And the same year I began to think of gravity extending to the orb of the Moon, and having found out how to estimate the force with which globe revolving within a sphere presses the surface of the sphere, from Kepler's Rule of the periodical times of the Planets being in a sesquialterate proportion of their distances from the centers of their orbs I deduced that the forces which keep the Planets in their Orbs must reciprocally as the squares of their distances from the centers about which they revolve: and thereby compared the force requisite to keep the Moon in her orb with the force of gravity at the surface of the earth, and found them answer pretty nearly. ![]() The same year in May I found the method of tangents of Gregory and Slusius, and in November had the direct method of Fluxions, and the next year in January had the Theory of Colours, and in May following I had entrance into the inverse method of Fluxions. “In the beginning of the year 1665 I found the method of approximating Series and the Rule for reducing any dignity of any Binomial into such a series. If I have seen further it is only by standing on the shoulders of giants. Modernized variants: If I have seen further it is by standing on the shoulders of giants.And this is not at all because of the acuteness of our sight or the stature of our body, but because we are carried aloft and elevated by the magnitude of the giants. The phrase is most famous as an expression of Newton's but he was using a metaphor which in its earliest known form was attributed to Bernard of Chartres by John of Salisbury: Bernard of Chartres used to say that we are like dwarves perched on the shoulders of giants, and thus we are able to see more and farther than the latter. The quotation is 7-8 lines up from the bottom of the first page. More on this quote: Letter to Robert Hooke (15 February 1676) A facsimile of the original is online at The digital Library. ![]() ![]() “Isaac Newton Quotes: 1–30 of 202 Quotes.” Last modified August 5, 2021. Use MLA (Modern Language Association) style for the humanities, especially language and literature.
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