Perkins 3676 Perpetuity making nails. He greatly improved the process for engraving bank notes, and in 1814 removed to Philadelphia and entered the business of bank-note engraving and printing. In iSiS he settled in England, and established a bank-note printing business. He introduced many improvements in steam en- gines and printing presses, in printing proc- esses and in engraving. Perkins, Thomas Handasyd (1764- 1854), American philanthropist, was born in Boston, Mass. From 1805 he served in one or the other houses of the Mass, legislature for many years. He gave his house and lot in Boston for the Perkins Institution for the Blind, besides aiding the Bunker Hill Monu- ment project. Mr. Perkins was a principal organizer of the Quincy Railroad, the first in the U. S. Perlitic Structure, in volcanic rocks, con- sists in the presence of small concentric cracks, along which the rock readily breaks down, yielding rounded pearl-like fragments. Rocks having this structure are often called Ferities. Perm, town and river port in Soviet Russia, 900 m. by water e. n.e. of Moscow, and on the Kama R. It was formerly a de- pot for convicts bound for Siberia, and is now the center of the large transit trade be- tween Central Russia and Siberia; p.85,000. Permanganic Acid, HMnO.i, is unknown in the pure state, but can be obtained as a crimson, strongly acid solution by decom- posing barium permanganate with dilute sul- phuric acid. Permutations and Combinations, the branch of algebra which has to do with the simpler problems of arrangement. Let there be, say, ten objects—for example, ten boys in a class. In how many ways may these boys be arranged in groups of four? If no regard be taken of the order in each group, then the problem is one of combinations; but if regard be had to the order, the problem becomes one of permutations. The theory of permutations and combinations has many important applications in the discussion of series, probability, and statistics* Pernambuco, state, Brazil, on Atlantic coast. The interior is mountainous, rising to over 3,000 ft. In the coast lands known as the Mata are plantations of sugar-cane and cotton; coffee, tobacco, and rice are also grown. The fruits of Pernambuco are fa- mous. Recife is the capital. Area, 49,570 sq. m.; p. 2,900,000. Pernambuco, d'y, state of Pernambuco, Brazil. Peronne, tn., France, dep. Somme, on riv. Somme, 30 m. e. of Amiens. Here Louis XL. was forced to sign a treaty with Charles the Bold of Burgundy in 1468. During the World War Peronne was occupied by German troops, but in March 1917, they were driven out by the British. A year later the Germans recovered the town, but lost it to the Aus- tralians in September 1918; p. 4,500. Perpetual Motion. According to the doc- trine of the conservation of energy it is not possible to do work without expenditure of energy in some form. Nevertheless many forms of apparatus have been devised by which the inventor believed it possible to gain work without expenditure of effort, Jf a system could be devised so as to be able to keep up its motion perpetually and at the same time to do useful work, the law of the conservation of energy would be disproved and the perpetual motion discovered. The true perpetual motion must be carefully distin- guished from an apparent perpetual motion, in which a system may be made to continue moving indefinitely, but only because it is able to tap some more or less hidden source of energy. Perpetuities, Rule against. A rule of law designed to prevent the limitation of future estates in real and personal property, subject to such contingencies that they will not nec- essarily become vested within a certain peri- od, considered to be a reasonable time. This period varies in different states, and the sub- ject is generally regulated by statutes. This name is also commonly applied to statutes prohibiting the suspension of the power of alienation of property beyond a fixed period. The English rule provides that future estates must vest within a life or lives in being and twenty-one years, and this is followed in many of the United States. Several states have fixed the period at two lives in being and twenty-one years, and in New York and a few other states it is two lives in being and the period of a minority. The rule against perpetuities applies to estates in trust as well as legal estates. Consult Gray, Rules Against Perpetuities. Perpetuity, When property is so held that no one can dispose of the absolute ownership thereof it is said to be held in perpetuity. Various rules have been passed to prevent perpetuities for any great length of time, The rule applies to personal property as well