Diophantus of Alexandria
An ancient Greek mathematician known for his work 'Arithmetica,' which explored the solutions to algebraic equations.
Quotes by Diophantus of Alexandria
To find a number such that if it is added to a given number, the sum is a square, and if it is multiplied by a given number, the product is a square.
To find two numbers such that their sum is a given number, and the product of their squares is a given number.
To find a number such that if it is added to a given number, the sum is a cube, and if it is multiplied by a given number, the product is a cube.
To find two numbers such that their sum is a given number, and the product of their cubes is a given number.
To find three numbers such that the sum of their squares is a square, and the product of their squares is a square.
To find a number such that if it is added to a given number, the sum is a square, and if it is divided by a given number, the quotient is a square.
To find two numbers such that their sum is a given number, and the sum of their reciprocals is a given number.
To find three numbers such that the product of any two added to the third is a square, and the sum of their reciprocals 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 divided by a given number, the quotient is a cube.
To find two numbers such that their product is a given number, and the sum of their reciprocals is a given number.
To find three numbers such that the sum of their squares is a square, and the sum of their reciprocals is a square.
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 cube.
To find two numbers such that their sum is a given number, and the difference of their squares is a given number.
To find three numbers such that the product of any two added to the third is a square, and the difference 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 square.
To find two numbers such that their product is a given number, and the difference of their squares is a given number.
To find three numbers such that the sum of their squares is a square, and the difference of any two is a square.
To find a number such that if it is added to a given number, the sum is a square, and if it is multiplied by a given number, the product is a cube.
To find two numbers such that their sum is a given number, and the difference of their cubes is a given number.
To find a number such that if it is added to a given number, the sum is a cube, and if it is multiplied by a given number, the product is a square.