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party, and at one time every man of the expedition, except Dr. Kane and Mr. Bonsell, was laid up by this disease. To aggravate their misfortunes, there was a deficiency of fuel, and they were even obliged to adopt the habits of the Esquimaux, and live upon raw walrus flesh. As it was impossible to disengage the ship from her icebound position, it was resolved to abandon her; and on the 17th of May, 1855, the party commenced their journey to the south in boats and sledges, and finally arrived, on the 6th of August, at the north Danish settlements in Greenland, having travelled thirteen hundred miles. Here they were rescued by the American Government expedition, despatched this year in search of them. The expedition had the misfortune to lose three men, two from tetanus, and one from abscess following frost-bites. With these exceptions, the party have returned in good health, and Dr. Kane is reported to be even improved in personal appearance by his hardships.-Atheneum.

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THE POPE AND THE AUTHOR. M. DENON, the well-known savant, resided at Fontainbleau during Pius the Seventh's enforced residence there. The Pope liked him, and became intimate with hiin. Denon used to relate the following anecdote:—“The Pope conversed with me in the most familiar manner. He always addressed me by the appellation, My son,' and seemed to take a pleasure in conversing with me, especially on the subject of our Egyptian expedition, respecting which he made frequent inquiries. One day he asked me for my work on the antiquities of Egypt; and, as it is not quite orthodox on some points, I at first hesitated. But the Pope insisted, and at length I complied with his desire. The Holy Father told me he had felt much interested in the perusal; and upon my alluding to certain delicate points, he said, “No matter, no matter, my son: all that is exceedingly curious, and certainly quite new to me.' I then explained to His Holiness why I had hesitated to lend him the work; which, I observed, he had excommunicated, together with its author. • Excommunicated you, my son!' exclaimed the Pope, in a tone of the most affectionate concern: 'I am very sorry for it, and I assure you I was not at all aware of it.'” Any person who has been in Rome will remember the flabella which are borne before the Pope on all occasions of high ceremony. They are monster fans, the circumference of which is set round with eyes taken from the feathers of the peacock. An infallible Pope must, of course, be all-seeing and all-knowing; and this is what the fans full of eyes signify. Yet the owner of this remarkably liberal provision of eyes knew no more than the bird from which he borrowed them, the man whom he had excommunicated, or the book he had placed in the "Index Expurgatorius.”Bulwark.

A DEATH-BED PRAYER. One day, when all hope of his recovery had gone, the father, a man of strong feelings, entered, with a broken spirit, the chamber where he lay. The dying boy, with his tears dropping upon the pillow, was sobbing the name of his mother : “My mother! my dear mother! O, that she were here to pray for me as she used to do!”

The father bent over him, unable, for a time, to speak, but mingling his tears with those of his son. Clasping his trembling hands, and casting a look of appalling earnestness at his parent, the boy exclaimed, “ Father, I am dying with my sins upon me! I shall be lost in my present state! Send, 0 send, for some one to pray for me!”

“My child,” replied the father, trembling with emotion, “there are none but Catholic Clergymen on the island; and they cannot help you."

50, what shall I do, then, father?” exclaimed the son.

"Pray for yourself, my dear child," replied the father, unwilling to repose the destiny of his son on his own infidel views of the future.

"I do," replied the boy; "but I need the help of others. 0, can you not, will you not, pray yourself for your perishing son, father?”

The Captain felt as if the earth shook beneath him. He had never prayed in his life ; but his heart melted over his child : he felt, as by consciousness, the necessity and truth of religion. He felt that none but a God could meet this terrible emergency of man. As if smitten down, he fell on his knees by the bedside of his son. His spirit was broken ; his tears flowed like rain, and, with agony, he called upon God to save himself and his child. The family and servants of the house were amazed; but he prayed on, and before he rose, his child's prayers were heard, if not his own. The suffering boy had found the peace which passeth understanding.

He died trusting in his Saviour, and full of tranquil hope.

Oppressed with sorrow, the father did not cease to pray for himself: he was deeply convicted of sin, and before long found

peace in believing.--Sketches and Incidents.

NEW BOOKS.

(Literary, Scientific, Educational.) A Book of reference, of extraordinary elegance and great value, is presented to students of the Greek Testament. It bears a descriptive title-page : The New Testament Quotations, collated with the Scriptures of the Old Testament, in the original Hebrew, and the version of the LXX.; and with other Writings, Apocryphal, Talmudic, and Classical, cited, or alleged so to be. By HENRY Gougir. (Walton and Maberly.) A textual index at the end enables the student to find the Hebrew text in full, the Septuagint also in full, with the English translation of each; and then the quotation in the Greek, as it stands in the New Testament, with its correspondent English, as in the authorized version. The similar passages from apocryphal and other ancient writings are equally curious and useful. The notes throughout the volume are invaluable, tending to confirm the canon of Scripture, and to illustrate, most vividly, the analogy of faith,

Young lawyers who desire help to read The Institutes of Justinian have a masterly and elegant translation by ILLIAM CHAPEL, Esq., M.A., Barrister-at-Law. (Macmillan, Cambridge.)

The Tribes of the Caucasus. With an Account of Schamyl and the Murids, by BARON AUGUST VON HAXTHAUSEN, (Chapman and Hall,) is a little book, a mere appendix to the Baron's greater work

a

on Transcaucasia ; but it contains a clear account of a man and of a tribe who now bear an important part in the struggle against Russia.

The History of the Culdees; the ancient Clergy of the British Isles. By the Rev. Duncan MCALLUM. (Houlston and Stoneman.) Not indicating his authorities, the author does not enable his clerical brethren to test his accuracy, which, on this particular subject, we should much like to do. But it will interest young people to read of a class of spiritual teachers possessing some features peculiar to themselves.

The third and fourth volumes of the Memoirs of James Montgomery, by John HOLLAND and JAMES EVERETT, (Longmans,) are now out. They abound in familiar names. Two other volumes are expected to complete the memoirs, which might have been adrantageously compressed into half the space.

POETRY.

A FRAGMENT. "O that Thou wouldest hide me in the grave, that Thou wouldest keep me until Thy wrath be past."

0! hide my spirit, hide,

Till Thy great wrath be past;
Conceal me at Thy side,

And be my home at last.

Soon as this body dies,

To dust returns again,
My soul take to the skies:

'Twill be immortal then.

Be with us here below,

And make our pathway clear;
That seeing we may know,

That knowing we may fear.
Fearing, yet hoping still,

Whilst walking by Thy side,
Each word Thou wilt fulfil,
If faithful we abide.

THE WANDERER.

Macclesfield.

LESSONS.
THEORY OF NUMBERS,

Proposition 16.-Theorem. If a and b be incommensurable, each of the numbers a, 2a, 3a, ... (6-1) a, being divided by b, will leave a different remainder.

If possible, let two, xa, ya, leave the same remainder, r; that is, let

za = = mb + go

ya= nb +r: then,

(t-y) a= (m - n) 6: consequently, (x - y) a is a multiple of b; but a is prime to b, by hypothesis; therefore x - y is a multiple of b (Prop. 13); which cannot be, since x, y, and consequently x – y, are each less than b. This demonstration holds equally whether a or b is the greater.

Cor. 1.— The remainders in the proposition embrace all the numbers from 1 to 6-1 inclusive.

Cor. 2.—Let xa be that multiple of a which, being divided by b, leaves 1 for a remainder; and let y be the quotient: then,

=

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ax = by +1. Hence, the equation

ax by=1 is possible for integral values of x and y. Cor. 3.- The above equation is identical with,

by - ax = -1. Hence, by interchanging the letters, as in the demonstration a and 6 were not restricted in their relative magnitudes,

ax by=-1 may be solved by integral values of x and y less than 6 and a respectively.

Proposition 17.-Theorem.
If a and i have a common measure m, the condition

ax by=+1

cannot be fulfilled in integers.

For, if so, the left side of the equation would be a multiple of m, and not the right.

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