THE DUPLICATION PROBLEM.

Refutation of a Pamphlet written by the Rev. John Mackey, R.C.P.,[728]

entitled "A method of making a cube double of a cube, founded on the

principles of elementary geometry," wherein his principles are proved

erroneous, and the required solution not yet obtained. By Robert

Murphy.[729] Mallow, 1824, 12mo.

This refutation was the production of an Irish boy of eighteen years old,

self-educated in mathematics, the son of a shoemaker at Mallow. He died in

1843, leaving a name which is well known among mathematicians. His works on

the theory of equations and on electricity, and his papers in the

_Cambridge Transactions_, are all of high genius. The only account of him

which I know of is that which I wrote for the _Supplement_ of the _Penny

Cyclopaedia_. He was thrown by his talents into a good income at Cambridge,

with no social training except penury, and very little intellectual

training except mathematics. He fell into dissipation, and his scientific

career was almost arrested: but he had great good in him, to my knowledge.

A sentence in {350} a letter from the late Dean Peacock[730] to me--giving

some advice about the means of serving Murphy--sets out the old case:

"Murphy is a man whose _special_ education is in advance of his _general_;

and such men are almost always difficult subjects to manage." This article

having been omitted in its proper place, I put it at 1843, the date of

Murphy's death.

A NEW VALUE OF [pi].

The Invisible Universe disclosed; or, the real Plan and Government of

the Universe. By Henry Coleman Johnson, Esq. London, 1843, 8vo.

The book opens abruptly with:

"First demonstration. Concerning the centre: showing that, because the

centre is an innermost point at an equal distance between two extreme

points of a right line, and from every two relative and opposite

intermediate points, it is composed of the two extreme internal points of

each half of the line; each extreme internal point attracting towards

itself all parts of that half to which it belongs...."

Of course the circle is squared: and the circumference is 3-1/21 diameters.

A Budget of Paradoxes, Volume I · 第 164 / 198 题