“As long as algebra and geometry proceeded along separate paths, their advance was slow and their applications limited. But when these sciences joined company, they drew from each other fresh vitality and thenceforward marched on at a rapid pace toward perfection.”

Dans Les Leçons Élémentaires sur les Mathématiques (1795) Leçon cinquiéme,Tr. McCormack, cited in Robert Edouard Moritz, Memorabilia mathematica or, The philomath's quotation-book (1914) Ch. V The teaching of mathematics, p. 81. https://archive.org/stream/memorabiliamathe00moriiala#page/80/mode/2up

Adopted from Wikiquote. Last update June 3, 2021. History

Help us to complete the source, original and additional information

Do you have more details about the quote "As long as algebra and geometry proceeded along separate paths, their advance was slow and their applications limited. …" by Joseph Louis Lagrange?
Joseph Louis Lagrange photo
Joseph Louis Lagrange 6
Italian mathematician and mathematical physicist 1736–1813

Related quotes

Augustus De Morgan photo
John Stuart Mill photo

“[T]he application of algebra to geometry… far more than any of his metaphysical speculations, has immortalized the name of Descartes, and constitutes the greatest single step ever made in the progress of the exact sciences.”

John Stuart Mill (1806–1873) British philosopher and political economist

An Examination of Sir William Hamilton's Philosophy (1865) as quoted in 5th ed. (1878) p. 617. https://books.google.com/books?id=ojQNAQAAMAAJ&pg=PA617

Alexis De Tocqueville photo
Simon Sinek photo

“The opportunity is not to discover the perfect company for ourselves. The opportunity is to build the perfect company for each other.”

Simon Sinek (1973) British/American author and motivational speaker

Source: Find Your Why: A Practical Guide for Discovering Purpose for You and Your Team

Vladimir Lenin photo
Simone de Beauvoir photo
Nicholas Roerich photo
Helena Roerich photo
Felix Adler photo

“The moral improvement of the nations and their individual components has not kept pace with the march of intellect and the advance of industry.”

Felix Adler (1851–1933) German American professor of political and social ethics, rationalist, and lecturer

Founding Address (1876)
Context: The moral improvement of the nations and their individual components has not kept pace with the march of intellect and the advance of industry. Before the assaults of criticism many ancient strongholds of faith have given way, and doubt is fast spreading even into circles where its expression is forbidden. Morality, long accustomed to the watchful tutelage of faith, finds this connection loosened or severed, while no new protector has arisen to champion her rights, no new instruments been created to enforce her lessons among the people. As a consequence we behold a general laxness in regard to obligations the most sacred and dear. An anxious unrest, a fierce craving desire for gain has taken possession of the commercial world, and in instances no longer rare the most precious and permanent goods of human life have been madly sacrificed in the interests of momentary enrichment.

Sarada Devi photo

“An unmarried person is half free whether he prays to God or not. He will advance towards Him with rapid strides when he feel a little drawn towards Him.”

Sarada Devi (1853–1920) Hindu religious figure, spiritual consort of Ramakrishna

Women Saints of East and West

Related topics