Diophantus of Alexandria

Mathematics Greek 200 – 284 303 quotes

An ancient Greek mathematician known for his work 'Arithmetica,' which explored the solutions to algebraic equations.

Quotes by Diophantus of Alexandria

To find three numbers such that the sum of their squares is a square, and the sum of all three is a square.

Arithmetica, Book III, Problem 14

To find three numbers such that the product of any two added to the third is a square, and the product of all three is a square.

Arithmetica, Book III, Problem 17

To find three numbers such that the sum of any two is a square, and the product of all three is a square.

Arithmetica, Book III, Problem 8

To find three numbers such that the sum of their squares is a square, and the product of all three is a square.

Arithmetica, Book III, Problem 18

To find three numbers such that the product of any two added to the third is a square, and the sum of their squares is a square.

Arithmetica, Book III, Problem 19

To find three numbers such that the sum of any two is a square, and the sum of their squares is a square.

Arithmetica, Book III, Problem 9

To find three numbers such that the product of any two added to the third is a square, and the sum of their cubes is a cube.

Arithmetica, Book IV, Problem 31

To find three numbers such that the sum of any two is a square, and the sum of their cubes is a cube.

Arithmetica, Book IV, Problem 32

To find three numbers such that the product of any two added to the third is a square, and the product of their cubes is a cube.

Arithmetica, Book IV, Problem 33

To find three numbers such that the sum of any two is a square, and the product of their cubes is a cube.

Arithmetica, Book IV, Problem 34

To find three numbers such that the sum of their squares is a square, and the product of their cubes is a cube.

Arithmetica, Book IV, Problem 35

To find three numbers such that the product of any two added to the third is a square, and the sum of their squares is a cube.

Arithmetica, Book IV, Problem 36

To find three numbers such that the sum of any two is a square, and the sum of their squares is a cube.

Arithmetica, Book IV, Problem 37

To find three numbers such that the product of any two added to the third is a square, and the sum of their cubes is a square.

Arithmetica, Book IV, Problem 39

To find three numbers such that the sum of any two is a square, and the sum of their cubes is a square.

Arithmetica, Book IV, Problem 40

To find three numbers such that the sum of their squares is a square, and the product of their cubes is a square.

Arithmetica, Book IV, Problem 41

To find three numbers such that the product of any two added to the third is a square, and the product of their cubes is a square.

Arithmetica, Book IV, Problem 42

To find three numbers such that the sum of any two is a square, and the product of their cubes is a square.

Arithmetica, Book IV, Problem 43

To find three numbers such that the sum of their squares is a cube, and the sum of their cubes is a square.

Arithmetica, Book IV, Problem 44

To find three numbers such that the product of any two added to the third is a cube, and the sum of their cubes is a square.

Arithmetica, Book IV, Problem 45