--- title: "Meaning & Key Takeaway of: Euclid 's manner of exposition…" description: "\"Euclid 's manner of exposition, progressing relentlessly from the data to the unknown and from the hypothesis to the conclusion, is perfect for checkin..." image: "https://sms4smile.com/quotes/i/4d2/george-polya-10766_argument_euclid-s-manner-of-exposition-progressin_2383133.jpg" --- # Euclid 's manner of exposition, progressing relentlessly… ![“Euclid 's manner of exposition, progressing relentlessly from the data to the unknown and from the hypothesis to the conclusion, is perfect for checking the argument in detail but far from being perfect for making understandable the main line of the argument.” quote by George Polya](https://sms4smile.com/quotes/i/4d2/george-polya-10766_argument_euclid-s-manner-of-exposition-progressin_2383133.jpg) [Download](https://sms4smile.com/quotes/i/4d2/george-polya-10766_argument_euclid-s-manner-of-exposition-progressin_2383133.jpg) [Open image](https://sms4smile.com/quotes/i/4d2/george-polya-10766_argument_euclid-s-manner-of-exposition-progressin_2383133.jpg) > “Euclid 's manner of exposition, progressing relentlessly from the data to the unknown and from the hypothesis to the conclusion, is perfect for checking the argument in detail but far from being perfect for making understandable the main line of the argument.” [George Polya](https://sms4smile.com/quotes/author/george-polya/) ## About This Quote This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation. The exposition style moves step‑by‑step from known facts to conclusions, which is rigorous but can obscure the overall argument. **In simple terms:** Detailed steps are rigorous but may hide the big picture. Key Takeaway Balance detail with clear overview. Themes methodology clarity logic Mood analytical reflective Type educational explanatory When to use this quote - Teaching mathematics - writing proofs - presenting research - learning complex topics Key Concepts Pedagogy expository technique Questions to Reflect On - How can you summarize the main point without losing rigor? - When is a high‑level overview more helpful than stepwise detail? A Different Perspective Over‑emphasis on detail can overwhelm readers. ★ ★ ★ ★ ★ No ratings yet [Argument](https://sms4smile.com/quotes/about/argument/) [Conclusion](https://sms4smile.com/quotes/about/conclusion/) [Data](https://sms4smile.com/quotes/about/data/) [Euclid](https://sms4smile.com/quotes/about/euclid/) [Mathematics](https://sms4smile.com/quotes/about/mathematics/) [Progress](https://sms4smile.com/quotes/about/progress/) ## Related quotes > [Mathematics has two faces: it is the rigorous science of Euclid, but it is also something else. 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'When you're writing lines...you need to focus on the way people actually talk. And when we…](https://sms4smile.com/quotes/jincy-willett/d-ialogue-is-generally-the-worst-choice-for-exposition-when-you-re/) [Jincy Willett](https://sms4smile.com/quotes/author/jincy-willett/) > [“The first morning I really sat and watched him it was a Tuesday. I know that because Tuesday is trash day for our neighborhood.…](https://sms4smile.com/quotes/benjamin-r-smith/the-first-morning-i-really-sat-and-watched-him-it-was-a-tuesday-i/) [Benjamin R. Smith](https://sms4smile.com/quotes/author/benjamin-r-smith/) > [“No language about God will ever be fully adequate to the burning mystery which it signifies.”](https://sms4smile.com/quotes/elizabeth-johnston/no-language-about-god-will-ever-be-fully-adequate-to-the-burning/) Elizabeth Johnston > [Exposition suggests a great trust in the reader, and this expression of trust makes a book feel tender.](https://sms4smile.com/quotes/akhil-sharma/exposition-suggests-a-great-trust-in-the-reader-and-this-expression/) [Akhil Sharma](https://sms4smile.com/quotes/author/akhil-sharma/) > [Mathematicians themselves set up standards of generality and elegance in their exposition which are a bar to understand.](https://sms4smile.com/quotes/kenneth-e-boulding/mathematicians-themselves-set-up-standards-of-generality-and-elegance/) [Kenneth E. 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Exposition we may illustrate as "John Fortescue was a solicitor in…](https://sms4smile.com/quotes/frank-o-connor/there-are-three-necessary-elements-in-a-story-exposition-development/) [Frank O'Connor](https://sms4smile.com/quotes/author/frank-o-connor/) > [“Exposition, after all, is telling and drama is showing.”](https://sms4smile.com/quotes/john-yorke/exposition-after-all-is-telling-and-drama-is-showing/) [John Yorke](https://sms4smile.com/quotes/author/john-yorke/) > [I'm an enemy of exposition. I feel there's no need to overstate.](https://sms4smile.com/quotes/anson-mount/i-m-an-enemy-of-exposition-i-feel-there-s-no-need-to-overstate/) [Anson Mount](https://sms4smile.com/quotes/author/anson-mount/) > [“My sermon on the meaning of the manna in the wilderness can be adapted to almost any occasion, joyful, or, as in the present…](https://sms4smile.com/quotes/oscar-wilde/my-sermon-on-the-meaning-of-the-manna-in-the-wilderness-can-be/) [Oscar Wilde](https://sms4smile.com/quotes/author/oscar-wilde/) ## More by George Polya > [Pedantry and mastery are opposite attitudes toward rules. 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Mathematics is in between.](https://sms4smile.com/quotes/george-polya/i-am-too-good-for-philosophy-and-not-good-enough-for-physics/) [George Polya](https://sms4smile.com/quotes/author/george-polya/) > [Solving problems is a practical art, like swimming, or skiing, or playing the piano: you can learn it only by imitation and practice.](https://sms4smile.com/quotes/george-polya/solving-problems-is-a-practical-art-like-swimming-or-skiing-or/) [George Polya](https://sms4smile.com/quotes/author/george-polya/) > [An idea which can be used only once is a trick. 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