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 rational right-angled triangle such that its hypotenuse is a given number.
To find two numbers such that their sum is a square and the sum of their squares is a square.
To find a number such that if it be added to a given number, the sum is a square, and if it be multiplied by a given number, the product is a square.
To find a number such that if it be added to a given number, the sum is a cube, and if it be multiplied by a given number, the product is a cube.
To find two numbers such that their sum is a cube and their product is a cube.
To find a rational right-angled triangle such that its perimeter is a given number.
To find two numbers such that their sum is a given number and the sum of their cubes is a given number.
To find three numbers such that the sum of any two of them is a cube, and the sum of all three is also a cube.
To find a number such that if it be added to a given number, the sum is a square, and if it be divided by a given number, the quotient is a square.
To find two numbers such that their sum is a square and their difference is a given number.
To find a number such that if it be added to a given number, the sum is a cube, and if it be divided by a given number, the quotient is a cube.
To find three numbers such that the sum of their squares is a square, and the sum of their cubes is a cube.
To find a rational right-angled triangle such that its area is a square.
To find two numbers such that their sum is a cube and their difference is a cube.
To find a number such that if it be added to a given number, the sum is a square, and if it be subtracted from a given number, the remainder is a cube.
To find three numbers such that the sum of any two of them is a square, and the product of all three is a square.
To find a number such that if it be added to a given number, the sum is a cube, and if it be subtracted from a given number, the remainder is a square.
To find two numbers such that their sum is a square and their product is a given number.
To find three numbers such that the sum of any two of them is a cube, and the product of any two of them is a cube.
To find a rational right-angled triangle such that its area is a given square.