Diophantus Number Of Rational Numbers
Diophantus was a Greek mathematician that lived in Alexandria in the 3rd Century. His estimated birth and passing years are said to be from 150 B.C. to 350 A.D. Although there is not enough information about his life, there is a riddle that estimates how long he lived. The mathematic puzzle is known as ‘Diophantus Riddle’. The riddle states he married while he was 33, then he had a son who lived for 42 years and the total years Diophantus lived according to the riddle was a total of 84 years. Through his advancements in mathematical notations and having brought symbolism to algebra, Diophantus earned the name “the father of algebra”.
Even though Diophantus life was very private, his major achievement in which he was mostly known was his “Arithmetica”. …show more content…
In addition, stating that the square of rational numbers if being positive will be a square number. Book II explains how to basically represent in three simple methods. The methods are that if the square number is present whenever the squares of two rational numbers are being added; the addition of two new squares is the same thing as if adding two well-known squares; and if the rational number is given will be equal to their difference. The first and the third problem basically state that when adding two squares it won’t always equal a rational number. Book III as well II, teach the general method that infinite solutions do exist. While on books IV all the way to IX Diophantus states that the problems with degrees that are high, can be as a matter of fact, reduced into binomial equations. The purpose basically being that of bringing experience to the reader. For example, breaking down an integer that is given when adding more than two squares that are neighbors. On the contrary, book X deals mostly with rational sides in triangles that have a right side. Furthermore, the missing books contain content that deals with binomial equations in which Diophantus stated he will later treat the case of trinomial equations. Which of course is no longer
Even though Diophantus life was very private, his major achievement in which he was mostly known was his “Arithmetica”. …show more content…
In addition, stating that the square of rational numbers if being positive will be a square number. Book II explains how to basically represent in three simple methods. The methods are that if the square number is present whenever the squares of two rational numbers are being added; the addition of two new squares is the same thing as if adding two well-known squares; and if the rational number is given will be equal to their difference. The first and the third problem basically state that when adding two squares it won’t always equal a rational number. Book III as well II, teach the general method that infinite solutions do exist. While on books IV all the way to IX Diophantus states that the problems with degrees that are high, can be as a matter of fact, reduced into binomial equations. The purpose basically being that of bringing experience to the reader. For example, breaking down an integer that is given when adding more than two squares that are neighbors. On the contrary, book X deals mostly with rational sides in triangles that have a right side. Furthermore, the missing books contain content that deals with binomial equations in which Diophantus stated he will later treat the case of trinomial equations. Which of course is no longer