Circle 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.
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.
De Morgan was explaining to an actuary what was the chance that a certain proportion of some group of people would at the end of a given time be alive; and quoted the actuarial formula, involving p [pi], which, in answer to a question, he explained stood for the ratio of the circumference of a circle to its diameter. His acquaintance, who had so far listened to the explanation with interest, interrupted him and exclaimed, 'My dear friend, that must be a delusion, what can a circle have to do with the number of people alive at a given time?'
Mathematical Recreations and Problems (1896), 180; See also De Morgan's Budget of Paradoxes (1872), 172.
See also: | Anecdote (14) | Answer (24) | Chance (33) | Circumference (2) | Death (91) | Augustus De Morgan (21) | Diameter (2) | Explanation (20) | Formula (16) | Group (2) | Interest (6) | Number (45) | Pi (3) | Proportion (6) | Question (45) | Ratio (2)
Why is geometry often described as 'cold' and 'dry?' One reason lies in its inability to describe the shape of a cloud, a mountain, coastline, or a tree. Clouds are not spheres; mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line.
The Fractal Geometry of Nature (2000), xiii.
See also: | Bark (2) | Cloud (6) | Cone (2) | Fractal (6) | Line (7) | Mountain (29) | Smooth (5) | Sphere (5)
