... call Di minor guisa written about commercial arithmetic. Book X was also lost it was about Euclid's Elements, in the book was a numerical treatment of irrational numbers the Euclid approached from geometric point of view. During the time Europe had little interest in scholars, which would have made Fibonacci being ignored by most. But on the contrary there was much interest in ... hands and the profortianal increase and decrease are given. Other problems include; perfect numbers, the Chinese remainder theorem, and summing arithmetic and geometric series. In the fourth section of his boo...

• Word Count: 999
• Approx Pages: 4
• Grade Level: High School

... ratio" - see below) Note how these simple shapes (i.e. the mollusk- shell,) appear most frequently in nature - snail shells, and even apple-seed stars that form a pentagram, have proportions to Phi. Geometric shapes of these (Golden Ratio) dimensions can also be found in magnificent works of art - and most mathematicians agree, they are magnificent because of their dimensions! Even in the human ... proportioned height! Theories of this sort have just started to come out, (in the 21st century!) and are being used in corrective surgery. Plato (428/427 B.C. - 348/347 B.C.) saw these geomet...

• Word Count: 303
• Approx Pages: 1
• Grade Level: High School

... in music is stating the well-known facts, "13 notes separate each octave of 8 notes in a scale, of which the 5th and 3rd notes create the basic foundation of all chords, and are based on whole tone which is 2 steps from the root tone, that is the 1st note of the scale" (The Golden Number). Not only does the theory of ... ...

• Word Count: 3003
• Approx Pages: 12
• Grade Level: High School