Skip to content
EntityQ2472083· pop 10· linked from 18 articles

Diophantus

Sign in to save

ancient Greek general

Person · Open Library

Works
31

Top works

  • Diophantus geometra, sive Opvs contextvm ex arithmetica et geometria simul
  • Diophanti Alexandrini Arithmeticorvm libri sex
  • Diophanti Alexandrini Arithmeticorum libri sex, et de numeris multangulis liber unus
  • Diophanti Alexandrini Opera Omnia
  • Guilelmi Oughtred Ætonensis ... Opuscula mathematica hactenus inedita

via Open Library + Wikidata

Listeners · Last.fm

Listeners
4
Total plays
8

<a href="https://www.last.fm/music/Diophantus">Read more on Last.fm</a>

via Last.fm · Diophantus

Quotes

  • Perhaps the topic [of this book] will appear fairly difficult to you because it is not yet familiar knowledge and the understanding of beginners is easily confused by mistakes; but with your inspiration and my teaching it will be easy for you to master, because clear intelligence supported by good lessons is a fast route to knowledge.
  • If we arrive at an equation containing on each side the same term but with different coefficients, we must take equals from equals until we get one term equal to another term. But, if there are on one or on both sides negative terms, the deficiencies must be added on both bides until all the terms on both sides are positive. Then we must take equals from equals until one term is left on each side.
  • As a square number is known to be the product of a number multiplied by itself, so every polygonal number, multiplied by one number and added to another, both of which depend upon the number of its angles, produces a square number. I shall prove this, and shall show also how from a given side to find its polygon and conversely. Some auxiliary propositions must first be proved.
  • Diophantos' work is so unique among the Greek treatises which we possess, that he cannot be said to recall the style or subject-matter of any other author, except, indeed, in the fragment on Polygonal Numbers; and even there the reference to Hypsikles is the only indication we can lay hold of.
  • The history of Alexandrian mathematics begins with the Elements of Euclid and closes with the Algebra of Diophantus, both of which are founded on the discoveries of several preceding centuries.
  • The solution of the higher indeterminates depends almost entirely on very favourable numerical conditions and his methods are defective. But the extraordinary ability of Diophantus appears rather in the other department of his art, namely the ingenuity with which he reduces every problem to an equation which he is competent to solve.

via Wikiquote · CC BY-SA

Wikidata facts

Instance of
human
Gender
male
Citizenship
Bosporan Kingdom
Occupation
statesperson
Languages spoken
Ancient Greek
Native language
Ancient Greek
Show 6 more facts
floruit
0107-00-00
date of birth
0150-00-00
name in native language
Διόφαντος
birth name
Διόφαντος
described by source
Pauly–Wissowa
Sources (2)

via Wikidata · CC0

Available in 10 languages

via Wikidata sitelinks · CC0