Why need we, in a life so short, Cares, swifter than the eastern wind, The mind with present joys elate, None is, however, truly bless'd: Time, whom no mortal can withstand, Thy lands support a num'rous herd, To me is giv'n, by certain fate, Th' enjoyment of a small estate, And pride to scorn the vulgar mind. Other good TRANSLATIONS were sent by Miss Abigail Kemp, Homerton, Attested by Mrs. Batt. Master John Smith, Renhold Vicarage, TRANSLATED by Miss M. R. Hough, London, who is requested to send for any book she may choose, the price of which does not exceed seven shillings. THE GOOD MOTHER. BEHOLD a tender parent's smile, Amidst her youthful offspring bless'd; Now on her knee a babe she holds, In all their pleasures and their sighs, To kings, and tenants of the cot. He kindly hears their simple prayer. And oft a happier boon supplies; ARTICLE X. "ON FRATERNAL LOVE," by Miss Groves, Spalding Seminary, who is requested to send for any Book she may choose, the price of which does not exceed five shillings. AMONGST all the placid virtues which adorn the minds of youth, friendship and love between brothers and sisters may be considered the most capable of exciting admiration, and also of affording inexpressible delight. For by being mutually charmed with each other's society, peace dwells in our bosoms; and by being acquainted with the means of alleviating the troubles, and contributing to the felicity and pleasure of each other; transport fills our hearts when we perceive that, by any exertions of ours, we can render each other still more comfortable and happy. And should our aged parents, who have brought us up, and soothed us in all our infantile afflictions, be still alive, what an inestimable source of enjoyment will it be to us, to be able to reward their pious and tender cares, by enabling them to be partakers with us in the mutual love and happiness which we evince in the society of each other. As the cooling shade refreshes and invigorates the weary traveller, after he has borne the labour and heat of the day; so does love between brothers and sisters enable their venerable parents to bear the heavy burden of declining age with cheerfulness and sasisfaction. Timoleon, the Corinthian, is an excellent example of fraternal love: for being engaged in a battle with the Argives, and perceiving his brother fall down dead with the wounds which he had received from the enemy, he immediately leaped over his dead body, which he defended with his spear from plunder and insult; and, although grievously wounded in this generous enterprise, he would not retreat into a place of safety until he had seen the corpse carried off the field by his friends. Let the bonds of affection unite thee with thy brothers; that peace and happiness may dwell in thy father's house." If thy brother is in adversity, assist him; if thy sister is in trouble, forsake her not." It is easy to suppose from hence, that those parents who see their children flourishing around them, and crowning the hours of their past solicitude with the firmest and most sincere love to each other; must experience such unspeakable pleasure, as is entirely unknown to those who perceive peevishness and discord reigning amongst their offspring. Attested by Miss S. and I. Hebard. Other good THEMES were sent by Miss Lathem, Miss Willerton, and Miss Green, Attested by Miss S. and I. Hebard. ARTICLE XII. QUESTION I. Answered by Masters Atkin, Sheffield Academy; J. Bramall, Lingarswood; Richard Nicholson, Horsforth; and S. Stead, Farnley. In the triangle ABC, (which any one may easily make) let ADDB=20, AC 30 and C D = 25; then (Hutton's Geom. 38) CB2 = QA D2+Q D C2 – AC1150; therefore BC1150 33.9116; and now having the three sides given, the area is found = 496.06849a. 2r. 17 p. Again, by Master J. Lamb, Townhead Academy, Rochdale. Put BC then x2 + 302 (202 + 252) × 2, and r = √(2050—900) 33.91165; whence the three sides are given to find the area 496.07 49a. 2r. 17p. It was answered also by Master Macann, Lutton; Master Burnell, Master Wheatley, and Master Beverley, of Wortlery Academy; Master J. Wadsley, Surfleet Academy; Master W. Harrison, Burton Pidsea; and Master Hamer, Liverpool. QUESTION 2. 3. Answered by Master Bramall, Lingarswood, near Huddersfield. If a square be inscribed in a circle, the diameter will be the diagonal, but if circumscribed, the diameter will be the side; therefore, the ratio will be the same as the square of the side to the diagonal, which is always as 1 to 2. Otherwise by Master J. Lamb. Let the side of the inscribed square=1, then the sum of the squares of the two sides is 2, which is the area of the circumscribing square; hence their proportion is as 2: 1. This question was answered, also, by all those young gentlemen who answered the first question. QUESTION 3. Answered by Master J. Bramall and Master J. Lamb. GENERAL RULE.. Multiply all the prime numbers, and the roots of such as are square or cube numbers continually; the product less one will be the number required.-(Vyse's Arith.) Thus, (2 x 3 x4)-1=11, the number sought. Again, by Master Atkin, Master W. Harrison, Master Macann, Master Nicholson, and Master Wadsley. X Let x be the number, then 1, 2 and 23 2 x-1 3 4 must be whole numbers;, put=p, then, x = 2p + 1; substitute this for r in the second, and 21 – 3 |