Irrational number number to ratios of continuous magnitude. In his commentary on Book 10 of the "Elements", the Persian mathematician Al-Mahani (d. 874/884) examined and classified quadratic irrationals and cubic irrationals. He provided definitions for rational and irrational magnitudes, which he treated as irrational numbers. He dealt with them freely but explains them in geometric terms as follows: In contrast to Euclid's concept of magnitudes as lines, Al-Mahani considered integers and fractions as rational magnitudes, and square roots and cube roots as irrational magnitudes. He also introduced an arithmetical approach to the concept of irrationality, as he attributes the following to irrational
The Story of the Youth Who Went Forth to Learn What Fear Was the tale in the first season, second episode as "Fearnot". Shelley Duvall's TV show "Faerie Tale Theatre" adapted it as "The Boy Who Left Home to Find Out About the Shivers" The episodic games of "American McGee's Grimm" on Gametap debuted with "A Boy Learns What Fear Is" on July 31, 2008. The MC Frontalot song "Shudders", from his album "Question Bedtime", is based on this story. The title is often varied for example by the band Wir sind Helden in their song "Zieh dir was an: Du hast dich ausgezogen, uns das Fürchten zu lehren..."(translated "Dress yourself, you have