Square Quotes (3)

Circles to square and cubes to double
Would give a man excessive trouble.
The longitude uncertain roams,
In spite of Whiston and his bombs.
Alma', Canto III, in Samuel Johnson, The Works of the English Poets, from Chaucer to Cowper (1810), 203. The reference to longitude reflects the difficulty of its determination at sea, and the public interest in the attempts to win the prize instituted by the British government in 1714 for a successful way to find longitude at sea (eventually won by John Harrison's chronometer). In this poem, William Whiston (who succeeded Isaac Newton as Lucasian Professor at Cambridge) is being satirized for what many thought was a crack-brained scheme to find the longitude. This proposed, with Humphrey Ditton, the use of widely separated ships firing off shells programmed to explode at a set time, and calculation of distance between them made from the time-lag between the observed sounds of the explosions using the known speed of sound.
See also:  |  Bomb (4)  |  Circle (3)  |  Double (3)  |  Longitude (2)  |  Man (115)  |  Trouble (6)  |  William Whiston (2)

He is unworthy of the name of man who is ignorant of the fact that the diagonal of a square is incommensurable with its side.
Plato
Quoted by Sophie Germain: Mémorie sur les Surfaces Élastiques. In Robert Édouard Moritz, Memorabilia Mathematica (1914), 211
See also:  |  Diagonal (2)  |  Fact (146)  |  Ignorant (2)  |  Man (115)  |  Name (19)  |  Side (2)  |  Unworthy (2)

In 1684 Dr Halley came to visit him at Cambridge, after they had been some time together, the Dr asked him what he thought the Curve would be that would be described by the Planets supposing the force of attraction towards the Sun to be reciprocal to the square of their distance from it. Sr Isaac replied immediately that it would be an Ellipsis, the Doctor struck with joy & amazement asked him how he knew it, why saith he I have calculated it, whereupon Dr Halley asked him for his calculation without any farther delay. Sr Isaac looked among his papers but could not find it, but he promised him to renew it, & then to send it him.
[Recollecting Newton's account of the meeting after which Halley prompted Newton to write The Principia. When asking Newton this question, Halley was aware, without revealing it to Newton that Robert Hooke had made this hypothesis of plantary motion a decade earlier.]
Quoted in Richard Westfall, Never at Rest: A Biography of Isaac Newton (1980), 403.
See also:  |  Amazement (2)  |  Attraction (7)  |  Calculation (13)  |  Curve (2)  |  Distance (6)  |  Ellipse (2)  |  Force (26)  |  Gravity (41)  |  Edmond Halley (5)  |  Robert Hooke (15)  |  Joy (9)  |  Sir Isaac Newton (131)  |  Orbit (21)  |  Paper (10)  |  Planet (40)  |  Promise (3)  |  Search (12)  |  Sun (43)

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