Purport; <<That it was expected that all Perfons fhould put themselves in the deepest Mourning (long Cloaks excepted ;) that as well all Lords as privy Counsellors and Offi. cers of his Majesty's Houthold, should cover their Coaches, Chariots, and Chairs, and cloath their Livery Servants with black Cloth; and that no Perfon whatfoever for the first fix Months put any Efcutcheon of Arms painted on their Coaches, nor ufe any varnished or bullion Nails to be feen on their Coaches, Chariots, or Chairs. His Majefty was pleafed to permit his military Officers to appear before him in Red faced with Black." His Majesty's farther Command was, "That all Lords, Privy Counsellors, and Officers of his Majefty's Houthold, who were ordered to put their Livery fervants in black Cloth, fhould alfo make them wear Shoulder-Knots or Ribbons of the Colour of their Liveries.." Thus far were the Orders of the Earl Marshal. The Duke of Grafton's Orders (as Lord Chamberlain) were for the Peers, Pecreffes, and Privy Counsellors, as follows. "The Ladies to be in black Worfted Stuff, Cambrick Linen, Crape Hoods, Black Shamoy Gloves and Shoes; Norwich Crapes for Undrefs. "The Men to wear black Cloth without Buttons, Cambrick Linen, Weepers, black Swords and Buckles, Shamoy Shoes, and Crape Hatbands.'' The Palace at St. James's will be hung in Mourning with all Expedition. His late Gracious Majefty was created Prince of Wales, Anno 1714, and fucceeded to the Crown of Great Britain, and Electorate of Hanover, on the Death of his Father George I. who died in the Night of the 10th of June, 1727. He married the Princefs Carolina Wilhelmina Dorothea, Daughter of John Frederic, Margrave of Brandenburg, Anfpach, and of Erdmonth, Louifa, Daughter of George, Duke of Saxe-Eifenach, and of Janet, Countess of Sayne, on the 22d of June, 1705; by whom he had Iffue, Frederic Louis, born Jan. 20, 1707; Anne, Oct. 22, 1709; Amelia Sophia Leonora, May 30, 1711; Carolina Elizabeth, May 30, 1713; a Prince who died foon after he was born, Nov. 8, 1716; George William, Nov. 2. 1717; William Augustus, Apr.15, 1721; Mary, Feb. 22, 1723; Louifa, Dec. 7, 1724. Frederick Louis, Prince of Wales, who came to England in Dec. 1728, and married the Princess Augufta, Sifter to the reigning Duke of Saxe Gotha, on the 27th of April, 1736, had Iffue as follows; Augufta, born Aug. 1, 1737; George, (our prefent moft gracious Sovereign), May 24, 1738; Edward, Mar. 14, 1739; Elizabeth Carolina, Dec. 30, 1740; William Henry, Nov. 14, 1745; Henry Frederic, Oct. 27, 1745. We are forry to inform the Public, that according to Letters by the laft Mail, the Ruffians, to the Amount of upwards of 30.000 Men, after fome Days of fruitles Efforts, entered Berlin in Brandenburgh, the capital City of the King of Pruffia, by Capitulation, through the Mediation of the Danish and Dutch Minifters on the 9th inft. and quitted it again on the 13th, on Report of a large Body of Pruffian Troops coming to it's Relief; yet not before they had obl ged the Inhabitants to pay a Contribution of 1,500,000 Dollars; they alfo during their Stay demolished the fine arfenal, with a large Quantity of Stores and provifions, and fome Houfes by the bombs. The combined Army of the Troops of the Empire, with a Body of Auftrian Troops, together with the Wirtemburghers, having, by their great Superiority, defeated the Pruffian General Hulfen on the 28th ult. near Torgau, that City was obliged to furrender; where were found allo a great Magazine, with all Sorts of warhke Stores. General Holfen is retreating towards Berlin. And the Austrians talk of besieging Magdeburgh. The French have evacuated Caffel. General Tottleben has established his Head-quarters in the famous Palace of Sans Soucy, near Berlin, Several Letters from Amfterdam of the 21ft Instant have a Postscript as follows — Juft as the Poft fets out we have received an Account, that the Roffiahs and Auftriars had received Intelligence that the King of Pruffia had fet out from Croffen to fall upon them; upon which they retired precipitately from Berlin, leaving behind them all their Baggage, &c. The King come up with them, attacked them and defeated them, killed a great Number, and made many pri foners. BILL of Mortality from Sept. 23, to 08.21. Chriftened Buried Males 7112 Males Under 2 years old 5971 5 and 10 Females 5022 1036 534 S Buried, 377 45 Within the walls 91 10 and 20- 54 Without 20 and 30 -115 Mid, and Sarry ESS 109 City & Sub. Weß. 231 30 and 40 40 and 50 50 and 60 60 and 70 70 and 80 80 and gogo androo 100 and 110 - 76 1387 1 Miscellaneous Correspondence, in Profe and Verfe. S For NOVEMBER, 1760. MATHEMATICAL QUESTIONS Answered. Question 294, anfwered by Mr. Robert Duncan, at Innerkeithing. Uppofe the Scheme projected on the Plane of the S M Z P Equator, of which let MP be a Quadrant. In the Ifofcele's Triangle SPC, each of whofe Sides SP, PC, 69°, 08' the Co-declination, the Perpendicular PL, let fall on SL, will bifect the Triangle: Therefore in the Right-angled Sph. Tr. SP L, are given S P = 69°, 08', and the Angle SPL = 5°, 52', half the Difference of the Times of Observation; whence, to find PSL, it is; R: Cof, SP: T, SPL: Cot, PSL 87°, 54'. 2. To find the Side SL, fay, R: S, SP: S, SPL: S, SL 5°, 29'; and 5°, 29' X 2 = 10°, 58′OS. 3. In the obl. Tr. SZ, are given the three Sides S100, 58', the Distance between the Sun' Place at the two Obfervations, Z = 37°, 27', the Complement of the greatest Altitude, and S Z 39°, 20', the Com. of the leaft Alt. Whence (by Cafe 11th of obl. Sph.) the Angle ZS is found 73°, 28'. Now OSP SZ=ZSP = 14°, 26'. 4. In the Tr. SZP, having let fall the Perp. Rr, to find Sr, it will be, R: Cof, ZSP ::T, SZ:T, Sr = 38°, 26′; and SPS Pr 30°, 42. Lastly, to find the Angle ZPS, the Time of the firft Obfervation, we have, S, Sr: S, Pr:: Cot, ZSP: Cot, ZPS 170, 24', which reduced to Time, is 1 Hour, 9 Min. 36 Sec. which fubtracted from 12 Hours, there remains 10 Hours, 50 Min. 24 Sec. the Time the first Obfervation was made; to which, adding 47 Minutes, the Difference of Time, we have 1 Hours, 37 Min. 24 Sec. for the Time of the last Obfervation. This Question was also anfwered by Mr. T. Barker, Mr. T. Adams, Mr. J. Metcalfe, Mr. T. Harris, and by Mr. Edward Boyce, the Propofer. Question 295, Answered by Mr. T. Barker, IVEN A BBC 20.124, A E:8, and BE GIVE as A B : Area. SAEZ ACCDis VOL, IL :: B 321, = A E D The The fame in a different Manner, by Mr. J. Frafer. ET ABCD be the Field given, then will the Dia defcribe the Semicircle LA OF, continue CB to O, and from the Triangle L OF, which by 31 E. 3. will be a right One, in which will be given the Hypothenufe e.. qual to twice the Perpendicular let fall from the right Angle to it; hence by the 47 E. 1. the Sides will be 28,45 LOOF, and 40,24 LF, and the Area 404,8144 Chains. This Queftion was also anfwered by Mr. T. Adams, and by the Propofer, Mr. Beekin. There were other Answers, but not right. Question 296, Anfwered by Mr. John Rofe, the Propofer. D RAW a Right Line A B for the Width draw CD Perpendicular to AB. Make CE equal to AC (because the Angles at A and Care equal.) For fince the Angle of the Interfection of the principal Rafters at their Top is go°, or a Right-angle, therefore is the Angle at A 45°, from hence becomes ACCE, and fo is AE the Length of the principal Rafter. Make CD AE, and draw DB for the Length of the Hip Rafter. Draw BI Perpendicular to BA. Alfo make BI BA, and draw A 1. Likewife let fall the Perpendiculars B", and AI, and AF on DB, and make Am AF, and draw Am and m I. So fhall the Angle Am I be equal to the Angle at the Hip Rafter, the Quantity of which may be thus found. For affume A B to be 10 the Width of the Building; then I fay, that the Square-root of 3 AC2 is = DB (per Euclid 47.1) and by Trigonometry A F is alfo found. Hence the Angle Am I is found to be 119° 58 18". W. W. R. D E F We have given the Propofer's Answer, as we e find the Queftion was not rightly underflood by the feveral Answers that were fent, differing from each other, and from this above. L Question 297, answered by Mr. Richard Ricket, at Stamford, ET AFBDH represent the two Circles interfecting each other in the Points A, and B, then will AB, AD, reprefent the two required Lines, Cc the Distance of the Centers of the two Circles. Then A E F 11.055415, then upon the Line Cc joining the two Centers let a Circle be defcribed, and let the Line Ee be drawn to cut the Line A D at Right-angles as at a, dividing the Cord Af, in two equal Parts, and Parallel thereto draw Ce, then 2 A e (AD) - 2 A a (Aƒ) =ƒD=2ae, hence ae 5.527707. Draw CE which will be ae, and the Angle C Ec a right One, and by Trig. Cc: Rad. ::CE: Sine of the 7 CCE 20° 12' 44", and Ac: Rad. ::ge: Sine g Ac 22° 53' 7", and its Cone Acg = 67° 6' 52". Then geACCE the 7 Aca= 47° 54' 08", . Rad: Ac:: 47° 54′ 8′′ (Aca): 6.67801 Aa. Then 2 Aa + Dƒ AD = 24.411435 the other Line required. And for the Area of the Segments Rad. : Ac :: s, a Ac: a c = 6.03219eb, and then the Area are found (by any of the common Rules, and fubtracting one out of another) i. e. the Area of the Segment Ab De 101.95 fere. An Bg 28.115 fere. Abfa 27.41. AbDe-AnBg= 73.84 fere AgBD. AbfBg (65.S2) fere Abf 38.41 AfBg Ab De eAfBgABg35.43 fere DB f. And by finding the Areas of the Circles, and subtracting the Segments, the two greater Segments may be found if it was required. We had other Answers to this Question, but not agre:ing with the Propofer's. Solution of the Paradox 522, By Mr. Mountfort. Daughters, and having each of them Sone produced that paradoxical Relation of the two Sons to each other. For, by that Means, Lot became, at the fame Time, their Father and Grand-father; and they were Brothers and firft Cousins to each other; alfo each Mother was Aunt to the other's Son. See Genefis, Chap. 19. Verse 31. to the End. New QUESTIONS to be answered. Question 305. By Mr. Thomas Robinson. T WO Ships, both at one Port, in 20 30' North Latitude, and are bound to tw Ports, lying under the Equinoctial, whofe Distances from each other is computed to be 13 Leagues, the firft Ship fails away between the South and Weft, the other Ship between the South and Eaft, making an Angle of 98° 48' between their Courfes. Query each Ship's Courfe and Distance failed to their intended Ports by plain failing? TW Question 308. WO Men bought an equal Number of Sheep, and it being demanded of them, what they gave apiece for their Sheep in each Parcel, it was answered, that, if the Number of Sheep each of us bought, be feverally multiplied by 24 and 2, 49 being refpectively added to, or fubtracted from each Product, both the Sum and Remainder will be equal to the Square of the Shillings given apiece for the Sheep in each refpective Parcel. How many Sheep did each Perfon buy? And what did each Parcel coft at the cheapest Price? For fo every Man would buy. A Computation of an Eclipfe of the Moon, which happens May 18, 1761, from Dr. Halley's Tables. By Mr. J. Mafon, of Stretton. I Am fold, that Mr. Walker, in his better to your fans, that my question was effen, tially the fame with Mr. Bevill's 11th Question in the Gentleman's Diary, 1760; which if fo, he appears to be no Judge of the Matter; because 'tis evident these Questions are very different. T. TODD. Occafioned by the Death of his late moft facred Majesty King GEORGE IId, of ever-blessed Memory. Quo nibil majus meliufve terris Hor. B. iv. Ode 2. WHY prefs' d, HY, fad Britannia! why fo foon de Whom heav'n fo late with num'rous triumphs blefs'd? Why all thy glory fully'd now by woe? For the difgrace which funk the British name! Who fought like Britons, or like Roman: dy`d. The happiness of all his subjects fought; Griev'd at the wafte of treature and of blood, He knew no glory but his people's good. 'Twas this with pleafure crown'd his hoary years, His daily labours, and his midnight cares: This deep on ev'ry heart his worth imprefs'd, And raised a throne in ev'ry Britifb breast. Ah well may Britain now her loís deplore, The Father of bis people is no more! Lo! Europe weeping o'er the royal bier, And kings, and kingdoms, pour the gen'rous tear! |