Radical Sentence Examples

Since 1870 there have been five radical changes made in New South Wales.

They imply a lively sense of radical human need.

History is full of radical breaks with the past that only seem to have come out of nowhere but were, in fact, predictable.

He was prominent as a radical in all measures in opposition to the British government, and was a member of the first Virginia committee of correspondence.

That in the Duma any Radical elements survive at all is mainly due to the peculiar franchise enjoyed by the seven largest towns - St Petersburg, Moscow, Kiev, Odessa, Riga and the Polish cities of Warsaw and Lodz.

Such radical redistribution attempts are dangerous games, for the rich are creators of economic opportunity, not just for themselves, but as employers, for society.

His first care was to carry out the instructions received from home, and effect a radical reform in the system of government.

At the same time the military and financial requirements dislocated the local and central administration, and consequently a series of radical administrative reforms had to be undertaken.

This was clearly perceived and keenly felt by the educated classes, and as soon as the strong hand of the uncompromising autocrat was withdrawn, they clamoured loudly for radical changes in the aims and methods of their rulers.

But the treatment of instruments in Bach and Handel has a radical difference from that of the art which was soon to succeed it.

Fear of the advent of a Radical administration under Rattazzi alone prevented the Minghettian Right from revolting against the government.

Before Nerazzini could reach Adis Ababa, Rudini, in order partially to satisfy the demands of his Radical supporters for the abandonment of the colony, announced in the Chamber the intention of Italy to limit her occupation to the triangular zone between the points Asmar, Keren and Massawa, and, possibly, to withdraw to Massawa alone.

Bound by a secret understanding with the Radical leader Cavallotti, an able but unscrupulous demagogue, Rudini was compelled to bow to Radical exigencies.

But the second, notwithstanding the brilliancy of the narrative and the masterly art in the grouping of events, suffers from a radical defect which renders it a misleading guide.

The radical side of Descartes appears again in his offering his own type of theism as a substitute for the old proofs - not a supplement.

This speech, which, according to reports, was extremely radical and denied the right of the king to disallow acts of the colonial legislature, made Henry the idol of the common people of Virginia and procured for him an enormous practice.

Crispis methods aroused great outcry in the Radical press, but the severe sentences of the military courts were in time tempered by the Royal prerogative of amnesty.

In the following year he entered the chamber, being elected deputy for the Marne, in opposition to General Boulanger, and joined the radical left.

South Carolina led the extreme radical element in the South and was the first state to secede.

In 1784 John Wesley, in disregard of the authority of the Established Church, took the radical step of appointing the Rev. Thomas Coke (1747-1814) and Francis Asbury superintendents or "bishops" of the church in the United States.

A third radical method of redistribution is called land reform, which is actually a polite term for taking land from one person and giving it to another.

There are about seven species, herbs with clusters of radical leaves some or all of which are more or less trumpetor pitcher-shaped.

By a strange anomaly the Radical measures brought forward by the Left diminished instead of increasing the distance between it and the Conservatives.

Numerically insufficient to reject such measures, and lacking the fibre and the cohesion necessary for the pursuance of a far-sighted policy, the Right thought prudent not to employ its strength in uncompromising opposition, but rather, by supporting the government, to endeavour to modify Radical legislation in a Conservative sense.

In November 1895 he himself formed a cabinet of a pronouncedly radical type, the main interest of which was attached to its fall, as the result of a constitutional crisis arising from the persistent refusal of the senate to vote supply.

But his opinions became more and more radical.

He was one of the earliest political opponents of slavery, as distinguished from the radical Abolitionists, or the followers of William Lloyd Garrison, who eschewed politics and devoted themselves to a moral agitation.

Radical measures were passed unmodified, and the Right was compelled sadly to accept the accomplished fact.

A second method of radical redistribution is to increase marginal tax rates to a point that is confiscatory.

The most successful feature of Crispis term of office was his strict maintenance of Order and the suppression of Radical and Irredentist agitation.

Finding that the more conservative section of the union would not follow him, Alem formed a new association to which he gave the name of Union Civica Radical.

Nicotera, minister of the interior, began his administration of home affairs by a sweeping change in the personnel of the prefects, sub-prefects and public prosecutors, but found himself obliged to incur the wrath of his supporters by prohibiting Radical meetings likely to endanger public order, and by enunciating administrative principles which would have befitted an inveterate Conservative.

In doctrine they were generally broad and radical.

It is, moreover, highly probable that he was the author of a radical pamphlet entitled La Philosophie au people frangais, published in 1788, the text of which is not known.

But the triumph of the navy in 480 and the great expansion of commerce and industry had definitely shifted the political centre of gravity from the yeoman class of moderate democrats to the more radical party usually stigmatized as the " sailor rabble."

Becoming convinced that the common law in America, and particularly in New York state, needed radical changes in respect to the unification and simplification of its procedure, he visited Europe in 1836 and thoroughly investigated the courts, procedure and codes of England, France and other countries, and then applied himself to the task of bringing about in the United States a codification of the common law procedure.

He was elected to the Chamber of Deputies for the department of the Seine in 1885 as a radical socialist.

However, in 1833, Berzelius reverted to his earlier opinion that oxygenated radicals were incompatible with his electrochemical theory; he regarded benzoyl as an oxide of the radical C 14 H 1Q, which he named " picramyl " (from 7rucp6s, bitter, and &uvyalk, almond), the peroxide being anhydrous benzoic acid; and he dismissed the views of Gay Lussac and Dumas that ethylene was the radical of ether, alcohol and ethyl chloride, setting up in their place the idea that ether was a suboxide of ethyl, (C2H5)20, which was analogous to K 2 0, while alcohol was an oxide of a radical C 2 H 6; thus annihilating any relation between these two compounds.

When the work of conquest had been achieved, it could not be expected that a radical alteration should be suddenly wrought either in the social system which was in harmony with it, or even in the general ideas which had grown up under its influence.

The unfortunate Niger expedition of 1841 was directed to similar ends; and it has been more and more felt by all who were interested in the subject that here lies the radical solution of the great problem.

His father, who was an extreme Calvinist and a strong radical, was engaged in the iron trade.

He was much carried away at this time by the idea of a radical reform of social life in Livonia, which (after the example of Rousseau) he thought to effect by means of a better method of school-training.

Sir George Grey, entering colonial politics as a Radical leader, had appealed eloquently to the work-people as well as to the Radical "intellectuals," and though unable to retain office for very long he had compelled his opponents to pass manhood suffrage and a triennial parliaments act.

The line AB is termed the " radical axis."

The decisions which he wrote, many of which were regarded as radical at the time, were all upheld by the courts.

A far more radical remodelling of the army was undertaken at Babylon in 323, by which the old phalanx system was to be given up for one in which the unit was to be composed of Macedonians with pikes and Asiatics with missile arms in combination - a change calculated to be momentous both from a military point of view in the coming wars, and from a political, in the close fusion of Europeans and Asiatics.

Meantime another and more radical reform had been in preparation and was already in progress, namely, the abolition of slavery itself in the foreign possessions of the several states of Europe.

By the spring of 1866 the ex-Confederates had succeeded in gaining possession of most of the local government and most of the state offices, although not of the governorship. The Republican party naturally became extremely radical.

But a quarrel broke out among the Republicans (1872), the result of which was the installation of two governors and legislatures, one supported by the Democrats and Liberal Republicans and the other by the radical Republicans, the former being certainly elected by the people.

The rivalry of these two state governments, clashes of arms, the recognition by the Federal authorities of the radical Republican government (Pinchback and Kellogg, successively governors) followed.

Pinchback, Republican (acting) John McEnery, 5 Democrat-Liberal Republican William P. Kellogg, Radical Republican..

Under the conditions of free labour, the development of railways abroad, the improvement of machinery both in cane and beet producing countries, the general competition of the beet, and the fall of prices, it was impossible for the Cuban industry to survive without radical betterment of methods.

Then came forced loans and debased currency (1788), producing still more acute distress until, in 1791, at the close of the two years' war with Russia, in which the disaster which attended Ottoman arms may be largely ascribed to the penury of the Ottoman treasury, Selim III., the first of the " reforming sultans, " attempted, with but little practical success, to introduce radical reforms into the administrative organization of his empire.

The respiratory current of water is therefore conducted to the exterior by different means from that adopted by Amphioxus, and this difference is so great that the theory which seeks to explain it has to postulate radical changes of structure, function and topography.

These substances are combinations of one or more albumins with a radical of an essentially different nature, termed by Kossel a " prosthetic group."

It was he who caused the word "retrenchment" to be added to the Radical programme "peace and reform."

Among the numerous conjectures which have been made as to the etymology of the term Africa ('Acppucii) may be quoted that which derives it from the Semitic radical.

Though radical enough, this Land Act was still not sufficient to satisfy the groups which came into political power on June 3 1921.

The plants generally have a rhizome bearing radical leaves, as in asphodel, rarely a stem with a tuft of leaves as in Aloe, very rarely a tuber (Eriospermum) or bulb (Bowiea).

Asphodelus (asphodel) is a Mediterranean genus; Simethis, a slender herb with grassy radical leaves, is a native of west and southern Europe extending into south Ireland.

Anthericum and Chlorophytum, herbs with radical often grass-like leaves and scapes bearing a more or less branched inflorescence of small generally white flowers, are widely spread in the tropics.

His treatise was remarkable, not only as offering a satisfactory explanation of the coincidence between the lunar periods of rotation and revolution, but as containing the first employment of his radical formula of mechanics, obtained by combining with the principle of d'Alembert that of virtual velocities.

Thus a universal science of matter and motion was derived, by an unbroken sequence of deduction, from one radical principle; and analytical mechanics assumed the clear and complete form of logical perfection which it now wears.

The Reformation brought in radical changes, which were on the whole a return to the primitive type.

In the campaign he held, in opposition to the wishes of the more radical members of his party, that although secession might be resorted to as a last alternative the circumstances were not yet such as to justify it.

At the same time he practically told the Senate that the South would secede in the event of the election of a radical Republican to the presidency; and on the 10th of January 1861, not long after the election of Lincoln, he argued before that body the constitutional right of secession and declared that the treatment of the South had become such that it could no longer remain in the Union without being degraded.

The two opposing theories express at bottom, in the phraseology of their own time, the radical divergence of pantheism and individualism - the two extremes between which philosophy seems pendulum-wise to oscillate, and which may be said still to await their perfect reconciliation.

In 1847 he was temporarily occupied with ideas of emigration, and with this object made a journey to Algiers, but returned to Baden and resumed his former position as the Radical champion of popular rights, later becoming president of the Volksverein, where he was destined to fall still further under the influence of the agitator Gustav von Struve.

In conjunction with Struve he drew up the Radical programme carried at the great Liberal meeting held at Offenburg on the 12th of September 1847 (entitled "Thirteen Claims put forward by the People of Baden").

On the questions relating to political reconstruction and the policy of President Johnson, he supported his party, though opposed to its Radical leaders.

In 1865 he rejected the more radical views of his party as to the treatment to be accorded to the late Confederate states, opposed the immediate and unconditional enfranchisement of freedmen, and, though not accepting President Johnson's views in their entirety, he urged the people of Massachusetts to give the new president their support.

But that claim had been rudely disputed by the return of a Radical lawyer at the election of 1831.

Roebuck, the Radical member for Sheffield, gave notice that he would move for a select committee " to inquire into the condition of our army before Sevastopol, and into the conduct of those departments of the government whose duty it has been to minister to the wants of that army."

But just in proportion as Gladstone advanced in favour with the Radical party he lost the confidence of his own constituents.

Channing (q.v.), whom Martineau had called " the inspirer of his youth," Theodore Parker had succeeded, introducing more radical ideas as to religion and a more drastic criticism of sacred history.

Both of these journals devoted space to social news, a radical departure from the austere restrictions observed by their aristocratic contemporaries.

There is a radical difference between the points of view of the Japanese and the Western connoisseur in estimating tbe Japanese merits of sculpture in metal.

Again, anode reactions, such as are observed in the electrolysis of the fatty acids, may be utilized, as, for example, when the radical CH3C02 - deposited at the anode in the electrolysis of acetic acid - is dissociated, two of the groups react to give one molecule of ethane, C 2 H 6, and two of carbon dioxide.

Finally the defection of the Radical and Socialist groups induced him to resign on the 17th of January 1905, although he had not met an adverse vote in the Chamber.

His policy was still carried on; and when the law of the separation of church and state was passed, all the leaders of the Radical parties entertained him at a noteworthy banquet in which they openly recognized him as the real originator of the movement.

The Westminster Review (1824), established by the followers of Jeremy Bentham, advocated radical reforms in church, state and legislation.

It was Radical in politics, and had Roebuck as one of its founders.

In the convention parliament summoned by the prince of Orange, in which he sat for Heytesbury, he spoke in favour of a radical resettlement of the constitution, and served on a committee, of which Somers was chairman, for drawing up a new constitution in the form of the Declaration of Right; and he was one of the representatives of the Commons in their conference with the peers on the question of declaring the throne vacant.

At the close of the Civil War he was a leading member of the radical wing of the Republican party, advocating the disfranchisement of all who had been prominent in the service of the Confederacy, and declaring that "loyalty must govern what loyalty has preserved."

In 1888 he was elected Radical deputy for the department of the Aisne.

In 1902 he returned to France and was elected by Laon to the chamber as a Radical.

He refused, however, to support the Combes ministry, and formed a Radical dissident group, which grew in strength and eventually caused the fall of the ministry.

An advanced and vehement Radical in politics and Progressive in municipal affairs, Mr Harrison in 1886 stood unsuccessfully for parliament against Sir John Lubbock for London University.

As a religious teacher, literary critic, historian and jurist, Mr Harrison took a prominent part in the life of his time, and his writings, though often violently controversial on political and social subjects, and in their judgment and historical perspective characterized by a modern Radical point of view, are those of an accomplished scholar, and of one whose wide knowledge of literature was combined with independence of thought and admirable vigour of style.

It is necessary to insist upon this point, since it serves to illustrate a radical infirmity in Machiavelli's genius.

But the perusal of the piece obliges us to ask ourselves whether the author's radical conception of human nature was not false.

This may be so, but it can be admitted neither that Fichte's views underwent radical change, nor that the Wissenschaftslehre was ever regarded as in itself complete, nor that Fichte was unconscious of the apparent difference between his earlier and later utterances.

He displayed such radical and reforming inclinations that he laid the foundations of his popularity among the lower and middle classes, which lasted more than a quarter of a century, during which time the Progressists, Democrats and advanced Liberals ever looked to him as a leader and adviser.

For two years Espartero ruled Spain in accordance with his Radical and conciliatory dispositions, giving special attention to the reorganization of the administration, taxation and finances, declaring all the estates of the church, congregations and religious orders to be national property, and suppressing the diezma, or tenths.

In 1556 he wrote his famous Consultatio theologica, in which he advised the king to resist the temporal encroachments of the papacy and, as absolute monarch, to defend his rights by bringing about a radical change in the administration of ecclesiastical revenues, thus making Spain less dependent on Rome.

At Newark from 1875 he gave himself entirely to literary work, and exercised a strong influence as leader of the radical and reforming Jewish party.

They were weavers who had been associated with Thomas Miinzer, and like him looked forward to a very radical reform of society.

These measures, and the excitement which followed the arrival of the radicals from Zwickau, led Luther to return to Wittenberg in March 1522, where he preached a series of sermons attacking the impatience of the radical party, and setting forth clearly his own views of what the progress of the Reformation should be.

On the other hand, they did not wish to take the risk of radical measures against the new doctrines, and were glad of an excuse for refusing the demands of the pope.

They made it clear that they still held a great part of the beliefs of the medieval Church, especially as represented in Augustine's writings, and repudiated the radical notions of the Anabaptists and of Zwingli.

NeoPlatonism, which is in some respects nearer the Christian patristic than the Hellenic spirit, was as far as the radical religious thinkers of the Italian Renaissance receded.

There is, however, a radical difference between the two systems. The standpoint of the Aristotelian classification is the predication of one universal concerning another.

The religious concep tions of the fishing tribes on the Pacific coast between Mount St Elias and the Columbia river are worked out by Boas; the transformation from the hunting to the agricultural mode of life was accompanied by changes in belief and worship quite as radical.

This is a radical version of the early Protestant idea of faith, and yields a theory of what in English we call " doctrine."

Upon a platform which called for radical reforms in the administrative departments, the civil service, and the national finances, Cleveland was nominated for president, despite the opposition of the strong Tammany delegation from his own state.

Public discussion of them contributed to secure radical modifications of scope and method at the census of 1850.

On Elizabeth's accession they ceased to assemble, until it was plain that she did not intend a radical reformation.

After the triumph of the radical democrats which followed upon these successes he lost his high command.

In the struggle, although he was bitterly accused of violating the written constitution, of arresting and destroying business prosperity and of attempting a radical departure from the accepted social system of the country, he was remarkably successful.

Prince Gorchakov did not want a radical solution involving a great European war, but he was too fond of ephemeral popularity to stem the current of popular excitement.

The salts produced by the action of ammonia on acids are known as the ammonium salts and all contain the compound radical ammonium (NH 4).

Numerous attempts have been made to isolate this radical, but so far none have been successful.

Under his sway the town was modernized and developed, but the finances were badly administered, and Fazy became more and more a radical dictator.

The Radical government enacted severe laws as to the Romanists in Geneva, and gave privileges to the Christian Catholic Church, which, organized in 1874 in Switzerland, had absorbed the community founded at Geneva by Pere Hyacinthe, an ex-Carmelite friar.

In this year began the " Tariff Reform " movement initiated by Mr Joseph Chamberlain, but Free Trade retained a strong hold on the British electorate, and the return of the overwhelming Radical majority to parliament in 1906 involved its retention under the fiscal policy of that party.

The treaty thus made a radical change, revolutionizing the tariff system of France.

On two occasions he stood for Sheffield as a "philosophic radical," but without success.

Jean Dupuy, leader of the Left Republican group which refused to accept the decisions of the Radical Socialist congress at Pau in Oct.

On June 9 1914 he became prime minister and Minister of Justice, but his Government was bitterly assailed by the Radical Socialists as well as other groups, and only lasted one day.

Thus wealth, position, court influence and ability combined gave the Czartoryscy a commanding position in Poland, and, to their honour be it said, they had determined from the first to save the Republic, whose impending ruin in existing circumstances they clearly foresaw, by a radical constitutional reconstruction which was to include the abolition of the liberum veto and the formation of a standing army.

In 1835 he was unseated on petition, an& after standing unsuccessfully for Oldham he took to stumping England in favour of the new Radical doctrines of the day, and the use of physical force for their adoption.

With the approach of the crisis in the relations between Great Britain and the American colonies he adopted a conservative course, and, while recognizing the justice of many of the colonial complaints, discouraged, radical action and advocated a compromise.

In the House of Commons he soon made his mark as a radical, and as a denouncer of naval abuses.

In spite of his radical opinions he made a furious attack on the admiralty for the new prize money regulations which diminished the shares of the captains to the advantage of the men.

Nor again is it possible to survey the more special developments of literary criticism which have later emerged, amongst which one of the most important has been the radical examination of the prophetic writings introduced and developed by (amongst others) Stade, Wellhausen, Duhm, Cheyne, Marti.'

Other important works in which English and American scholars have co-operated are the Encyclopaedia Biblica (1899-1903) and Hastings' Bible Dictionary (1898-1904) - the latter less radical, but yet on the whole based on acceptance of the fundamental positions of Vatke, Graf, Wellhausen.

In the first county council elections for Carnarvonshire he played a strenuous part on the Radical side, and was chosen an alderman; and in 1890, at a by-election for Carnarvon Boroughs, he was returned to parliament by a majority of 18 over a strong Conservative opponent.

His settlement of the railway dispute in 1906 was universally applauded; and the bills he introduced and passed for reorganizing the port of London, dealing with Merchant Shipping, and enforcing the working in England of patents granted there, and so increasing the employment of British labour, were greeted with satisfaction by the tariff-reformers, who congratulated themselves that a Radical free-trader should thus throw over the policy of laisser faire.

The government had been losing ground in the country, and Mr Lloyd George and Mr Winston Churchill were conspicuously in alliance in advocating the use of the budget for introducing drastic reforms in regard to licensing and land, which the resistance of the House of Lords prevented the Radical party from effecting by ordinary legislation.

In doing battle against the Tyrian Baal he is content with a reformation for which the whole nation can be heartily won, because it makes no radical change in their inherited faith and practices of worship. And in stimulating resistance to Syria he is.

A radical revision of the constitution is rendered especially difficult by a provision that ma amendment proposed by a convention shall be adopted without the approval of two-thirds of the electors who vote on the subject when it is referred to them.

He ranked as one of the Radical supporters of the new dynasty, in opposition to the party of which his rival Guizot was the chief literary man, and Guizot's patron, the duc de Broglie, the main pillar.

After the overthrow of his patron Laffitte, he became much less radical, and, after the troubles of June 1832, was appointed to the ministry of the interior.

Guesde took his full share in the consequent discussion between the Guesdists, the Blanquists, the possibilists, &c. In 1893 he was returned to the Chamber of Deputies for Lille (7th circonscription) with a large majority over the Christian Socialist and Radical candidates.

Besides these, other double cyanides are known which do not suffer such decomposition, the heavy metal present being combined with the cyanogen radical in the form of a complexion.

On the other hand, when there is but little electro-chemical difference between the radical of the cyanide and that of the reacting compound then the nitrogen atom is the more unsaturated element and.

Obviously these equations show that the curves intersect in four points, two of which lie on the intersection of the line, 2 (g - g')x +2 (f - f')y+c - c'=o, the radical axis, with the circles, and the other two where the lines x2+y2= (x+iy) (x - iy) =o (where i = - - I) intersect the circles.

The line la+ma+ny is the radical axis, and since as+43 c-y =o is the line infinity, it is obvious that equation (I) represents a conic passing through the circular points, i.e.

A system coaxal with the two given circles is readily constructed by describing circles through the common points on the radical axis and any third point; the minimum circle of the system is obviously that which has the common chord of intersection for diameter, the maximum is the radical axis - considered as a circle of infinite radius.

In the case of two non-intersecting circles it may be shown that the radical axis has the same metrical relations to the line of centres.

There are several methods of constructing the radical axis in this case.

To construct circles coaxal with the two given circles, draw the tangent, say XR, from X, the point where the radical axis intersects the line of centres, to one of the given circles, and with centre X and radius XR describe a circle.

The radical axis is x = o, and it may be shown that the length of the tangent from a point (o, h) is h 2 k 2, i.e.

But this a clamorous radical element demanded insistently, and the issue was the chief one in Canada for half a century.

The compounds containing this radical are treated under other headings; the hydride is better known as ethane, the alcohol, C 2 H 5 OH, is the ordinary alcohol of commerce, and the oxide (C 2 H 5) 2 O is ordinary ether.

Yancey (1814-1863), they prevailed upon the Democrats in 1848 to adopt their most radical views.

The latter was able to appeal to his countrymen (in a notable speech in the spring of 1906) to rally to a radical programme which had no socialist Utopia in view; and the appearance in him of a strong and practical radical leader had the result of considerably diminishing the effect of the socialist propaganda.

All his past career and utterances seemed to indicate that he would favour the harshest measures toward exConfederates, hence his acceptability to the most radical republicans.

With the radical "Eider-Dane" party he was utterly out of sympathy; and when, in 1862, this party gained the upper hand, he was recalled from Frankfort.

He supported the repressive policy of Liverpool's cabinet, and organized the military forces held ready in case of a Radical rising.

Then began a period of radical reforms, recommended by public opinion and carried out by the autocratic power.

Though giving at first a modified support to the Reform government, he soon broke with it and became leader of the Radical or "Clear Grit" party.

Blackie was a Radical and Scottish nationalist in politics, but of a fearlessly independent type; he was one of the "characters" of the Edinburgh of the day, and was a well-known figure as he went about in his plaid, worn shepherd-wise, wearing a broadbrimmed hat, and carrying a big stick.

Leaving the consideration of radical changes of a vibrating system out of account for the present, the minor differences which have been observed in the appearances of spectra under different sparking conditions are probably to a large extent due to differences in the quantities of material examined, though temperature must alter the violence of the impact and there is a possible effect due to a difference in the impact according as the vibrating system collides with an electron or with a body of atomic dimensions.

Certain radicals have a distinctive absorption about 700 together with others about 900, and if the first be visible it almost follows that the distinctive mark of the radical with which it is connected will be found.

If we find a body containing the 740 absorption and a band with the most refrangible edge commencing at 892, or with the least refrangible edge terminating at 920, we may be pretty sure that we have an ethyl radical present.

In our own minds there lingers no doubt as to the easy detection of any radical which we have examined,.

The only trace we can find at present is in ethyl bromide, in which the radical band about 90o is curtailed in one wing.

Finally, after President Lincoln's election, he became a Republican, and as such was re-elected in 1862 to the national House of Representatives, in which he at once became one of the most radical and aggressive members, his views commanding especial attention owing to his being one of the few representatives from a slave state.

He was one of the radical leaders who preferred Fremont to Lincoln in 1864, but subsequently withdrew his opposition and supported the President for re-election.

An immense mass meeting was held on the 30th of June, which sent a committee to the king with specific demands for radical reforms. Finding himself without support, he yielded without a struggle, dismissed his ministry and signed a constitution on the 7th of July 1887, revising that of 1864, and intended to put an end to personal government and to make the cabinet responsible only to the legislature; this was called the " bayonet constitution," because it was so largely the result of the show of force made by the Honolulu Rifles.

At the Reformation the altars in churches were looked upon as symbols of the unreformed doctrine, especially where the struggle lay between the Catholics and the Calvinists, who on this point were much more radical revolutionaries than the Lutherans.

The immense Radical majority started with a feeling of contempt for the leader who had been rejected at Manchester, but by 1 9 07 he had completely reasserted his individual pre-eminence among parliamentarians.

Those bishops who, like him, had passed through the school of Lucian were not inclined to let him fall without a struggle, as they recognized in the views of their fellow-student their own doctrine, only set forth in a somewhat radical fashion.

The first state constitution of September 1776 was the work of the Radical party.

His policy was conservative and moderate, and in May 1765 he opposed Patrick Henry's radical "Stamp Act Resolutions."

Elected to the Municipal Council of Paris in 1879, he declared in favour of communal autonomy and joined with Henri Rochefort in demanding the erection of a monument to the Communards; but after his election to the Chamber of Deputies for the 5th arrondissement of Paris in 1881 he gradually veered from the extreme Radical party to the Republican Union, and identified himself with the cause of colonial expansion.

The fellow-countrymen of Stevinus were proud that he wrote in their own dialect, which he thought fitted for a universal language, as no other abounded like Dutch in monosyllabic radical words.

His action was popular, and was rendered still more so by his appointment of a radical ministry.

He was a Whig representative in Congress in 1849-1853, and was leader of the radical Whigs and Free-Soilers, strongly opposing the Compromise Measures of 1850,1850, and being especially bitter in his denunciations of the Fugitive Slave Law.

It was supported by the radical left, by a large portion of the Orthodox-Calvinists under Dr Kuyper, and by some Catholics; it had against it the moderate liberals, the aristocratic section of the Orthodox-Calvinists, the bulk of the Catholics, and a few radicals under an influential leader van Houten.

Blagden (Ber.,1900,33,p.2544), who consider that three simultaneous reactions occur, namely, the formation of labile double salts which decompose in such a fashion that the radical attached to the copper atom wanders to the aromatic nucleus; a catalytic action, in which nitrogen is eliminated and the acid radical attaches itself to the aromatic nucleus; and finally, the formation of azo compounds.

Determinations of the electrical conductivity of the diazonium chloride and nitrate also show that the diazonium radical is strictly comparable with other quaternary ammonium ions.

Hantzsch explains the characteristic reactions of the diazonium compounds ky the assumption that an addition compound is first formed, which breaks down with the elimination of the hydride of the acid radical, and the formation of an unstable syn-diazo compound, which, in its turn, decomposes with evolution of nitrogen (Ber., 18 97, 30, p. 2 54 8; 1898, 31, p. 2053).

In1832-1833the "Union" party of South Carolina was composed of those who rejected nullification, holding to secession as the only remedy; and from 1830 to 1860 certain radical abolitionists advocated a division of the Union.

To some extent Berkeley removed this radical inconsistency, but in his philosophical work it may be said with safety there are two distinct aspects, and while it holds of Locke on the one hand, it stretches forward to Kantianism on the other.

Hume sees distinctly that if conscious experience be taken as containing only isolated states, no progress in explanation of cognition is possible, and that the only hope of further development is to be looked for in a radical change in our mode of conceiving experience.

Though no radical changes have been made in the design of turbines for some years, an immense amount of skill and ingenuity has been shown in perfecting and improving details, and such machines of great size and power are now constantly being made, and give every satisfaction when in use.

In March 1839, after the dissolution of the chamber by Louis Philippe, he was elected deputy for Paris (re-elected in 1842 and in 1846), and sat in the group of the Radical Left, being one of the leaders of the party hostile to Louis Philippe.

With the sympathetic organization which made him keenly sensible of the wants of the poor, he threw himself heartily into the movement known as Christian Socialism, of which Frederick Denison Maurice was the recognized leader, and for many years he was considered as an extreme radical in a profession the traditions of which were conservative.

He looked rather to the extension of the co-operative principle and to sanitary reform for the amelioration of the condition of the people than to any radical political change.

The more orthodox and conservative elements in his character gained the upper hand as time went on, but careful students of him and his writings will find a deep conservatism underlying the most radical utterances of his earlier years, while a passionate sympathy for the poor, the afflicted and the weak held possession of him till the last hour of his life.

A radical difference exists in connexion with the method of growth, in that the plants are never grown from seed, but are always propagated from layerings.

Were the feudal tie broken, the crown must soon vanish, and the constitution of medieval society undergo a radical change.

Before the elections the Radical party broke up, as about twenty of them determined to accept the compromise.

It was, so far as now can be foreseen, the final collapse of the old Radical party.

His family came on both sides of middle-class people, and it was probably only as a joke that Godwin, a stern political reformer and philosophical radical, attempted to trace his pedigree to a time before the Norman conquest and the great earl Godwine.

He was a philosophic radical in the strictest sense of the term.

Every day the rift between the dominant radical element in the Hungarian parliament and imperial court was widened.

The possibility was obvious of combating the radical and nationalist revolution by means of the army, with its spirit of comradeship in arms and its imperialist tradition.

Meanwhile, renewed trouble had broken out in Vienna, where the radical populace was in conflict alike with the government and with the Slav majority of the Reichsrath.

The Young Czechs could not take their place; their Radical and anti-clerical tendencies alarmed the Feudalists and Clericalists who formed so large a part of the Right; they attacked the alliance with Germany; they made public demonstration of their French sympathies; they entered into communication with other Slav races, especially the Serbs of Hungary and Bosnia; they demanded universal suffrage, and occasionally supported the German Radicals in their opposition to the Clerical parties, especially in educational matters; under their influence disorder increased in Bohemia, a secret society called the Umladina (an imitation of the Servian society of that name) was discovered, and stringent measures had to be taken to preserve order.

In the early autumn, however, a radical change came over the spirit of Austrian politics.

He was sure, after his experiences at Baltimore, that a movement against slavery resting upon any less radical foundation than this would be ineffectual.

Properly triliterals, but, with the 2nd or 3rd radical alike, these coalesced in many forms where no vowel intervened, and gave the word the appearance of a biliteraL

The agitators gained their chief strength from the support accorded them by certain Radical politicians in England.

He meditated radical changes in their constitution, but death prevented the execution of his purpose.

Th is contest began in 18 2 when a com- g g g %, bination of all the Radical parties, known as the United Left," passed a vote of want of confidence against the government and rejected the budget.

But the difficulties of the ministry were somewhat relieved by a split in the Radical party, still further accentuated by the elections of 1879, which enabled Estrup to carry through the army and navy defence bill and the new military penal code by leaning alternately upon one or the other of the divided Radical groups.

After the elections of 1881, which brought about the reamalgamation of the various Radical sections, the opposition presented a united front to the government, so that, from 1882 onwards, legislation was almost at a standstill.

The session of 1896-1897 was remarkable for a rapprochement between the ministry and the " Left Reform Party," caused by the secessions of the " Young Right," which led to an unprecedented event in Danish politics - the voting of the budget by the Radical Folketing and its rejection by the Conservative Landsting in May 1897; whereupon the ministry resigned in favour of the moderate Conservative Herring cabinet, which induced the Upper House to pass the budget.

Up to that time all the leaders had been united in accepting the naturalistic formula, which was combined with an individualist and a radical tendency.

Others were the suppression of The Masses, a radical monthly, the cases of Abrams, Goldstein, Kate O'Hare, Berger, Rose Pastor Stokes, and the I.W.W.

In February 1819 Hobhouse was the Radical candidate at a by-election for the representation of the city of Westminster, but he failed to secure election.

A systematic policy of detraction was pursued by the small section of the Radical party who objected to a peer premier as such, and a great deal of adverse criticism was also aroused by a speech in which the prime minister, taunted for not again bringing forward a Home Rule measure, insisted upon the truism that the conversion of England, the "predominant partner," was a necessary condition of success.

Lord Rosebery's foreign policy, moreover, was too Tory for his Radical followers; he insisted upon "continuity of policy in foreign affairs," which meant carrying on the Conservative policy and not upsetting it.

Carlyle's confession of the radical difference of religious opinion had not alienated his friend, who was settling in London, and used his opportunities for promoting Carlyle's interest.

Carlyle was a " radical " as sharing the sentiments of the class in which he was born.

After the war of 1870-71 he took a leading place among; the most radical section of French politicians, as an opponent of the " opportunists " who continued the policy of Gambetta..

During the Nationalist and Dreyfus agitations he fought vigorously on behalf of the Republican government and when the coalition known as the "Bloc " was formed he took his place as a Radical leader.

During the great sailors' strike at Marseilles in 1904 he showed pronounced sympathy with the socialistic aims and methods of the strikers, and a strong feeling was aroused that his Radical sympathies tended to a serious weakening of the navy and to destruction of discipline.

In book I, chapters 40 and 42, it is recorded that the Infante Alphonso of Portugal suggested a radical change in the narrative of Briolanja's relations with Amadis.

On the 8th of February 1871 he was elected as a Radical to the National Assembly for the department of the Seine, and voted against the peace preliminaries.

Meanwhile, on the 10th of March 1871, he had introduced in the National Assembly at Versailles, on behalf of his Radical colleagues, the bill establishing a Paris municipal council of eighty members; but he was not returned himself at the elections of the 26th of March.

He joined the Extreme Left, and his energy and mordant eloquence speedily made him the leader of the Radical section.

At the elections of 1885 he advocated a strong Radical programme, and was returned both for his old seat in Paris and for the Var, selecting the latter.

The split in the Radical party over Boulangism weakened his hands, and its collapse made his help unnecessary to the moderate republicans.

A revolution headed by General Veintemilla, the Radical leader, then military commandant at Guayaquil, broke out in 1876, and on the 14th of December of that year the government forces under General Aparicio were completely routed at Galte.

The leaves form a radical rosette as in Primula (primrose, cowslip, &c.), or there is a well-developed aerial stem which is erect, as in species of Lysimachia, or creeping, as in Lysimachia Nummularia (creeping jenny or money-wort).

Though a strict adherent of the creed of Rome, he was a Liberal, nay a Radical, as regards measures for the vindication of human liberty, and he sincerely advocated the rights of conscience, the emancipation of the slave and freedom of trade.

He joined the radical or Fortschritts party, and in 1867 was also elected to the German parliament, but he helped to form the national liberal party, and in consequence lost his seat in Berlin, which remained faithful to the radicals; after this he represented Magdeburg and Frankfort-onMain in the Prussian, and Meiningen in the German, parliament.

Having approached the Russian ambassador in such a way as to remove the prejudice existing against him in Russia since the incident of 1867, he rendered himself eligible for office; and on the fall of the Tirard cabinet in 1888 he became president of the council and minister of the interior in a radical ministry, which pledged itself to the revision of the constitution, but was forced to combat the proposals of General Boulanger.

In 1840, however, when it began to advocate measures which he deemed too radical, he withdrew his membership, but with his pen he continued his labours on behalf of the slave, urging emancipation in the district of Columbia and the exclusion of slavery from the Territories, though deprecating any attempt to interfere with slavery in the states.

Upon the return of his rival, Crispi, to power in December 1893, he resumed political activity, allying himself with the Radical leader, Cavallotti.

His internal policy was marked by continual yielding to Radical pressure and by persecution of Crispi.

By dissolving the Chamber early in 1897 and favouring Radical candidates in the general election, he paved the way for the outbreak of May 1898, the suppression of which entailed considerable bloodshed and necessitated a state of siege at Milan, Naples, Florence and Leghorn.

At this stage collapse may set in, the patient become faint, the limbs twitch, the radical pulse become imperceptible, and unconsciousness supervene.

For this he was applauded by the radical Republicans, but his action was contrary to an act of congress of the 6th of August and to the policy of the Administration.

On the 31st of May 1864 he was nominated for the presidency by a radical faction of the Republican party, opposed to President Lincoln, but his following was so small that on the 21st of September he withdrew from the contest.

In 1775 he became chairman of the committee of public safety for Orange county, and wrote its response to Patrick Henry's call for the arming of a colonial militia, and in the spring of 1776 he was chosen a delegate to the new Virginia convention, where he was on the committee which drafted the constitution for the state, and proposed an amendment (not adopted) which declared that "all men are equally entitled to the full and free exercise" of religion, and was more radical than the similar one offered by George Mason.

Although a staunch friend of the constitution, Madison believed, however, that the instrument should be interpreted conservatively and not be made the means of introducing radical innovations.

Until the view of the individual units with which we are so far familiar has undergone radical revision, the primary inquiry must be into the forms of a class-calculus.

As interpreted it was acquiesced in or revolted from and revolt ranged from a desire for some modifications of detail or expression to the call for a radical transformation.

They in no sense constitute a school and manifest radical differences among themselves.

The radical thought of this movement was voiced in the demand of Reinhold 2 that philosophy should " deduce " it all from a single principle and by a single method.

As compared with the earlier constitution it showed many radical advances toward popular control, the power of the legislature being everywhere curtailed.

In1861-1863he was a member of the national House of Representatives, where, while advocating the prosecution of the war, he opposed such radical measures as the division of Virginia, the enlistment of slaves and the Conscription Acts.

He even became one of the securities for Jefferson Davis, thereby incurring the resentment of Northern radical leaders.

In religion as in politics Gerrit Smith was a radical.

Furthermore, the bishops being in most cases the exponents of the imperial power, the struggle for freedom from the latter ended in a radical riddance from all temporal episcopal government as well.

Long before the last stage, the rule of signori, was reached, however, the commune as originally constituted had everywhere undergone radical changes.

Many Protestants rebelled against this radical departure from the principles of the Reformation and of Biblical Christianity.

The up-country party in Virginia, with their allies along the frontiers of the other states, was now in power, and the radical of 1776 shaped the policy of the nation during the next twenty-five years.

The length L of an endless belt connecting a pair of pulleys whose effective radii are r,, r,, with parallel axes whose distance apart is c, is given by the following formulae, in each of which the first term, containing the radical, expresses the length of the straight parts of the belt, and the remainder of the formula the length of the curved parts.

Since Kant there are, therefore, two streams of dualism, dealing, one with the radical problem of the relation between mind and matter, the other with the relation between the pure rational and the empirical elements within consciousness.

With Parker Pillsbury (1809-1898) she edited in 1867-1870 The Revolution, a radical newspaper, which in 1870 was consolidated with the Christian Enquirer.

Though on friendly terms with Governor Norborne Berkeley, Baron Botetourt and his successor, John Murray, earl of Dunmore, he nevertheless took a prominent part, though without speechmaking, in the struggles of the Assembly against Dunmore, and his position was always a radical one.

Defeated on the budget in May 1887, his government resigned; but he returned to office next year as foreign minister in the radical administration of Charles Floquet.

Kuenen became interested in theology; Scholten was not then the radical theologian he became later.

The results of her study of German philosophy were seen in philosophical essays; in lectures on "Doubt and Belief," "The Duality of Character," &c., delivered in1860-1861in her home in Boston, and later in Washington; and in addresses before the Boston Radical Club and the Concord school of philosophy.

Advanced Radical ideas attracted him, and before he was 25 years old he was to the fore in political meetings.

Two questions may be put to any doctrine which professes to effect a radical change in philosophy or science.

It is assuredly little matter for wonder that this philosophy should contain much that is now inapplicable, and that in many respects it should be vitiated by radical errors.

The liquids 1 and r were brought into the system, the initial forms 11 and rh being regarded as " radical."

Under the influence of these two men, five successive popes between 1045 and 1073 attempted a radical reform; and when, in this latter year, Hildebrand himself became pope, he took measures so stringent that he has sometimes been erroneously represented not merely as the most uncompromising champion, but actually as the author of the strict rule of celibacy for all clerics in sacred orders.

The radical contrast between mechanical and spiritual religion, though fundamental for modern theology, is alien to the primitive point of view, and is therefore inappropriate to the purposes of anthropological description.

But their most radical doctrine was the rejection of infant baptism as unscriptural.

In the United States the cupola has undergone a radical modification in being built of water-jacketed sections.

In1851-1853he was superintendent of schools at Warren, Ohio; in 1853 was admitted to the Ohio bar, being at that time an anti-slavery Whig; and in 1859 was elected to the state senate, in which with Garfield and James Monroe (1821-1898) he formed the "Radical Triumvirate," Cox himself presenting a petition for a personal liberty law and urging woman's rights, especially larger property rights to married women.

He affronts every canon of taste, more by a radical absence, it would seem, of the sense of proportion than by any desire to shock.

In southern Chile the climate undergoes a radical change - the prevailing winds becoming westerly, causing a long rainy season with a phenomenal rainfall.

The Clerical influence was also thrown against him in consequence of his radical ideas in respect of Church matters.

These tendencies taken together explain the radical weakness of the Parthian Empire.

The profound reflections of the apostle on the radical antithesis of law and gospel, works and faith, were not appreciated in the and century.

The cure which is sought for may either be symptomatic or radical.

From that moment he took an active part in politics, radical journalism, literary and historical pursuits.

In less than five weeks a few thousand men properly handled sufficed to quell the cantonal risings in Cordoba, Sevilla, Cadiz and Malaga, and the whole of the south might have been soon pacified, if the federal republican ministers had not once more given way to the pressure of the majority of the Cortes, composed of "Intransigentes" and radical republicans.

But new ideas had been introduced with the new system of education, and the inevitable revolt against absolutism had resulted in the formation of a Radical party, which sympathized with the Revolution in France and carried on an active propaganda through the numerous masonic lodges which were in fact political clubs.

In 1870 the duke of Saldanha, the last survivor of the turbulent statesmen of Queen Maria's reign, threatened an appeal to arms if the king would not dismiss his minister, the duke of Louie, an advanced Radical and freemason, whose influence, dating from the reign of Pedro V., was viewed with disfavour by Saldanha, as well as by more conservative politicians.

Its more radical elepolitical ments, known at first as the Historic Left, -were in parties.

He began his political life at the age of 15 as a keen Radical, but subsequently became a convinced Socialist, a member of the I.L.P. and a member of the National Executive of the Labour party.

From 1855 to 1860 he was pastor of a new Unitarian society in Jersey City, where he gave up the Lord's Supper, thinking that it ministered to self-satisfaction; and it was as a radical Unitarian that he became pastor of another young church in New York City in 1860.

Always himself on the unpopular side and an able but thoroughly fair critic of the majority, he habitually under-estimated his own worth; he was not only an anti-slavery leader when abolition was not popular even in New England, and a radical and rationalist when it was impossible for him to stay conveniently in the Unitarian Church, but he was the first president of the National Free Religious Association (1867) and an early and ardent disciple of Darwin and Spencer.

To his radical views he was always faithful.

He was not, however, entirely in accord with the more radical members of his own party, and this difference was exemplified in his opposition to the impeachment of President Johnson and subsequently in his voting for Johnson's acquittal.

Graetz was repelled by Geiger's attitude, and though he subsequently took radical views of the Bible and tradition (which made him an opponent of Hirsch), Graetz remained a life-long foe to reform.

As he had already encouraged California to form the state government it desired, and later took a strong position against the efforts of Texas to possess itself of part of New Mexico, it was apparent that he was less inclined to favour the radical pro-slavery programme than his previous career had seemed to promise.

Agitation for constitutional reform resulted in a constitutional convention, which met at Trenton from the 14th of May to the 29th of June 1844 and drafted a new frame of government, introducing a number of radical changes.

But we are ignorant how he proposed to meet his own criticisms; and they do not appear to have suggested to him an actual departure from his master's doctrine, much less any radical transformation of it.

He had exchanged his moderate republicanism for radical views before he became war minister in the cabinet of Leon Bourgeois (1895-1896).

Lord Palmerston never was a Whig, still less a Radical; he was a statesman of the old English aristocratic type, liberal in his sentiments, favourable to the march of progress, but entirely opposed to the claims of democratic government.

The result was the utter defeat of the extreme Radical party and the return of a more compact Liberal majority.

In Congress he was conspicuous as a Radical Republican in Reconstruction legislation, and was one of the managers selected by the House to conduct the impeachment, before the Senate, of President Johnson, opening the case and taking the most prominent part in it on his side; he exercised a marked influence over President Grant and was regarded as his spokesman in the House, and he was one of the foremost advocates of the payment in "greenbacks" of the government bonds.

By the advocates of radical reforms these measures were regarded as utterly inadequate, and even in Belgium, among those friendly to the Congo State system of administration, some uneasiness was excited by a letter which was published along with the decrees, wherein King Leopold intimated that certain conditions would attach to the inheritance he had designed for Belgium.

After the death of his father, a civil servant, his mother's second marriage transferred him to Canada, where he was chiefly brought up. He came to England in 1824, was called to the bar (Q.C. 1843), became intimate with the leading radical and utilitarian reformers, was elected M.P. for Bath in 1832, and took up that general attitude of hostility to the government of the day, be it what it might, which he retained throughout his life.

He appeared in arms during the disturbances which overthrew Louis Philippe, and was elected by the department of the Ain to the Constituent and then to the Legislative Assembly, where he figured among the extreme radical party.

During the Civil War he seems to have been affiliated with the Knights of the Golden Circle, but he was not so radical as Vallandigham and others.

In time, however, the meaning of the term underwent a change, probably due to the philosophers and moralists, by whom a radical distinction was drawn between Aphrodite Urania and Pandemos.

After the end of the 4th century B.C. the institution underwent a radical change.

They are marshor water-plants with generally a stout stem (rhizome) creeping in the mud, radical leaves and a large, much branched inflorescence.

This did not satisfy the Radical Republicans, and on the issue of came of the plan, and the manner of its defeat proves that it could not possibly have been pushed to success The trouble over Lovejoy's printing office at St Louis (1833-1836) put an effectual end to the movement for emancipation.

The Radical Republicans held control until 1870, when they were defeated by a combination of Liberal Republicans and Democrats, 2 and the testoath and the rest of the intolerant legislation of the war period were swept away.

His speeches were full of knowledge of the real condition of the people, and contained something like an original programme of Radical legislation.

In 1851 control of the Massachusetts legislature was secured by the Democrats in coalition with the Free Soilers, but after filling the state offices with their own men, the Democrats refused to vote for Sumner, the Free Soilers' choice for United States senator, and urged the selection of some less radical candidate.

The system of local government has undergone radical changes in recent years.

In spite of this policy, however, the Polish element continued to gain, this being partly due to immigration over the eastern border, partly to the repressive policy of the Prussian government, which converted what had been an aristocratic opposition into one that is popular and radical.

The resultant legislature (at Pawnee, later at Shawnee Mission) adopted the laws of Missouri almost en bloc, made it a felony to utter a word against slavery, made extreme pro-slavery views a qualification for office, declared death the penalty for aiding a slave to escape, and in general repudiated liberty for its opponents., The radical free-state men thereupon began the importation of rifles.

In Kansas they were a stimulus to the most radical elements.

Lane was another radical, and always favoured force.

From about 1870 onward, however, elements of reform and of discontent were embodied in a succession of radical parties of protest.

Yet the state of the English dominions on the continent was not satisfactory; in building up the vast duchy of Aquitaine Edward had made a radical mistake.

The country which, in half-a-dozen years, had seen a radical reform of parliament, a no less radical reform of municipal corporations, the abolition of slavery, and the reconstruction of the poor laws, was longing for a period of political repose.

With their loss it involved a great radical change, which placed the working classes of the country in the position of predominance which the middle classes had occupied since 1832.

Large and radical as the measure was, reversing many of the accepted principles of legislation by giving the tenant a quasi-partnership with the landlord in his holding, no serious opposition was made to it in either House of Parliament.

This radical reconstruction of the electorate necessarily made the result of the elections doubtful.

It wits perhaps characteristic of Gladstone, though it was unquestionibly unfortunate, that, in determining on this radical change of policy, he consulted few, if any, of his previous colleagues.

The well-known theorem as to radical axes may be stated as follows.

The construction in fact is, join the two points in which the third circle meets the first arc, and join also the two points in which the third circle meets the second arc, and from the point of intersection of the two joining lines, let fall a perpendicular on the line joining the centre of the two circles; this perpendicular (considered as an indefinite line) is what Gaultier terms the " radical axis of the two circles "; it is a line determined by a real construction and itself always real; and by what precedes it is the line joining two (real or imaginary, as the case may be) intersections of the given circles.

The intersections which lie on the radical axis are two out of the four intersections of the two circles.

Observe that the radical, square root of a quartic function, is connected with the theory of elliptic functions, and the radical, square root of a sextic function, with that of the first kind of Abelian functions, but that the next kind of Abelian functions does not depend on the radical, square root of an octic function.

It is a form of the theorem for the case D = r, that the coordinates x, y, z of a point of the bicursal curve, or in particular the co-ordinates of a point of the cubic, can be expressed as proportional to rational and integral functions of the elliptic functions snu, cnu, dnu; in fact, taking the radical to be r -0 2 .r - k 2 0 2, and writing 8 =snu, the radical becomes = cnu, dnu; and we have expressions of the form in question.

By 1756 the cast of Burke's opinions was decisively fixed, and they underwent no radical change.

He was one of the organizers in Michigan of the Republican party, and in 1857 succeeded Lewis Cass in the United States Senate, serving until 1875, and at once taking his stand with the most radical opponents of slavery extension.

Throughout the war he allied himself with the most radical of the Republican faction in opposition to President Lincoln's policy, and subsequently became one of the bitterest opponents of President Johnson's plan of reconstruction.

Anyway, we must remember that radical theology had gone to much greater extremes in denial (Anomaeans - the Son unlike the Father).

We distinguish this position from the new emphasis on Christology, whether churchly or radical.

In the first he was recommended to the electors by Daniel O'Connell and the Radical Hume.

The warmth of his popularity, to which Radical applause contributed nothing in his later days, created an atmosphere entirely favourable to the quiet growth of Conservatism.

The party most pleased with the change was the Radical; the party best served was Disraeli's.