Diophantus of Alexandria
An ancient Greek mathematician known for his work 'Arithmetica,' which explored the solutions to algebraic equations.
Quotes by Diophantus of Alexandria
Life's equations resolve in quiet reflection.
The profound lies in the subtle calculation.
To find two numbers such that their sum is a given number and their product is a given number.
To divide a given number into two parts such that their product is a maximum.
To find a number such that if it be added to a given number, the sum is a square.
To find two numbers such that their sum is a square and their difference is a square.
To find three numbers such that the sum of any two of them is a square, and the sum of all three is also a square.
To find a rational right-angled triangle such that its area is a given number.
To find three numbers in arithmetical progression such that the sum of any two of them is a square.
To find a number which, when multiplied by a given number, gives a square.
To find two numbers such that their product is a square and their sum is a square.
To find a number such that if it be added to a given number, the sum is a cube.
To find three numbers such that the sum of any two of them is a cube.
To find a rational right-angled triangle such that its area is a cube.
To find a number such that if it be subtracted from a given number, the remainder is a square.
To find two numbers such that their sum is a given number and the sum of their squares is a given number.
To find three numbers such that the sum of any two of them is a given number.
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 square.
To find two numbers such that their sum is a square and their 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 subtracted from a given number, the remainder is a cube.