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MYSTERIES OF THE EQUILATERAL TRIANGLE - HIKARI Ltd

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168 Biographical Vignettes<br />

ellipse by defining the locus of a point where the sum of m times the distance<br />

from one fixed point plus n times the distance from a second fixed point is<br />

constant. (m = n = 1 corresponds to an ellipse.) He also defined curves where<br />

there were more than two foci. This first paper, On the description of oval<br />

curves, and those having a plurality of foci, was read to the Royal Society of<br />

Edinburgh in 1846. At age 16, he entered the University of Edinburgh and,<br />

although he could have attended Cambridge after his first term, he instead<br />

completed the full course of undergraduate studies at Edinburgh. At age 18,<br />

he contributed two papers to the Transactions of the Royal Society of Edinburgh.<br />

In 1850, he moved to Cambridge University, first to Peterhouse and<br />

then to Trinity where he felt his chances for a fellowship were greater. He<br />

was elected to the secret Society of Apostles, was Second Wrangler and tied<br />

for Smith’s Prizeman. He obtained his fellowship and graduated with a degree<br />

in Mathematics in 1854. Immediately after taking his degree, he read<br />

to the Cambridge Philosophical Society the purely mathematical memoir On<br />

the transformation of surfaces by bending. In 1855, he presented Experiments<br />

on colour to the Royal Society of Edinburgh where he laid out the principles<br />

of colour combination based upon his observations of colored spinning tops<br />

(Maxwell discs). (Application 14 concerns the related Maxwell Color Triangle.)<br />

In 1855 and 1856, he read his two part paper On Faraday’s lines of force<br />

to the Cambridge Philosophical Society where he showed that a few simple<br />

mathematical equations could express the behavior of electric and magnetic<br />

fields and their interaction. In 1856, Maxwell took up an appointment at Marishcal<br />

College in Aberdeen. He spent the next two years working on the nature<br />

of Saturn’s rings and, in 1859, he was awarded the Adams Prize of St. John’s<br />

College, Cambridge for his paper On the stability of Saturn’s rings where he<br />

showed that stability could only be achieved if the rings consisted of numerous<br />

small solid particles, an explanation finally confirmed by the Voyager spacecrafts<br />

in the 1980’s! In 1860, he was appointed to the vacant chair of Natural<br />

Philosophy at King’s College in London. He performed his most important experimental<br />

work during the six years that he spent there. He was awarded the<br />

Royal Society’s Rumford medal in 1860 for his work on color which included<br />

the world’s first color photograph, and was elected to the Society in 1861. He<br />

also developed his ideas on the viscosity of gases (Maxwell-Boltzmann kinetic<br />

theory of gases), and proposed the basics of dimensional analysis. This time<br />

is especially known for the advances he made in electromagnetism: electromagnetic<br />

induction, displacement current and the identification of light as an<br />

electromagnetic phenomenon. In 1865, he left King’s College and returned to<br />

his Scottish estate of Glenlair until 1871 when he became the first Cavendish<br />

Professor of Physics at Cambridge. He designed the Cavendish laboratory<br />

and helped set it up. The four partial differential equations now known as<br />

Maxwell’s equations first appeared in fully developed form in A Treatise on

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