Algebra is a kind of generalized arithmetic, in which numbers or quantities and operations, often also the results of operations, are represented by symbols. Algebra is an invaluable instrument in intricate calculations of all kinds, and enables operations to be performed and results obtained that by arithmetic would be impossible, and its scope is still being extended.
The beginnings of algebraic method are to be found in Diophantus, a Greek of the fourth century of our era, but it was the Arabians that introduced algebra to Europe and from them it received its name. The first Arabian treatise on algebra was published in the reign of the great Kaliph Al Mamun (813-833) by Mohammed Ben Musa. In 1202 Leonardo Fibonacci of Pisa, who had travelled and studied in the East, published a work treating of algebra as then understood in the Arabian school. From this time to the discovery of printing considerable attention was given to algebra, and the work of Ben Musa and another Arabian treatise, called the Rule of Algebra, were translated into Italian.
The first printed work treating on algebra (also on arithmetic, etc) appeared at Venice in 1494, the author being a monk called Luca Pacioli da Bergo. Rapid progress now began to be made, and among the names of those to whom advances are to be attributed are Tarfcaglia and Cardan. About the middle of the sixteenth century the German Stifel introduced the plus, minus and square root symbols, and Recorde the equals sign. Recorde wrote the first English work on algebra. Francois Vieta, a French mathematician (1540-1603), first adopted the method which has led to so great an extension of modern algebra, by being the first who used general symbols for known quantities as well as for unknown. It was he also who first made the application of algebra to geometry.
Albert Girard extended the theory of equations by the supposition of imaginary quantities. The Englishman Harriot, early in the seventeenth century, discovered negative roots, and established the equality between the number of roots and the units in the degree of the equation. He also invented the less than and greater than signs, and Oughthred that of the x multiplication symbol. Descartes, though not the first to apply algebra to geometry, has, by the extent and importance of his applications, commonly acquired the credit of being so. The same discoveries have also been attributed to him as to Harriot, and their respective claims have caused much controversy. He obtained by means of algebra the definition and description of curves. Since his time algebra has been applied so widely in geometry and higher mathematics that we need only mention the names of Fermat, Wallis, Newton, Leibnitz, De Moivre, MacLaurin, Taylor, Euler, D'Alembert, Lagrange, Laplace, Fourier, Poisson, Gauss, Horner, De Morgan, Sylvester, Cayley. Boole, Jevons, and others have applied the algebraic method not only to formal logic but to political economy. Research Algebra More information about Algebra
Civil Law (jus civile) among the Romans was a term nearly corresponding to what in modern times is implied by the phrase positive law, that is, the rules of right established by any government. They contradistinguished it from natural law (jus naturale), by which they meant a certain natural order followed by all living beings; also from the general laws of mankind established by the agreement of all nations and governments (jus gentium). With the growth and multiplication of the edicts issued by the praetors (in whose hands was the supreme administration of justice) for the modification and extension of the positive enactments a further distinction became necessary, the whole body of this praetorian law being known by the name of jus honorarium as opposed to the strict formal law (jus civile). The latter, however, included both the private law (jus privatum), which relates to the various legal relations of the different members of the state - the citizens - and the public law (jus publicum), that is, the rules respecting the limits, rights, obligations, etc, of the public authorities.
The final digest of Roman law was made in the 6th century AD under the Emperor Justinian, but at first was only admitted as formally binding in a small part of Italy. After the llth century, in Upper Italy, particularly in the school of Bologna, the body of the Roman law, put together by Justinian, was formed by degrees into a system applicable to the wants of all nations; and on this model the ecclesiastical and Papal decrees were arranged, and to a considerable degree the native laws of the new Teutonic states. From all these the Roman law was distinguished under the name of civil law. In this sense, therefore, civil law means ancient Roman law; and it is contradistinguished from canon law and feudal law, though the feudalcodes of the Lombards have been received into the corpus juris civilis, or body of civil law. As the Roman code exerted the greatest influence on the private law of modern Europe, the expression civil law is also used to embrace all the rules relating to the private rights of citizens. Under the term civil law, therefore, in both Europe and America, is to be understood not only the Roman law, but also the modern private law of the various countries; for example, in Germany, Das gemeine Deutsche Privatrecht, in France the Code civil des Francais or Code Napoleon. In this sense it is chiefly opposed to criminal law, particularly in reference to the administration of justice, which is to be divided into civil justice and criminal justice. Research Civil Law
Cotton-spinning is a term employed to describe in the aggregate all the operations involved in transforming raw cotton into yarn. The word 'spinning' has also a more limited signification, being used to denote the concluding process of the series. The following affords a general notion of the nature and order of the successive operations carried on in the manufacture of cottonyarn:
(1) Mixing, the blending of different varieties of raw cotton, in order to secure economical production, uniform quality and colour, and an even thread in any desired degree.
(2) Cleaning, an operation partly effected in mixing, partly by scutching, the cotton being prepared in the form of a continuous lap or rolled sheet for the next process.
(3) Carding, an operation in which the material is treated in its individual fibres, which are taken from the lap, further cleansed, and laid in a position approximately parallel to each other, forming a thin film, which is afterwards condensed into a sliver - a round, untwisted strand of cotton.
(4) Drawing, the drawing out of several slivers to the dimensions of one, so as to render the new sliver more uniform in thickness, and to place the fibres more perfectly in parallel order.
(5) Stubbing, the further drawing or attenuation of the sliver, and slightly twisting it in order to preserve its cohesion and rounded form.
(6) Intermediate or second stubbing, a repetition of the former operation and further attenuation, not necessary in the production of coarse yarns.
(7) Having, a continuation of the preceding, its principal object being to still further attenuate the sliver, and give it a slight additional twist.
(8) Spinning, which completes the extension and twisting of the yarn. This is accomplished either with the throstle or the mule. By means of the former machine the yarn receives a hard twist, which renders it tough and strong. By means of the latter yarns of less strength are produced, such as warps of light fabrics and wefts of all kind.
Up to the middle of the 18th century the only method of spinning known was that by the hand-wheel, or the still more primitive distaff and spindle. In 1767 a poor weaver of the name of Hargreaves, residing at Stanhill, near Blackburn, in Lancashire, invented a machine for spinningcotton, which he named a spinning-jenny. It consisted at first of eight spindles, turned by a horizontal wheel, but was afterwards greatly extended and improved, so as to have the vertical substituted for the horizontal wheel, and give motion to from fifty to eighty spindles. In 1769 Arkwright, originally a barber's apprentice, took out a patent for spinning by rollers. From the circumstances of the mill erected by Arkwright at Cromford, in Derbyshire, being driven by water-power, his machine received the name of the water-frame, and the thread spun on it that of water-twist. The next important invention in cotton-spinning was that of the mule, introduced by Samuel Crompton, of Bolton, in 1775, and so called from its combining the principle of the spinning-jenny of Hargreaves with the roller-spinning of Arkwright.
Numerous improvements in cotton-spinning have been subsequently introduced up to the present day, but they are all, more or less, modifications of Arkwright's spinning-frame and Crompton's mule-jenny. Among the principal of these may be mentioned the throstle, an extension and simplification of the original spinning-frame, introduced about the year 1810. Research Cotton-Spinning
In logic, extension is the extent of the application of a general term, that is, the objects collectively which are included under it; thus, the word figure is more extensive than triangle, circle, parallelogram, etc; European more extensive than French, Frenchman, German, etc. Matter and mind are the most extensive terms of which any definite conception can be formed. Extension is contrasted with comprehension or intension. Research Extension
An extension ladder is a ladder consisting of two or more sections, each of the standing ladder type, made so that the height can be adjusted by telescoping the sections, each section being capable of being used on its own if desired. Research Extension Ladder
The Free Soil Party was an American political party which came into existence in 1848 and advocated non-extension of slavery in the newly acquired territory of the United States. It was composed of Abolitionists - formerly Democrats and Whigs, who had left their party conventions upon their failure to support that issue. Their first convention was held in 1848 when they polled a large popular vote, but secured no electoral count. Their second convention in 1852 was held at Pittsburgh and secured them less votes than before. In 1854 they opposed the Kansas-Nebraska bill, and in 1856 became absorbed in the newly-formed Republican party. Research Free Soil Party
The Missouri Compromise was a compromise in America effected by the Act of Congress of March the 3rd, 1830, between those who desired the extension of slavery into the regions beyond the Mississippi and those who desired its restriction. Missouri having applied for admission as a State, Tallmadge, of New York, in February, 1819, proposed an amendment which would ultimately destroy slavery in the new State. The House passed the bill with this amendment; the Senate refused to concur. Next year the bill, in the same form, passed the House again. The Senate voted to admit Maine, provided Missouri was admitted as a slave State. The House rejected the proposal. Thomas, of Illinois, proposed as a compromise that Missouri be admitted as a slave State, but that in future slavery should be prohibited in all territory forming part of the Louisiana cession north of 36 degrees 30 minutes. When Missouri's Constitution was laid before Congress, however, it appeared that she had introduced clauses excluding free negroes from the State. The House then refused to admit Missouri. Clay effected a further compromise, whereby Missouri agreed not to deprive of his rights any citizen of another State. Research Missouri Compromise
The name of Republicans was, in the earlier history of the United States, taken by the party formed by Jefferson, as distinguishing them from their Federalist opponents (later known as the Democratic Party), stigmatised as monarchists. In 1854 the name was revived, to be applied to a new political party, at first characterized primarily by opposition to the extension of slavery to the territories.
The compromise of 1850 had resulted in the disruption and decay of the Whig party. There was a brief interval before parties could be re-formed upon the basis of the slavery question purely. The passage of the Kansas-Nebraska Act by the Democrats in 1854 caused a general coalition of Northern Free-Soilers, Whigs, Democrats, Know-Nothings and Abolitionists, united in opposition to that measure and the consequent repeal of the Missouri Compromise. At first known as 'Anti-Nebraska Men', the coalitionists took in that same year the name of Republicans. They at once won a plurality of Congress, and in 1856 held their first national convention at Philadelphia, which nominated Fremont and Dayton. Defeated then, in 1859 they again controlled the House. In 1860 Democratic divisions enabled them to elect Abraham Lincoln.
For the next' fourteen years the party, reinforced for a time by 'War Democrats', was supreme. It controlled the National Government, enlarged its powers by broad construction of the Constitution, carried on the American Civil War, abolished slavery, reconstructed the governments of the seceding States and controlled them, maintained the protective system and refunded the debt. It carried the election of Abraham Lincoln in 1864 and of Grant in 1868 and 1872. The Liberal Republican schism of 1872 indicated a reaction from the radical policy followed in regard to reconstruction, and was followed by extensive defeats in the tidal wave of 1874, due partly to official corruption in high places.
Yet the party managed, though barely, to carry the election of Hayes in 1876, and elected Garfield in 1880. In 1884 the nomination of Blaine caused the bolt of the mugwumps, and the election of a Democratic President. The party then became, more distinctly than in the years just preceding, the party of high protection. In 1888 it elected Harrison. Defeated in 1892, it was again successful in State elections in 1893. Its strength traditionally lay in the North. During the later part of the 19th century the Republican Party advocated a more stirring foreign policy than that of the Democrats, and larger expenditures for pensions and other national objects.
During the 20th century the Republican Party became more right-wing, represented by presidents such as Ronald Reagan, George Bush and George W Bush. Research Republican Party
Sneeshing is an old 17th and 18th century Scottish, Irish and North of England term for snuff, and later by extension a derogatory term for an item of little value (like a pinch of snuff). Research Sneeshing
The Union Jack Club was a British institution for sailors, soldiers, and airmen. Soon after the close of the South African War steps were taken to establish a national memorial to the soldiers who fell in that war, and the scheme of a club where service men could meet was taken in hand. Named the Union Jack Club, a site for it was selected in the Waterloo Road, London, in close proximity to the station there. The club premises were opened on July the 1st, 1907, by King Edward VII. Membership was limited to all service men below the rank of officer. There they could deposit their kit, obtain good meals and a comfortable bedroom at a moderate charge. There was a library and writing-room, baths, barber's shop, club store at which everything for ordinary use could be purchased, including tobacco, and all the usual amenities of club life. In 1920 an extension called the Prince of Wales' wing was undertaken as a memorial to the service of the forces in the Great War. The cost of this and the original club was met by public subscriptions all over the empire.
The benefits of the Union Jack Club in the Great War were inestimable. All mobilised men including those from the Overseas Dominions and Allied countries, were given the use of the club. Research Union Jack Club
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