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 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 cube.

Arithmetica, Book VI, Problem 7

To find two numbers such that their sum is a cube and their product is a given number.

Arithmetica, Book VI, Problem 16

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

Arithmetica, Book III, Problem 23

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 square.

Arithmetica, Book VI, Problem 8

To find a rational right-angled triangle such that its area is a given cube.

Arithmetica, Book VI, Problem 18

I have found no personal letters, correspondence, diaries, or private writings of Diophantus of Alexandria. His work, 'Arithmetica,' is his primary legacy.

Historical Research

There is no historical evidence to suggest that Diophantus's personal writings have survived to the present day.

Historical Research

Our understanding of Diophantus comes almost entirely from his mathematical treatise, 'Arithmetica.'

Historical Research

The biographical details of Diophantus's life are scarce, with most information derived from an epigram in the Palatine Anthology.

Historical Research

The epigram provides a riddle about his lifespan, but offers no insight into his personal thoughts or relationships.

Historical Research

Unlike many later mathematicians, Diophantus's personal life remains largely a mystery.

Historical Research

We have no records of letters to friends, family, colleagues, or lovers from Diophantus.

Historical Research

The concept of 'personal letters' as we understand them today was not as widely practiced or preserved in ancient Alexandria for figures like Diophantus.

Historical Research

Any 'quotes' attributed to Diophantus outside of his mathematical work are likely apocryphal or misattributions.

Historical Research

The focus of historical study on Diophantus has always been his groundbreaking contributions to algebra.

Historical Research

It is a common misconception that personal writings of all historical figures are readily available.

Historical Research

The preservation of ancient texts was a selective process, often prioritizing scientific or philosophical treatises.

Historical Research

Therefore, the request for quotes from Diophantus's personal letters cannot be fulfilled with authentic material.

Historical Research

To invent such quotes would be to misrepresent historical fact.

Historical Research

The absence of personal writings does not diminish Diophantus's importance in the history of mathematics.

Historical Research