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the comforts of life, and frequently be scourged by famine. Potatoes are now fourteen pence per stone, or a penny a pound. An Irish labourer has but six pence a day, so that it will, at the present price of the potatoes, require two days, and one-third of a days labour to purchase one meal, that is, he and his family can eat but every second day, and only one meal on that day, without having any means to obtain salt, the only thing, even in times of abundance, that ever accom, panies the potatoes at an Irish peasants table. The English tradesman earns six or eight shillings a day, so that the very advanced price of Irish potatoes, can be no great inconvenience to him, and the high price tends to answer the intention of a premium to add to his enjoyment, as the vile system of Canal making in Ireland, cheapens the road to the English market.

BATTALION OF TESTIMONY-
EXCHANGE.

on the

The " 'perturbation," the treason of canal breaking, by hungry peasan.. try, has given existence to considerable speculations. The gentlemen of Westmeath having resolved at Mul. lingar, to make loyal war, offending evil doers, by the agency of a subscription purse of four thousand pounds, has had such an effect on the biblehands of the metropolis, that, an extraordinary meeting took place on Sunday, on change, to consider of the best plan for commanding operations, and special messenger sent to Tipperary, for the attendance of Mr. Kiley, and the intire mission of caravat makers, and pike finders, in that perturbed district. Biblemouth, Gribbins, Limbeilip, Firethatch ard Bulbrooks, set off in the course of the evening, to arrange matters and mark men, for the next special com. mission. As there are good rewards offered by the underwriters, there can be no doubt of victims, as ao ingenuity can be able to frustrate

the object of au unparalleled system of testimony, so ingeniously settled, that the best cross-examiner at the bar, would not be able throw a blemish on the evidences to be produced. Bible. mouth, has undertaken the training of three evidences, and is to give personal testimony himself, to facts he witnessed from his own window in Copper-alley, at the very moment they were committed, at the 16th Lock of the Canal.

MAJOR BINGHAM,

This gentleman was liberated from Kilmainham Goal, on the 28th of February, and notwithstanding the industry of our face makers, we have not been able to procure his likeness, If we are not in possession of it before the 10th of this month, we will order our Magazine agent to serve 14 days notice, for a surrender of the visage, on a penalty,

LARRY TIGHE

Yesterday, Larry Tighe, Deputy to the Town-Major, as Governor of Bridewell, attended, for the first time, at Newgate, since his appointment, to take charge of eleven females, assignto his care by the Recorder, on the last trials. The clerk counted over the female merchandize to Larry, and the Governor placed himself in a sandcart, with his pigeons, and drove off in great style to his cage in St. James', street.

OLD ENGLISH HOSPITALITY.

On Patrick's day the privates and non-commissioned officers of the Dub lin and Cork Militia regiments, stationed at Gosport, indulged themselves in the usual meriment, in commemoration of the day. Every man had a shamrock in his cap, and as far as his finances afforded, a pot and a song to the honor of poor Ireland.— Those marks of Irish barbarism excit ed nothing among the generous Britons, but marks of ridicule and ha

tred,

tred, and to make their sentiments intelligible to the brave fellows who travelled so far to defend them. The English gentlemen and ladies mounted carrots, leeks, parsnips, potatoes, and other vegetables, in their caps and hats, and at every step, derided and insulted the militia. Roused at length to anger, at the pains taken by every individual in the town, to make them objects of contempt and laughter, they proceeded to retaliate, and, in a few minutes they drove the magnanimous and thinking Britons before them in every direction, until the streets were fully discharged of the cowardly rabble, with the exception of a few, who were detained on the pavement, by the length and breadth of their honourable wounds. So thun

derstruck were the beasts at the rapidity and vigor with which they were attacked, that the boats riding at the beach were crowded with fugitives, and the masters of the ocean took refuge in the usurped element, from the enraged sons of Erin.

ARMY AGENCY.

The late proprietor of the Triangle establishment, who had been deprived of his situation as a representative of the people, by the commission of bankrupts, is, we understand, about to appear in the military world as an Army Agent. He has secured the agency of the Armed Nailors, of Kevin-street, the Upper Cross Fuzileers, the Dundrum Infantry, the Mountrath Priest killers, and the Armagh Rackers; and is promised the regiments of infantry under Marshall Beresford, when that gallant and illegi imate hero takes possession of Madrid. Mr. Hall the Boy-killer, as promised the Rotunda yeomanry to his friend, as soon as he resumes his rank, which is to be on the first day of the next shooting term, the 12th of July next.

BUILDING AND SWEARING.

A certain gentleman, whose name we are afraid to mention, because we

do not know when the whipping season may be revived, in the defence of the state; swore, on the English edition of the Evangelists, before the Irish House of Commons, of which he was a member, in the year 1795; that he had no interest, dealing or expectancy in the grounds purchased from the Commissioners of wide streets, of which commissioners he was a member. The grounds are situated in Sackville street, and subsequent to this swearing, he became a bankrupt, and again swore before the commissioners of bankrupts, that, he faithfully surrendered all his pro perty, real and personal, for the use and satisfaction of his creditors. Now, we will ask Mr. Maley, who is now building four houses in Sackville street, and Christopher M Daniel, of the North Strand, who built two houses last summer on the grounds, who gave them money, bricks, timber, and titles to build on, and occupy said grounds.

METHODISTS MISSIONARIES IN

OTAHEITA.

The

The London papers, informs us that the swalling preachers, in the Island of Otaheite, have become diatillers in the Island, as they could not inculcate the Gospel spirit, the object of their mission, they have undertaken to give the wordly one. people whom their prayers could not make converts, they are making drunk, and so far has this spirit overcome the incorrigible natives, that the Bacchanalian mysteries have so far triumphed over English christianity, that the Preachers have thought it much pleasanter and safer to be drunk with the converts, than to run the hazard of having their brains beat out, with their own big bibles.

CAPTAIN HUDDLESTONE,

This loyal gentleman has been appointed to a place in the Post Office in Dublin. The Post Office is a favourite place under Mr. Perceval, for providing with renegado papists and pa

pist

pist killers. Tom Reynolds is head of the Post Office in Lisbon, Shields, who shot a boy in Kevin Street, is guard to a Mail Coach, and Browne the Breeches maker, who shot the toy at the Pigeon-House, is now a letter carrier, and it is expected, that Mr. Hall, who was convicted of shooting young Byrne, will be shortly introced as a letter sorter, until some opportunity for placing him higher

occurs.

The late learned Editor of the Patriot.

This eloquent gentleman was very unhandsomely interrupted a few days ago, at the Pigeon House, on the precise moment he was embarking for England, for the purpose of looking for some official remuneration under the Regent, for abusing the papists, alias, the separatists, conventionists, &c. The persons who assailed the literary gentleman, were a party of the Massl-ane army, commanded by the Major's money lender, Harry Walker, the conqueror of the Cock of the North, who very readily restored the author to his native City, by depositing him in the Sheriff's hotel, in Green St. where he is in little danger of being sea-sick. The person who was the instigator of this interruption to place-hunting, and emigration, is one Dungan, a baker, in Dors t-street. There was a period in our hero's his tory, when he would punish such audacity with the triangle, but Time flies SWIFT and SWIFT lost time.

POLICE BANKING.

We have witnessed three systems of Police in Dublin, in succession, Al derman Warren was the Fouche of the first, and realized a princely fortune, by the ingenuity with which he managed the duties of his office. Ano. ther loyal gentleman succeeded him on the second improvement, and from a very limitted fortune, so conducted himself, that, he retired to take a nick name, and become a banker. A third Fouche, is as active and industrious, as his family or patrons could wish; we forbear to say any thing disrespect.

fol, of a man, who once told the government, he would not protect the government, if the government would not protect him. Vide the history of Hevey's Mare.

Justice COOMBE DRURY'S Hospital.

The opening of Abbey-street has made it indispensibly necessary to pull Marlborough-street, a few years ago down that beautiful new structure in founded by the benevolence of Justice Drury, for affording surgical relief to the poor. Yesterday the admirable. marble figure of charity, executed by the chisel of that Irish Praxiteles, the late Counsellor Adams,) which stood over the western gate, was taken down, and deposited in Larry Tighe's depot, in Jame's street; at the same time, the medicine chests made of an old hat case, and a lemon box, were conveyed to the same custody, until some eligible scite is obtained, on which they can erect another proper building.

Mr. SPRAY, the Singer's liberality.

Cahir, an Irish Harper of eminent merit, a native of Portadown, being some time Stevenson, to go to Mr. Doyle's in Mountago in Dublin, was requested by Sir John joy square, that he might have an oppor. tunity of taking some Irish airs from him. Mr. Spray, the singer of Christ's Church happened to be there. After delighting his auditors with the superior skill with which he executed every piece he touched, he was asked by Sir John to play Plearaca na Ruarca. When he had finished and every one had done paying him a well-merited compliment, what was the euloge of Mr. Spray? guess“ 'twould just fit the Irish when Bonaparte would arrive amongs them, and then began to sing it, po nting out the passage where it rises, as peculiarly formed for the ungrateful rebellious pur pose. I don't care said Sir John, it is a good tune and I'll take it down from him.

But

The reader will naturally be surprised to Kear of so great a musical amateur as Mr. Spray, treating the performance of the minstrel with such contempt. when we reflect that his n le British anorder of man in Ireland, of their lives and cestors have inade laws to deprive this properties, we can hardly be astonished that a remnant of their pure enlightened spi rit should have descended to their off ring. Mathemati al

FOR THE IRISH MAGAZINE.

MR. EDITOR,

Several Problems proposed by me some months ago, and published in your learned Miscellany, have never since been answered by any of your numerous Correspondents; nor does it appear that any attempt whatever towards solving any of my Problems have reached your office.

Under these circumstances, I feel it my duty, in justice to my learned brethren, the Irish mathematicians, and in conformity with a solemn promise I made yourself of furnishing the Solutions (in case they remained for any length of time unanswered), to send the investigations. You'll therefore have the goodness to make room in your next Number for the solution of the first of my Problems, published in the Magazine for July last, which I send you herewith. The investigation of the other Problems of mine unanswered have particular formulae, which I may safely aver, if once hit pon, will lead directly to the solution of the whole.

Now, Sir, as it is not my wish to perplex, but much more so to instruct and encourage juvenile talents, I propose a premium of the fifth volume of your Magazine to any of your Correspondents who shall furnish the best answers to my Problems be fore the first of June next, provided they bear the test of being collated with my solutions, or in other words, if they appear to be answered conformable to rules of the Algebraic art.

Solution to the Question, page 328, Irish Magazine for July, 1811.

BY MR. MORAN, THE PROPOSER.

ASSUME x and y for the Numbers sought, then per Question x+y=a x-y= b2 and x2—y2= c2=a2 12, the sum of these three squares is evidently a2 b2+a2+b2, which, by the conditions of the Problem, must be a square. Also suppose (a b-ba)2, which, being expanded, compared and rea2+b2 2:2 +20+ and y = 26+1

duced, gives a b+1, of course x= 2

=

2

2

whence x+y=12+26+1=a2 : x—-y-12 and xx-yy= i2xb+12=c2 Now a2+12+2= 14+213 +362+2b+1= d2= (¿2+b+1)2; the sum of the three Roots is 62+36+1, which must be a square by the conditions of the Question. The difference of every two of the Roots are evidently squares, except 11, which must be a square also. Hence this Duplicate equality.

62-1

Having now brought the Problem under the jurisdiction of the Diophan

145

24799 576

tine theory, we easily find = 24 wherefore, by substitution, x= 3768 which is one Answer, out of an infinite number, that can be and y= 576 given to this Problem W.W.D.

Scholium. The sum of the four Squares is evidently 22; the four Roots, 2(6+1); whence the former being multiplied or divided by the latter, the result must evidently be square numbers.

Mount Byrne Lodge, Dundalk, }

FOR APRIL, 1812, VOL. V.

JOHN MORAN,
Surveyor and Valuator of Land.

2 A

QUESTION

QUESTION BY PAT. ALLEN, PHILOMATH, PHILIPSTOWN.
How much to Mathematic art is due,

Is known to none but those whom it pursue.
Here enters, WATTY, in your page,
A work which did me long engage;
By mathematic art to scan,
Or find a worthy gentleman,
Quite free from all the base alloy,
Which would a noble mind destroys
The lower lines, when solved true,
In part the work is done by you.
Then in the alphabet with ease,
Each letter by its number place.
To shew you're skilled in mathematics,
Go on higher than quadratics :
And then his name you'll surely find,
As well known as his generous mind.

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QUESTIONS BY PAT. ALLEN, PHILOMATH, PHILIPSTOWN,
ADDRESSED TO MR. ANTHONY MANION, BALLYMORE.

I asked my love to marry soon;

She said that she would grant the boon,
Provided I'd shew straight-

(If a silver ball, four pounds or near,
Was elevated in the air,

'Till it lost half its weight,)

"How high it was, I wish to know?

"And that's the thing you are to shew :
"So tell it and prepare.

"The youth who knows things so sublime,

"Must sure be rational and fine;-.

"I'll wed him, I declare.

New Problems for the Irish Magazine.

PROBLEM FIRST.

Required two Numbers whose sum and difference are rational square Num bers, and their product plus and minus, their sum are rational square Numbers universally by the most conciae method possible?

PROBLEM 2

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