many more things. Leonardo Fibonacci was born in Pisa in about 1175 AD. He is known today as one of the greatest Middle Age mathmathematician. Leonardo's discoveries were imperative to keep up Europe's academics. Fibonacci introduced Hindu-Arabic number system, using a number system based on ten digits with a symbol zero. A famous document or book of his is called //Liber Abaci// meaning "Book of the Abacus or Book of Calculating." Many people were unsure of his teachings but were convinced once reading this book. //Liber Abaci// taught how to do arithmetic in the decimal system. The basic principles described in this book were new teachings back in the Middle Ages. This book explained, in great detail, seven methods of rational number conversions. Some aspects of these methods originated from the Egypt Middle Kingdom. This book laid the foundation for what we take for granted today in schools. The curriculum in this book is our first-grade level but it had to be discovered at one point. Fibonacci laid ground-working for many modern-day theorems and answered many unknown mathematical questions during his life time.
 * //Liber Abaci//**

The Treaty of Verdun is the treaty that separated Charlemagne's empire into three parts for his three surviving grandchildren. Charlemagne's son Lious, actually brought up the treaty. The treaty was made in 843 and gave Lothair the central portion, Louis the east, and Charles the West. War did break out between the brothers once Lious, their father, died. Lothair tried to seize control but Louis and Charles armies crushed his forces. The treaty was worked out. Even though the treaty was supposed to establish peace, it really ended up breaking out in war, though eventually, all was settled.
 * //Treaty of Verdun//**