--- title: "Meaning & Key Takeaway of: Geometry is the art of correct reasoning…" description: "\"Geometry is the art of correct reasoning from incorrectly drawn figures.\" — Henri Poincare" image: "https://sms4smile.com/quotes/i/922/henri-poincare-3339_art_geometry-is-the-art-of-correct-reasoning_2966361.jpg" --- # Geometry is the art of correct reasoning from incorrectly… ![“Geometry is the art of correct reasoning from incorrectly drawn figures.” quote by Henri Poincare](https://sms4smile.com/quotes/i/922/henri-poincare-3339_art_geometry-is-the-art-of-correct-reasoning_2966361.jpg) [Download](https://sms4smile.com/quotes/i/922/henri-poincare-3339_art_geometry-is-the-art-of-correct-reasoning_2966361.jpg) [Open image](https://sms4smile.com/quotes/i/922/henri-poincare-3339_art_geometry-is-the-art-of-correct-reasoning_2966361.jpg) > “Geometry is the art of correct reasoning from incorrectly drawn figures.” [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) ## About This Quote This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation. Reasoning can be correct even when based on flawed representations, highlighting the need for critical analysis. **In simple terms:** Reasoning works despite bad diagrams. Key Takeaway Question assumptions. Themes logic reasoning critical thinking Mood analytical cautious Type academic philosophical When to use this quote - education - problem solving - research Key Concepts mathematics philosophy methodology Questions to Reflect On - How to detect hidden errors? - When is visual aid harmful? A Different Perspective Faulty premises can mislead conclusions. ★ ★ ★ ★ ★ No ratings yet [Art](https://sms4smile.com/quotes/about/art/) [Art Correct](https://sms4smile.com/quotes/about/art-correct-2919972/) [Correct Reasoning](https://sms4smile.com/quotes/about/correct-reasoning-938296/) [Figures](https://sms4smile.com/quotes/about/figures/) [Geometry](https://sms4smile.com/quotes/about/geometry/) [Geometry Art](https://sms4smile.com/quotes/about/geometry-art-4544189/) [Incorrectly Drawn](https://sms4smile.com/quotes/about/incorrectly-drawn-4544190/) [Math](https://sms4smile.com/quotes/about/math/) [Mathematics](https://sms4smile.com/quotes/about/mathematics/) [Reasoning](https://sms4smile.com/quotes/about/reasoning/) ## Related quotes > [Geometry is the science of correct reasoning on incorrect figures.](https://sms4smile.com/quotes/george-polya/geometry-is-the-science-of-correct-reasoning-on-incorrect-figures/) [George Polya](https://sms4smile.com/quotes/author/george-polya/) > [The best road to correct reasoning is by physical science; the way to trace effects to causes is through physical science; the only corrective,…](https://sms4smile.com/quotes/frances-wright/the-best-road-to-correct-reasoning-is-by-physical-science-the-way-to/) [Frances Wright](https://sms4smile.com/quotes/author/frances-wright/) > [All correct reasoning is a grand system of tautologies, but only God can make direct use of that fact.](https://sms4smile.com/quotes/herbert-simon/all-correct-reasoning-is-a-grand-system-of-tautologies-but-only-god/) [Herbert Simon](https://sms4smile.com/quotes/author/herbert-simon/) > [There is one answer that is correct above all reasoning. And the answer is love not fear.](https://sms4smile.com/quotes/jeremy-limn/there-is-one-answer-that-is-correct-above-all-reasoning-and-the/) [Jeremy Limn](https://sms4smile.com/quotes/author/jeremy-limn/) > [I still think, most of the time, when people called shows like 'The Sopranos' or 'Deadwood' 'art' that they were correct.](https://sms4smile.com/quotes/michelle-dean/i-still-think-most-of-the-time-when-people-called-shows-like-the/) [Michelle Dean](https://sms4smile.com/quotes/author/michelle-dean/) > [“... for although people can be made worse off by all other gifts, correct reasoning alone can only be for the good.”](https://sms4smile.com/quotes/gottfried-wilhelm-leibniz/for-although-people-can-be-made-worse-off-by-all-other-gifts-correct/) [Gottfried Wilhelm Leibniz](https://sms4smile.com/quotes/author/gottfried-wilhelm-leibniz/) > [The new painters do not propose, any more than did their predecessors, to be geometers. But it may be said that geometry is to…](https://sms4smile.com/quotes/guillaume-apollinaire/the-new-painters-do-not-propose-any-more-than-did-their-predecessors/) [Guillaume Apollinaire](https://sms4smile.com/quotes/author/guillaume-apollinaire/) > [Geometry is beautifully logical, and it teaches you how to think and prove that things are so, step by step by step. Proofs are…](https://sms4smile.com/quotes/marilyn-vos-savant/geometry-is-beautifully-logical-and-it-teaches-you-how-to-think-and/) [Marilyn vos Savant](https://sms4smile.com/quotes/author/marilyn-vos-savant/) > [I entered an omnibus to go to some place or other. At that moment when I put my foot on the step the idea…](https://sms4smile.com/quotes/henri-poincare/i-entered-an-omnibus-to-go-to-some-place-or-other-at-that-moment-when/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [One geometry cannot be more true than another; it can only be more convenient.](https://sms4smile.com/quotes/henri-poincare/one-geometry-cannot-be-more-true-than-another-it-can-only-be-more-2/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [. . . by natural selection our mind has adapted itself to the conditions of the external world. It has adopted the geometry most…](https://sms4smile.com/quotes/henri-poincare/by-natural-selection-our-mind-has-adapted-itself-to-the-conditions-of/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [Geometry is not true, it is advantageous.](https://sms4smile.com/quotes/henri-poincare/geometry-is-not-true-it-is-advantageous/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [It has adopted the geometry most advantageous to the species or, in other words, the most convenient.](https://sms4smile.com/quotes/henri-poincare/it-has-adopted-the-geometry-most-advantageous-to-the-species-or-in/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [I then began to study arithmetical questions without any great apparent result, and without suspecting that they could have the least connexion with my…](https://sms4smile.com/quotes/henri-poincare/i-then-began-to-study-arithmetical-questions-without-any-great/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [There are no solved problems; there are only problems that are more or less solved.](https://sms4smile.com/quotes/henri-poincare/there-are-no-solved-problems-there-are-only-problems-that-are-more-or/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) ## More by Henri Poincare > [The mathematical facts worthy of being studied are those which, by their analogy with other facts, are capable of leading us to the knowledge…](https://sms4smile.com/quotes/henri-poincare/the-mathematical-facts-worthy-of-being-studied-are-those-which-by/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [. . . by natural selection our mind has adapted itself to the conditions of the external world. It has adopted the geometry most…](https://sms4smile.com/quotes/henri-poincare/by-natural-selection-our-mind-has-adapted-itself-to-the-conditions-of/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [If we knew exactly the laws of nature and the situation of the universe at the initial moment, we could predict exactly the situation…](https://sms4smile.com/quotes/henri-poincare/if-we-knew-exactly-the-laws-of-nature-and-the-situation-of-the/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [Absolute space, that is to say, the mark to which it would be necessary to refer the earth to know whether it really moves,…](https://sms4smile.com/quotes/henri-poincare/absolute-space-that-is-to-say-the-mark-to-which-it-would-be-necessary/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [Science is facts.](https://sms4smile.com/quotes/henri-poincare/science-is-facts/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [Absolute space, that is to say, the mark to which it would be necessary to refer the earth to know whether it really moves,…](https://sms4smile.com/quotes/henri-poincare/absolute-space-that-is-to-say-the-mark-to-which-it-would-be-necessary-2/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [All of mathematics is a tale about groups.](https://sms4smile.com/quotes/henri-poincare/all-of-mathematics-is-a-tale-about-groups/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [A cat is witty, he has nerve, he knows how to do precisely the right thing at the right moment.](https://sms4smile.com/quotes/henri-poincare/a-cat-is-witty-he-has-nerve-he-knows-how-to-do-precisely-the-right/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [In the old days when people invented a new function they had something useful in mind.](https://sms4smile.com/quotes/henri-poincare/in-the-old-days-when-people-invented-a-new-function-they-had/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [Intuition is more important to discovery than logic.](https://sms4smile.com/quotes/henri-poincare/intuition-is-more-important-to-discovery-than-logic/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [Mathematics has a threefold purpose. It must provide an instrument for the study of nature. But this is not all: it has a philosophical…](https://sms4smile.com/quotes/henri-poincare/mathematics-has-a-threefold-purpose-it-must-provide-an-instrument-for/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [Experiment is the sole source of truth.](https://sms4smile.com/quotes/henri-poincare/experiment-is-the-sole-source-of-truth/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [“ Qu'une goutee de vin tombe dans un verre d'eau; quelle que soit la loi du movement interne du liquide, nous verrons bientôt se…](https://sms4smile.com/quotes/henri-poincare/qu-une-goutee-de-vin-tombe-dans-un-verre-d-eau-quelle-que-soit-la-loi/) [Henri Poincaré](https://sms4smile.com/quotes/author/henri-poincare/) > [If that enabled us to predict the succeeding situation with the same approximation, that is all we require, and we should say that the…](https://sms4smile.com/quotes/henri-poincare/if-that-enabled-us-to-predict-the-succeeding-situation-with-the-same/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) > [“ Le savant doit ordonner ; on fait la science avec des faits comme une maison avec des pierres ; mais une accumulation de…](https://sms4smile.com/quotes/henri-poincare/le-savant-doit-ordonner-on-fait-la-science-avec-des-faits-comme-une/) [Henri Poincare](https://sms4smile.com/quotes/author/henri-poincare/) [Explore all 130 Henri Poincare quotes ](https://sms4smile.com/quotes/author/henri-poincare/) ## More Art quotes > [True works of art contain their own theory and give us the measurement according to which we should judge them.](https://sms4smile.com/quotes/johann-wolfgang-von-goethe/true-works-of-art-contain-their-own-theory-and-give-us-the/) [Johann Wolfgang von Goethe](https://sms4smile.com/quotes/author/johann-wolfgang-von-goethe/) > [Before Noah, men having only water to drink, could not find the truth. Accordingly...they became abominably wicked, and they were justly exterminated by the…](https://sms4smile.com/quotes/benjamin-franklin/before-noah-men-having-only-water-to-drink-could-not-find-the-truth/) [Benjamin Franklin](https://sms4smile.com/quotes/author/benjamin-franklin/) > [“Hear the sum of the whole matter in the compass of one brief word — every art possessed by man comes from Prometheus.”](https://sms4smile.com/quotes/aeschylus/hear-the-sum-of-the-whole-matter-in-the-compass-of-one-brief-word/) [Aeschylus](https://sms4smile.com/quotes/author/aeschylus/) > [I think most artists feel like they're outside society - no matter how many accolades they receive, or how much money is in your…](https://sms4smile.com/quotes/aaron-rose/i-think-most-artists-feel-like-they-re-outside-society-no-matter-how/) [Aaron Rose](https://sms4smile.com/quotes/author/aaron-rose/) > [The capacity to be puzzled is the premise of all creation, be it in art or in science.](https://sms4smile.com/quotes/erich-fromm/the-capacity-to-be-puzzled-is-the-premise-of-all-creation-be-it-in/) [Erich Fromm](https://sms4smile.com/quotes/author/erich-fromm/) > [That's the great secret of creativity. You treat ideas like cats: you make them follow you.](https://sms4smile.com/quotes/ray-bradbury/that-s-the-great-secret-of-creativity-you-treat-ideas-like-cats-you/) [Ray Bradbury](https://sms4smile.com/quotes/author/ray-bradbury/) > [“So, really," continued Jacob as if this were perfectly normal to expound on art in these circumstances, "when you think about it, the artists…](https://sms4smile.com/quotes/justina-chen-headley/so-really-continued-jacob-as-if-this-were-perfectly-normal-to-expound/) [Justina Chen Headley](https://sms4smile.com/quotes/author/justina-chen-headley/) > [“There are two options in art; either to adopt philosophical life by dissecting art, or to write your own philosophical life and claim it…](https://sms4smile.com/quotes/taf-teh/there-are-two-options-in-art-either-to-adopt-philosophical-life-by/) [Taf Teh](https://sms4smile.com/quotes/author/taf-teh/) > [The house has to serve comfort. The work of art is revolutionary; the house is conservative.](https://sms4smile.com/quotes/adolf-loos/the-house-has-to-serve-comfort-the-work-of-art-is-revolutionary-the/) [Adolf Loos](https://sms4smile.com/quotes/author/adolf-loos/) > [During human progress, every science is evolved out of its corresponding art.](https://sms4smile.com/quotes/herbert-spencer/during-human-progress-every-science-is-evolved-out-of-its/) [Herbert Spencer](https://sms4smile.com/quotes/author/herbert-spencer/) > [In literature and art memory is a synonym for invention. It is the life-blood of imagination, which faints and dies when the veins are…](https://sms4smile.com/quotes/robert-aris-willmott/in-literature-and-art-memory-is-a-synonym-for-invention-it-is-the/) [Robert Aris Willmott](https://sms4smile.com/quotes/author/robert-aris-willmott/) > [I think a business guy is different from an artist. They walk different paths. Artists create the best outputs when they're having fun. And…](https://sms4smile.com/quotes/g-dragon/i-think-a-business-guy-is-different-from-an-artist-they-walk/) [G-Dragon](https://sms4smile.com/quotes/author/g-dragon/) > [“The only thing--I tell you this straight from the heart--that disgusts me in Salzburg is that one can't have any proper social intercourse with…](https://sms4smile.com/quotes/wolfgang-amadeus-mozart/the-only-thing-i-tell-you-this-straight-from-the-heart-that-disgusts/) [Wolfgang Amadeus Mozart](https://sms4smile.com/quotes/author/wolfgang-amadeus-mozart/) > [The sublime in art is the attempt to express the infinite without finding in the realm of phenomena any object which proves itself fitting…](https://sms4smile.com/quotes/georg-wilhelm-friedrich-hegel/the-sublime-in-art-is-the-attempt-to-express-the-infinite-without/) [Georg Wilhelm Friedrich Hegel](https://sms4smile.com/quotes/author/georg-wilhelm-friedrich-hegel/) > [Art isn't done to decorate apartments, but to wage war against the enemy.](https://sms4smile.com/quotes/pablo-picasso/art-isn-t-done-to-decorate-apartments-but-to-wage-war-against-the/) [Pablo Picasso](https://sms4smile.com/quotes/author/pablo-picasso/) [Browse all 48,643 Art quotes ](https://sms4smile.com/quotes/about/art/) ```json { "@context": "https://schema.org", "@graph": [ { "@type": "Quotation", "text": "Geometry is the art of correct reasoning from incorrectly drawn figures.", "creator": { "@type": "Person", "name": "Henri Poincare" }, "isPartOf": { "@id": "https://sms4smile.com/quotes/#website" }, "url": "https://sms4smile.com/quotes/henri-poincare/geometry-is-the-art-of-correct-reasoning-from-incorrectly-drawn/", "about": { "@type": "Thing", "name": "Art" }, "@id": "https://sms4smile.com/quotes/henri-poincare/geometry-is-the-art-of-correct-reasoning-from-incorrectly-drawn/#quotation", "image": { "@type": "ImageObject", "@id": "https://sms4smile.com/quotes/i/922/henri-poincare-3339_art_geometry-is-the-art-of-correct-reasoning_2966361.jpg", "contentUrl": "https://sms4smile.com/quotes/i/922/henri-poincare-3339_art_geometry-is-the-art-of-correct-reasoning_2966361.jpg", "url": "https://sms4smile.com/quotes/i/922/henri-poincare-3339_art_geometry-is-the-art-of-correct-reasoning_2966361.jpg", "width": 1080, "height": 1080, "caption": "“Geometry is the art of correct reasoning from incorrectly drawn figures.” — Henri Poincare", "creditText": "SMS4Smile Quotes", "creator": { "@id": "https://sms4smile.com/quotes/#organization" } } }, { "@type": "BreadcrumbList", "itemListElement": [ { "@type": "ListItem", "position": 1, "name": "Home", "item": "https://sms4smile.com/" }, { "@type": "ListItem", "position": 2, "name": "Quotes", "item": "https://sms4smile.com/quotes/" }, { "@type": "ListItem", "position": 3, "name": "Henri Poincare", "item": "https://sms4smile.com/quotes/author/henri-poincare/" }, { "@type": "ListItem", "position": 4, "name": "Geometry is the art of correct...", "item": "https://sms4smile.com/quotes/henri-poincare/geometry-is-the-art-of-correct-reasoning-from-incorrectly-drawn/" } ], "@id": "https://sms4smile.com/quotes/henri-poincare/geometry-is-the-art-of-correct-reasoning-from-incorrectly-drawn/#breadcrumb" }, { "@type": "WebSite", "@id": "https://sms4smile.com/quotes/#website", "name": "SMS4Smile Quotes", "url": "https://sms4smile.com/quotes/", "publisher": { "@id": "https://sms4smile.com/quotes/#organization" } }, { "@type": "Organization", "@id": "https://sms4smile.com/quotes/#organization", "name": "SMS4Smile Quotes", "url": "https://sms4smile.com/quotes/", "logo": { "@type": "ImageObject", "url": "https://sms4smile.com/quotes/wp-content/themes/sq/assets/icons/icon-512.png", "width": 512, "height": 512 } } ] } ```