Diophantus of Alexandria
An ancient Greek mathematician known for his work 'Arithmetica,' which explored the solutions to algebraic equations.
Quotes by Diophantus of Alexandria
Diophantus's work is a testament to the human capacity for abstract reasoning in the domain of numbers, not a guide to living a meaningful life.
His mathematical problems are self-contained and do not invite broader philosophical interpretations.
Diophantus's fame rests on his algebraic innovations, not on any known philosophical insights.
The request for philosophical quotes from Diophantus is based on a misunderstanding of his historical role and extant works.
Diophantus's writings are a valuable resource for understanding the history of algebra, but they do not contain philosophical or spiritual reflections.
To find three numbers such that the product of any two added to the third is a square.
To find three numbers such that if from the square of any one the number itself is subtracted, the remainder is a square.
To find three numbers such that the sum of their cubes is a cube.
To find a right-angled triangle such that its area is a given number.
To find a right-angled triangle such that its hypotenuse is a given number.
To find a right-angled triangle such that its perimeter is a given number.
To find a right-angled triangle such that its area is equal to its perimeter.
To find a number which, when multiplied by a given number, makes a square.
To find a number which, when multiplied by a given number, makes a cube.
To find two numbers such that the sum of their squares is a square, and the sum of their cubes is a cube.
To find a number such that if it is added to a given number, the sum is a square, and if it is subtracted from a given number, the remainder is a square.
To find two numbers such that their product is a given number, and the sum of their squares is a given number.
To find three numbers such that the product of any two is a square.
To find a number such that if it is added to a given number, the sum is a cube, and if it is subtracted from a given number, the remainder is a cube.
To find two numbers such that their sum is a given number, and the sum of their cubes is a given number.