MATHEMATICS. SOLUTION OF QUESTIONS IN LAST NUMBER. HERE 8d. the deficiency at 3d. a-piece, being added to 3d. the overplus at 2d.; and their sum divided by 1 (the difference between 3d. and 2d.) gives 11, the number of beggars required.-General Rule: -Divide the sum of the deficiency and overplus by the difference between the sum proposed and that given to each person, and the quotient will be the number required. Solution of Question 5th, by Mr. Matthew Paxton, Etal. As the expense of digging the pond at 3d. a solid yard, and that of enclosing it at 16s. a lineal yard are to be equal,-by dividing 192, the pence in 16s., by 3d. we obtain 64 as the proportion of solid yards in the pond to one yard of its periphery ;—and 64 being divided by 3 (the depth of the pond in yards) gives 21 yards as the proportion which the area of the base, or superficial area of the pond one yard deep, bears to one yard of its circumference ;-whence the question is merely to find the diameter of a circle, whose area is to its circumference as 21 to 1. Now, as the area of any circle is always equal to the rectangle of its circumference and one-fourth of its diameter,-it is evident that 21 yards are equal to of the diameter of the pond; and, consequently, by multiplying this number by 4, we obtain 85 yards or 256 feet for the diameter itself, which being multiplied successively by 3.1416, 211, and 3, we have 268.0832 lineal yards for the circumference, 5719.10823 square yards for the superficies, and 17157.3248 solid yards for the content. Hence either 268.0832 yards at 16s. or 17157.3248 at 3d. give £214 9s. 3 d. 0.8976 for the expense. -- Solution of Question 6th, by Mr. W. Weatherhead, Teacher, Swinton. : As 90° (radius): cot. (azimuth) 59° 1' 27" :: cot. 37° 30′ (=2 hours, time from 6): sine 51° 28′ 22′′, latitude of Greenwich, the place left. Then, As 90°: cos. 51° 28′ 22′′ :: diff. long. in miles (350) 218 miles, distance between the meridian of 0° and 5° 50′ in latitude 51° 28′ 22′′. Again, As 236.7: 90°:: 218: sine 67° 4′ 44′′ bearing of the place arrived at from the place left. Lastly, As sine 67° 4' 44": 218 :: cos. 67° 4′ 44′′: 92. 168: = 1° 32′ 11′′ difference of latitude, which taken from the latitude of Greenwich gives 49° 56′ 11" latitude of Land's End (nearly), the place arrived at. P. S. The Wolf Rock and Lizard Point are nearly of the same latitude as that found by calculation: which of the places are meant, I am not certain. We have also received solutions of the foregoing as follow:-of Q. 4th by Mr. Giles, Mr. Weatherhead and Mr. Ingram; of Q. 5th by Mr. Ingram, (who will observe a slight difference in his result) and Mr. Giles; and of Q. 6th only the one published. Our mathematical friends will see the propriety of postponing additional Questions for Solution till the commencement of a new volume. REGISTER OF BIRTHS, MARRIAGES & DEATHS. 339 LITERARY GOSSIP AND VARIETIES. Mr. BURNET, bookseller, Leith, is preparing for publication-and for this purpose has engaged the services of a talented Editor-The UNKNOWN POETS of SCOTLAND. The object of the contemplated work is, in the words of the publisher, "to rescue from obscurity and neglect, in so far as it may be competent to effect that end, the merits of men of genius, whose modesty or whose unfavourable position in the world has hitherto debarred them from doing this justice to themselves; and who, from these circumstances, or from others equally depressing, might otherwise sink into the grave unnoticed and unknown." Along with the specimens, it is intended to give biographical sketches of the authors, in such cases as the authors themselves will permit, or the interest connected with their lives shall demand. Mr. Burnet concludes his prospectus with soliciting the favour of communications from humble and retiring merit, either immediately through the individuals in question, or their friends. 6 Register of Births, Marriages and Deaths. BIRTHS. Here, on the 26th ult., Mrs. Thomas Bogue, High-street, of a daughter. At 29, Regent Terrace, Edinburgh, on the 27th ult., Mrs. M'Gilchrist, of a son. Here, same day, Mrs. Patrick Clay, Union-street, of a daughter. Here, on the 7th inst., the lady of Captain Raynis, 42d Royal Highlanders, of a son. MARRIAGES. At Edinburgh, on the 20th ult., Mr. Alexander Wilson, tenant in Whitrig, Berwickshire, to Janet, second daughter of Mr. James Glasgow, Edinburgh. At Swinton, on the 24th ult., by the Rev. Mr. Lee, Mr. William Gilhome, Alnwick, to Isabella, second daughter of Mr. Bookless, merchant, of the former place. At Kilmarnock, on the 26th ult., by the Rev. Mr. Smith, Mr. John Hill, merchant, Kelso, to Ann, daughter of the late Mr. James Mill, distiller, Old Rome. DEATHS. At Plymouth, on the 12th ult., George, only son of Mr. William Bell, innkeeper here, aged 34. At Southampton, on the 14th ult., Frances, the youngest daughter of the late Capt. William and Lucy Baird, and sister of Sir James Gardiner Baird, Bart. of Saughton-hall, Mid-Lothian. On the 15th ult., Mr. Robert Taylor, tenant of Paxton North Mains, in his 84th year. At Etal Moor, on the 16th ult., Mr. William Dixon, farmer, aged 86. At Eccles Tofts, on the 23d ult., Miss Hogarth, aged 45. In Berwick Workhouse, on the 29th ult., Mr. John Moscrop, aged 77. He was many years a teacher in this town, and once possessed a library seldom equalled in point of numbers or value, especially in a private station. The bibliomania clung to his constitution till the last. At her house in Union-street, on the 2d instant, Miss Armorer, aged 80. At Sheffield, aged 37, George C. Brown, M. D., only son of the Rev. Dr. Andrew Brown, professor of rhetoric and belles lettres in the University of Edinburgh. At Haggerston, on the 4th inst. the Rev. Mr. Tidyman, pastor of the Roman Catholic congregation there, aged 71. Here, on the 6th inst., Elizabeth, wife of Mr. William Smith, cooper, aged 55. Here, on the 11th inst., Agnes, wife of Mr. Thomas Alexander, cooper, aged 34. In Northumberland street, Newcastle, in the 52d year of his age, Christopher Cookson, Esq. Recorder of this Borough, and also of Newcastle, much respected. To Readers and Correspondents. H. P. is assured that the statement which startled him is a plain unvarnished fact, for the truth of which we appeal to the confession of the yet surviving and astonied compositor. If N. P. will favour us with his real name, which shall not be divulged, he may expect to have a page allotted to the lines he sent us some months ago. Let the patience of our numerous poetical contributors hold out a little longer, and they shall speedily and in good earnest have justice administered to them. M. J. is under consideration; likewise a paper which, whatever be its other merits, we certainly regard as a literary curiosity. An English essay by a German is not an every-day publication; at present we may only express a hope that this foreign friend and our readers will be better acquainted ere the lapse of many weeks. Several articles forwarded in company with the foregoing met a hearty welcome at NESTOR HOUSE. We are grievously disappointed at the non-arrival of Mr. Mallock's volume, which prevents us from fulfilling a recent promise. Several articles in readiness are unavoidably postponed for want of room. The present Number concludes the FIRST VOLUME; and it is intended that the SECOND VOLUME shall be completed at the end of the year, when Title-pages, Index, &c. will be given. End of the First Volume. D. CAMERON, PRINTER. |
