--- title: "Meaning & Key Takeaway of: This Excellent Mathematician having given…" description: "\"This Excellent Mathematician having given us, in the Transactions of February last, an account of the cause, which induced him to think upon Reflecting..." image: "https://sms4smile.com/quotes/i/2a8/isaac-newton-1226_accounts_this-excellent-mathematician-having-give_409201.jpg" --- # This Excellent Mathematician having given us, in the… ![“This Excellent Mathematician having given us, in the Transactions of February last, an account of the cause, which induced him to think upon Reflecting Telescopes, instead of Refracting ones, hath thereupon presented the curious world with an Essay of what may be performed by such Telescopes; by…” quote by Isaac Newton](https://sms4smile.com/quotes/i/2a8/isaac-newton-1226_accounts_this-excellent-mathematician-having-give_409201.jpg) [Download](https://sms4smile.com/quotes/i/2a8/isaac-newton-1226_accounts_this-excellent-mathematician-having-give_409201.jpg) [Open image](https://sms4smile.com/quotes/i/2a8/isaac-newton-1226_accounts_this-excellent-mathematician-having-give_409201.jpg) > “This Excellent Mathematician having given us, in the Transactions of February last, an account of the cause, which induced him to think upon Reflecting Telescopes, instead of Refracting ones, hath thereupon presented the curious world with an Essay of what may be performed by such Telescopes; by which it is found, that Telescopical Tubes may be considerably shortened without prejudice to their magnifiying effect. On his invention of the catadioptrical telescope, as he communicated to the Royal Society.” [Isaac Newton](https://sms4smile.com/quotes/author/isaac-newton/) ## About This Quote This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation. Newton describes a design for reflecting telescopes that can be made shorter without losing magnifying power, highlighting innovation in optical engineering. **In simple terms:** Shorter reflecting telescopes work as well as longer ones. Key Takeaway Consider redesigning tools for efficiency. Themes science innovation optics Mood curious analytical Type technical historical When to use this quote - astronomy research - telescope manufacturing - educational demos - museum exhibits Key Concepts reflecting telescopes catadioptric design optical engineering Questions to Reflect On - How can we balance size reduction with precision? - What other instruments could benefit from similar redesigns? A Different Perspective Shorter designs may introduce alignment challenges. ★ ★ ★ ★ ★ No ratings yet [Accounts](https://sms4smile.com/quotes/about/accounts/) [Catadioptrical Telescope](https://sms4smile.com/quotes/about/catadioptrical-telescope-3652087/) [Causes](https://sms4smile.com/quotes/about/causes/) [Curious](https://sms4smile.com/quotes/about/curious/) [Effects](https://sms4smile.com/quotes/about/effects/) [Essays](https://sms4smile.com/quotes/about/essays/) [Excellent](https://sms4smile.com/quotes/about/excellent/) [February](https://sms4smile.com/quotes/about/february/) [Found](https://sms4smile.com/quotes/about/found/) [Given](https://sms4smile.com/quotes/about/given/) [Invention](https://sms4smile.com/quotes/about/invention/) [Invention Catadioptrical](https://sms4smile.com/quotes/about/invention-catadioptrical-3652085/) [Lasts](https://sms4smile.com/quotes/about/lasts/) [Mathematician](https://sms4smile.com/quotes/about/mathematician/) [May](https://sms4smile.com/quotes/about/may/) [Performed Telescopes](https://sms4smile.com/quotes/about/performed-telescopes-3652088/) [Prejudice](https://sms4smile.com/quotes/about/prejudice/) [Reflecting](https://sms4smile.com/quotes/about/reflecting/) [Reflecting Telescopes](https://sms4smile.com/quotes/about/reflecting-telescopes-3652086/) [Royal](https://sms4smile.com/quotes/about/royal/) [Science](https://sms4smile.com/quotes/about/science/) [Telescopes](https://sms4smile.com/quotes/about/telescopes/) [Telescopes Telescopical](https://sms4smile.com/quotes/about/telescopes-telescopical-3652084/) [Thinking](https://sms4smile.com/quotes/about/thinking/) [Transactions](https://sms4smile.com/quotes/about/transactions/) [Tubes](https://sms4smile.com/quotes/about/tubes/) [World](https://sms4smile.com/quotes/about/world/) ## Related quotes > [The great ocean of truth lay all undiscovered before me.](https://sms4smile.com/quotes/isaac-newton/the-great-ocean-of-truth-lay-all-undiscovered-before-me/) [Isaac Newton](https://sms4smile.com/quotes/author/isaac-newton/) > [Our eyes see very little and very badly – so people dreamed up the microscope to let them see invisible phenomena; they invented the…](https://sms4smile.com/quotes/dziga-vertov/our-eyes-see-very-little-and-very-badly-so-people-dreamed-up-the/) [Dziga Vertov](https://sms4smile.com/quotes/author/dziga-vertov/) > [It happens to be one of those days when I see everybody in the family, including myself, through the wrong end of a telescope.](https://sms4smile.com/quotes/anonymous/it-happens-to-be-one-of-those-days-when-i-see-everybody-in-the-family/) [Anonymous](https://sms4smile.com/quotes/author/anonymous/) > [Astronomy may be revolutionized more than any other field of science by observations from above the atmosphere. Study of the planets, the Sun, the…](https://sms4smile.com/quotes/lyman-spitzer/astronomy-may-be-revolutionized-more-than-any-other-field-of-science/) [Lyman Spitzer](https://sms4smile.com/quotes/author/lyman-spitzer/) > [We debase the richness of both nature and our own minds if we view the great pageant of our intellectual history as a compendium…](https://sms4smile.com/quotes/stephen-jay-gould/we-debase-the-richness-of-both-nature-and-our-own-minds-if-we-view/) [Stephen Jay Gould](https://sms4smile.com/quotes/author/stephen-jay-gould/) > [Computer science is no more about computers than astronomy is about telescopes.](https://sms4smile.com/quotes/edsger-dijkstra/computer-science-is-no-more-about-computers-than-astronomy-is-about/) [Edsger Dijkstra](https://sms4smile.com/quotes/author/edsger-dijkstra/) > [Those who pretend to investigate the transcendental truths of the Being based on pure reasoning fall in the same mistake as someone who, ignoring…](https://sms4smile.com/quotes/samael-aun-weor/those-who-pretend-to-investigate-the-transcendental-truths-of-the/) [Samael Aun Weor](https://sms4smile.com/quotes/author/samael-aun-weor/) > [There are many ways in which people are made aware of their power to believe in the supremacy of Divine guidance and power: through…](https://sms4smile.com/quotes/ernst-boris-chain/there-are-many-ways-in-which-people-are-made-aware-of-their-power-to/) [Ernst Boris Chain](https://sms4smile.com/quotes/author/ernst-boris-chain/) > [Rather than feeling lost and unimportant and meaningless, set against galaxies which go beyond the reach of the furthest telescopes, I feel that my…](https://sms4smile.com/quotes/madeleine-l-engle/rather-than-feeling-lost-and-unimportant-and-meaningless-set-against/) [Madeleine L'Engle](https://sms4smile.com/quotes/author/madeleine-l-engle/) > [Whoever it was who searched the heavens with a telescope and found no God would not have found the human mind if he had…](https://sms4smile.com/quotes/george-santayana/whoever-it-was-who-searched-the-heavens-with-a-telescope-and-found-no/) [George Santayana](https://sms4smile.com/quotes/author/george-santayana/) > [Now, almost one hundred years later, it is difficult to fully appreciate how much our picture of the universe has changed in the span…](https://sms4smile.com/quotes/lawrence-m-krauss/now-almost-one-hundred-years-later-it-is-difficult-to-fully/) [Lawrence M. Krauss](https://sms4smile.com/quotes/author/lawrence-m-krauss/) > [Culture implies all which gives the mind possession of its own powers, as languages to the critic, telescope to the astronomer. Culture alters the…](https://sms4smile.com/quotes/ralph-waldo-emerson/culture-implies-all-which-gives-the-mind-possession-of-its-own-powers/) [Ralph Waldo Emerson](https://sms4smile.com/quotes/author/ralph-waldo-emerson/) > [The hardware and the software used in the Breakthrough project will be compatible with other telescopes around the world, so they too can search…](https://sms4smile.com/quotes/yuri-milner/the-hardware-and-the-software-used-in-the-breakthrough-project-will/) [Yuri Milner](https://sms4smile.com/quotes/author/yuri-milner/) > [The Next Generation Space Telescope, which will be located much further away from the Earth than the Hubble Space Telescope presently is, will also…](https://sms4smile.com/quotes/claude-nicollier/the-next-generation-space-telescope-which-will-be-located-much/) [Claude Nicollier](https://sms4smile.com/quotes/author/claude-nicollier/) > [Astronomers have built telescopes which can show myriads of stars unseen before; but when a man looks through a tear in his own eye,…](https://sms4smile.com/quotes/henry-ward-beecher/astronomers-have-built-telescopes-which-can-show-myriads-of-stars/) [Henry Ward Beecher](https://sms4smile.com/quotes/author/henry-ward-beecher/) ## More by Isaac Newton > [The same law takes place in a system, consisting of many bodies, as in one single body, with regard to their persevering in their…](https://sms4smile.com/quotes/isaac-newton/the-same-law-takes-place-in-a-system-consisting-of-many-bodies-as-in/) [Isaac Newton](https://sms4smile.com/quotes/author/isaac-newton/) > [I have been much amused at ye singular phenomena resulting from bringing of a needle into contact with a piece of amber or resin…](https://sms4smile.com/quotes/isaac-newton/i-have-been-much-amused-at-ye-singular-phenomena-resulting-from/) [Isaac Newton](https://sms4smile.com/quotes/author/isaac-newton/) > [No great discovery was ever made without a bold guess.](https://sms4smile.com/quotes/isaac-newton/no-great-discovery-was-ever-made-without-a-bold-guess/) [Isaac Newton](https://sms4smile.com/quotes/author/isaac-newton/) > [I keep the subject of my inquiry constantly before me, and wait till the first dawning opens gradually, by little and little, into a…](https://sms4smile.com/quotes/isaac-newton/i-keep-the-subject-of-my-inquiry-constantly-before-me-and-wait-till/) [Isaac Newton](https://sms4smile.com/quotes/author/isaac-newton/) > [Philosophy is such an impertinently litigious lady that a man had as good be engaged in lawsuits as have to do with her.](https://sms4smile.com/quotes/isaac-newton/philosophy-is-such-an-impertinently-litigious-lady-that-a-man-had-as/) [Isaac Newton](https://sms4smile.com/quotes/author/isaac-newton/) > [Do not Bodies act upon Light at a distance, and by their action bend its Rays; and is not this action (caeteris paribus) \[all…](https://sms4smile.com/quotes/isaac-newton/do-not-bodies-act-upon-light-at-a-distance-and-by-their-action-bend/) [Isaac Newton](https://sms4smile.com/quotes/author/isaac-newton/) > [God in the beginning formed matter in solid, massy, hard, impenetrable, movable particles, of such sizes and figures, and with such other properties, and…](https://sms4smile.com/quotes/isaac-newton/god-in-the-beginning-formed-matter-in-solid-massy-hard-impenetrable/) [Isaac Newton](https://sms4smile.com/quotes/author/isaac-newton/) > [ I am ashamed to tell you to how many figures I carried these calculations \[of Pi\], having no other business at the time ](https://sms4smile.com/quotes/isaac-newton/i-am-ashamed-to-tell-you-to-how-many-figures-i-carried-these/) [Isaac Newton](https://sms4smile.com/quotes/author/isaac-newton/) > [Hypotheses non fingo. I frame no hypotheses.](https://sms4smile.com/quotes/isaac-newton/hypotheses-non-fingo-i-frame-no-hypotheses/) [Isaac Newton](https://sms4smile.com/quotes/author/isaac-newton/) > [The Ignis Fatuus is a vapor shining without heat.](https://sms4smile.com/quotes/isaac-newton/the-ignis-fatuus-is-a-vapor-shining-without-heat/) [Isaac Newton](https://sms4smile.com/quotes/author/isaac-newton/) > [Blind metaphysical necessity, which is certainly the same always and every where, could produce no variety of things. All that diversity of natural things…](https://sms4smile.com/quotes/isaac-newton/blind-metaphysical-necessity-which-is-certainly-the-same-always-and/) [Isaac Newton](https://sms4smile.com/quotes/author/isaac-newton/) > [You sometimes speak of gravity as essential and inherent to matter. Pray do not ascribe that notion to me, for the cause of gravity…](https://sms4smile.com/quotes/isaac-newton/you-sometimes-speak-of-gravity-as-essential-and-inherent-to-matter/) [Isaac Newton](https://sms4smile.com/quotes/author/isaac-newton/) > [There are more sure marks of authenticity in the Bible than in any profane history.](https://sms4smile.com/quotes/isaac-newton/there-are-more-sure-marks-of-authenticity-in-the-bible-than-in-any/) [Isaac Newton](https://sms4smile.com/quotes/author/isaac-newton/) > [Therefore to the same natural effects we must, as far as possible, assign the same causes.](https://sms4smile.com/quotes/isaac-newton/therefore-to-the-same-natural-effects-we-must-as-far-as-possible/) [Isaac Newton](https://sms4smile.com/quotes/author/isaac-newton/) > [In scripture we are told of some trusting in God and others trusting in idols, and that God is our refuge, our strength, our…](https://sms4smile.com/quotes/isaac-newton/in-scripture-we-are-told-of-some-trusting-in-god-and-others-trusting/) [Isaac Newton](https://sms4smile.com/quotes/author/isaac-newton/) [Explore all 266 Isaac Newton quotes ](https://sms4smile.com/quotes/author/isaac-newton/) ## More Accounts quotes > [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/) > [Think of these things, whence you came, where you are going, and to whom you must account.](https://sms4smile.com/quotes/benjamin-franklin/think-of-these-things-whence-you-came-where-you-are-going-and-to-whom/) [Benjamin Franklin](https://sms4smile.com/quotes/author/benjamin-franklin/) > [Believing with you that religion is a matter which lies solely between man and his God, that he owes account to none other for…](https://sms4smile.com/quotes/thomas-jefferson/believing-with-you-that-religion-is-a-matter-which-lies-solely/) [Thomas Jefferson](https://sms4smile.com/quotes/author/thomas-jefferson/) > [There is nothing that we can properly call our own but our time, and yet everybody fools us out of it who has a…](https://sms4smile.com/quotes/seneca-the-younger/there-is-nothing-that-we-can-properly-call-our-own-but-our-time-and/) [Seneca the Younger](https://sms4smile.com/quotes/author/seneca-the-younger/) > [The Hindus have a peculiar slovenliness in business matters, not being sufficiently methodical and strict in keeping accounts etc.](https://sms4smile.com/quotes/swami-vivekananda/the-hindus-have-a-peculiar-slovenliness-in-business-matters-not-being/) [Swami Vivekananda](https://sms4smile.com/quotes/author/swami-vivekananda/) > [With the Truman book, I wrote the entire account of his experiences in World War I before going over to Europe to follow his…](https://sms4smile.com/quotes/david-mccullough/with-the-truman-book-i-wrote-the-entire-account-of-his-experiences-in/) [David McCullough](https://sms4smile.com/quotes/author/david-mccullough/) > [A great read; an exciting, frightening account of organized crime today. But like all important works of nonfiction, it goes further… This book is…](https://sms4smile.com/quotes/le-ly-hayslip/a-great-read-an-exciting-frightening-account-of-organized-crime-today/) [Le Ly Hayslip](https://sms4smile.com/quotes/author/le-ly-hayslip/) > [I had a very blessed journey with the upbringing I had. When you're working on sets as a stuntman, you have a firsthand account…](https://sms4smile.com/quotes/ric-roman-waugh/i-had-a-very-blessed-journey-with-the-upbringing-i-had-when-you-re/) [Ric Roman Waugh](https://sms4smile.com/quotes/author/ric-roman-waugh/) > [The suppression of uncomfortable ideas may be common in religion or in politics, but it is not the path to knowledge; it has no…](https://sms4smile.com/quotes/carl-sagan/the-suppression-of-uncomfortable-ideas-may-be-common-in-religion-or/) [Carl Sagan](https://sms4smile.com/quotes/author/carl-sagan/) > [You've got to exercise. Your health account, your bank account, they're the same thing. The more you put in, the more you can take…](https://sms4smile.com/quotes/jack-lalanne/you-ve-got-to-exercise-your-health-account-your-bank-account-they-re/) [Jack LaLanne](https://sms4smile.com/quotes/author/jack-lalanne/) > [No physiologist who calmly considers the question in connection with the general truths of his science, can long resist the conviction that different parts…](https://sms4smile.com/quotes/herbert-spencer/no-physiologist-who-calmly-considers-the-question-in-connection-with/) [Herbert Spencer](https://sms4smile.com/quotes/author/herbert-spencer/) > [God puts you where God needs you. You are where you are supposed to be. The job you are doing may not be any…](https://sms4smile.com/quotes/lawrence-kushner/god-puts-you-where-god-needs-you-you-are-where-you-are-supposed-to-be/) [Lawrence Kushner](https://sms4smile.com/quotes/author/lawrence-kushner/) > [Stop trying to treat music like it's a tennis shoe, something to be branded. If the music industry wants to save money, they should…](https://sms4smile.com/quotes/jeff-tweedy/stop-trying-to-treat-music-like-it-s-a-tennis-shoe-something-to-be/) [Jeff Tweedy](https://sms4smile.com/quotes/author/jeff-tweedy/) > [Anyone who thinks science is trying to make human life easier or more pleasant is utterly mistaken.](https://sms4smile.com/quotes/albert-einstein/anyone-who-thinks-science-is-trying-to-make-human-life-easier-or-more/) [Albert Einstein](https://sms4smile.com/quotes/author/albert-einstein/) > [That surely must be a concern to anyone who decides this drug must be given to stop transmissions, again from mother to child, which…](https://sms4smile.com/quotes/thabo-mbeki/that-surely-must-be-a-concern-to-anyone-who-decides-this-drug-must-be/) [Thabo Mbeki](https://sms4smile.com/quotes/author/thabo-mbeki/) [Browse all 2,677 Accounts quotes ](https://sms4smile.com/quotes/about/accounts/) ```json { "@context": "https://schema.org", "@graph": [ { "@type": "Quotation", "text": "This Excellent Mathematician having given us, in the Transactions of February last, an account of the cause, which induced him to think upon Reflecting Telescopes, instead of Refracting ones, hath thereupon presented the curious world with an Essay of what may be performed by such Telescopes; by which it is found, that Telescopical Tubes may be considerably shortened without prejudice to their magnifiying effect. 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