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 any two of them is a square, and the product of any two of them is a square.

Arithmetica, Book III, Problem 24

To find a number such that if we subtract it from a given number, the remainder is a square, and if we add it to another given number, the sum is a square.

Arithmetica, Book II, Problem 14

To find a number such that if we subtract it from a given number, the remainder is a square, and if we multiply it by another given number, the product is a square.

Arithmetica, Book II, Problem 15

To find a number such that if we subtract it from a given number, the remainder is a square, and if we divide it by another given number, the quotient is a square.

Arithmetica, Book II, Problem 16

To find a number such that if we multiply it by a given number, the product is a square, and if we add it to another given number, the sum is a square.

Arithmetica, Book II, Problem 17

To find a number such that if we multiply it by a given number, the product is a square, and if we subtract it from another given number, the remainder is a square.

Arithmetica, Book II, Problem 18

To find a number such that if we multiply it by a given number, the product is a square, and if we divide it by another given number, the quotient is a square.

Arithmetica, Book II, Problem 19

To find a number such that if we divide it by a given number, the quotient is a square, and if we add it to another given number, the sum is a square.

Arithmetica, Book II, Problem 20

To find a number such that if we add it to a given number, the sum is a square, and when it is subtracted from another given number, the remainder is a square.

Arithmetica, Book II, Problem 10

To find a number such that if we divide it by a given number, the quotient is a square, and if we subtract it from another given number, the remainder is a square.

Arithmetica, Book II, Problem 21

To find a number such that if we divide it by a given number, the quotient is a square, and if we multiply it by another given number, the product is a square.

Arithmetica, Book II, Problem 22

God created numbers as an aid to the human mind.

Arithmetica 250

In numbers, we find the harmony of the universe.

Arithmetica 260

The solution to the indeterminate lies in the determinate.

Arithmetica 250

Mathematics is the language of truth unspoken.

Personal reflection 270

Every equation holds a secret waiting to be unveiled.

Arithmetica 255

Numbers dance in patterns unseen by the untrained eye.

Arithmetica 260

The beauty of a proof is in its elegance and brevity.

Arithmetica 250

Life is an equation with infinite solutions.

Personal reflection 280

Through arithmetic, we touch the divine.

Arithmetica 265