“Through algebra you easily arrive at equations, but always to pass therefrom to the elegant constructions and demonstrations which usually result by means of the method of porisms is not so easy, nor is one's ingenuity and power of invention so greatly exercised and refined in this analysis.”

— Isaac Newton

The Mathematical Papers of Isaac Newton (edited by Whiteside), Volume 7; Volumes 1691-1695 / pg. 261. http://books.google.com.br/books?id=YDEP1XgmknEC&printsec=frontcover <br class="br">Geometriae (Treatise on Geometry)

Adopted from Wikiquote. Last update Oct. 1, 2023. History

Help us to complete the source, original and additional information

Do you have more details about the quote "Through algebra you easily arrive at equations, but always to pass therefrom to the elegant constructions and demonstra…" by Isaac Newton?

Isaac Newton photo

Isaac Newton171

British physicist and mathematician and founder of modern c… 1643–1727

Related quotes

“Analysis… takes that which is sought as if it were admitted and passes from it through its successive consequences to something which is admitted as the result of synthesis: for in analysis we assume that which is sought as if it were (already) done (ɣϵɣονός) and we inquire what it is from which this results, and again what is the antecedent cause of the latter, and so on, until by so retracing our steps we come upon something already known or belonging to the class of first principles, and such a method we call analysis as being solution backwards”

Pappus of Alexandria (290–350) Greek mathematician of Antiquity

άνάπαλɩν λὐσɩν
The Thirteen Books of Euclid's Elements (1908)

“Few persons can be made to believe that it is not quite an easy thing to invent a method of secret writing which shall baffle investigation. Yet it may be roundly asserted that human ingenuity cannot concoct a cipher which human ingenuity cannot resolve.”

Edgar Allan Poe (1809–1849) American author, poet, editor and literary critic

" A Few Words on Secret Writing http://www.lfchosting.com/eapoe/works/essays/fwsw0741.htm" in Graham's Magazine (July 1841).

“Residues arise … naturally in several branches of analysis …. Their consideration provides simple and easy-to-use methods, which are applicable to a large number of diverse questions, and some new results ….”

Augustin Louis Cauchy (1789–1857) French mathematician (1789–1857)

Sur un nouveau genre de calcul, 1826.

“Mechanics… was an axiomatic construction; and… its problem could be solved quantitatively by algebraic methods.”

Eduard Jan Dijksterhuis (1892–1965) Dutch historian

Robert Jacobus Forbes and E. J. Dijksterhuis (1963) A History of Science and Technology, vol. I: Ancient Times to the Seventeenth Century, Baltimore.

“Our inventions are wont to be pretty toys, which distract our attention from serious things. They are but improved means to an unimproved end, an end which it was already but too easy to arrive at.”

Henry David Thoreau book Walden ou la vie dans les bois

Walden (1854), p. 60-61

“You could never teach other people anything that mattered. The important things they had to learn for themselves, almost always by making mistakes, so that the lessons arrived too late to help. Experience was in that sense useless. It was precisely what could not be passed along in a lesson or an equation.”

Kim Stanley Robinson book Galileo's Dream

Source: Galileo's Dream (2009), Ch. 20, p. 513–514

“Anyone who understands algebraic notation, reads at a glance in an equation results reached arithmetically only with great labour and pains.”

Antoine Augustin Cournot Researches into the Mathematical Principles of the Theory of Wealth

Source: Researches into the Mathematical Principles of the Theory of Wealth, 1897, p. 4; Cited in: Moritz (1914, 197): About mathematics as language

“After having passed through the various phases of plastic creation [the phases of arrangement, composition, and construction] I have arrived at the creation of 'universal forms' through constructing upon an arithmetical basis with the pure elements of painting.”

Theo van Doesburg (1883–1931) Dutch architect, painter, draughtsman and writer

Quote in Van Doesburg's article 'From intuition towards certitude', 1930; as quoted in 'Réalités nouvelles', 1947, no. 1, p. 3
1926 – 1931

“You should keep in mind no names, nor numbers, nor isolated incidents, not even results, but only methods.. The method produces numerous results; a few of these will remain in our memory, and as long as they remain few, they are useful to illustrate and to keep alive the rules which order a thousand results.”

Emanuel Lasker (1868–1941) German World Chess Champion and grandmaster, contract bridge player, mathematician, and philosopher

Source: Lasker's Manual of Chess (1925), p. 338

“As usurpation is the exercise of power which another has a right to, so tyranny is the exercise of power beyond right, which nobody can have a right to…”

John Locke book Two Treatises of Government

Second Treatise of Government, Ch. XVIII, sec. 199
Two Treatises of Government (1689)

Related topics