Diofanés citáty
Diofanés
Diofantos z Alexandrie byl starověký řecký matematik působící ve 3. století n. l. v egyptské Alexandrii. Je prvním matematikem, který řešil ryze algebraické problémy a zavedl pro ně promyšlený systém značek. Z jeho nejdůležitějšího díla, Aritmetiky ve 13 knihách, je do dnešní doby zachována přibližně polovina. Podle něj jsou pojmenovány diofantické rovnice, které studoval.
Je po něm pojmenován kráter Diophantus na přivrácené straně Měsíce.
Citáty Diofanés
„If we arrive at an equation containing on each side the same term but with different coefficients, we must take equals from equals until we get one term equal to another term. But, if there are on one or on both sides negative terms, the deficiencies must be added on both bides until all the terms on both sides are positive. Then we must take equals from equals until one term is left on each side.“
— Diophantus, Arithmetica
As quoted by Thomas Little Heath, Diophantos of Alexandria: https://books.google.com/books?id=ABkPAAAAIAAJ A Study in the History of Greek Algebra (1885)
Arithmetica (c. 250 AD)
„Perhaps the topic [of this book] will appear fairly difficult to you because it is not yet familiar knowledge and the understanding of beginners is easily confused by mistakes; but with your inspiration and my teaching it will be easy for you to master, because clear intelligence supported by good lessons is a fast route to knowledge.“
— Diophantus, Arithmetica
Following the dedication to Dionysus as quoted by Paul Drijvers, Secondary Algebra Education (2011)
Arithmetica (c. 250 AD)
„As a square number is known to be the product of a number multiplied by itself, so every polygonal number, multiplied by one number and added to another, both of which depend upon the number of its angles, produces a square number. I shall prove this, and shall show also how from a given side to find its polygon and conversely. Some auxiliary propositions must first be proved.“
— Diophantus, Arithmetica
As quoted by James Gow, A Short History of Greek Mathematics https://books.google.com/books?id=9d8DAAAAMAAJ (1884)
Arithmetica (c. 250 AD)
