VIII. QUESTION 441, by Mr. Lionel Charlton. TT being a common Practice, among Ship-Chandlers, to make their Log-Lines 42 Fect long, and their Half-minute Glaffes 28 Vibrations of a Pendulum, whofe Length is 38 Inches and Half; Quere, how far a Ship's Reckoning will vary from the Truth, that uses only thefe,and fails by Mercator on one Rhumb from the Lizard to the Capes of Virginia? Given F IX. QUESTION 442, by Mr. J. Wilfon. To find x and ≈, without having the Root {x2x+x-x=; } than a Quadratic. X. QUESTION 443, by Mr. H. Watfon. ROM the Equation 44000 xx+1=xx, to find both ≈ and in whole Numbers. XI. QUESTION 444, by Mr. Fr. Bell. A Gentleman having in his Garden an cluptical Four Way to be greater Diameter is 30, and the leffer 24, Feet, orders a Free-stone-Walk to be made round it, to be every where of an equal Breadth, and to take up just the fame Quantity of Ground as the Fountain itfelf: Quere, what must the Breadth of the Walk be? XII. QUESTIÓN 445, by Plus-Minus. ONE Morning last Summer, being in a Gentleman's Garden, I faw a very good horizontal Sun-Dial, which was not fixed down, but neatly let into the Poft on which it stood: Taking hold of the Gnomon, I pulled it towards me, thereby elevating the South Side of the Dial, ftill keeping the Gnomon in the Plane of the Meridian: Upon this, the Shadow came forward from the Hour-Line of 7, till it marked 7 h. 40 m. and no nearer to the Meridian, or 12 o'Clock, would it come; for, if the Dial was farther elevated, it turned back again: Now the Day of the Month (which I have forgot, and for private Reasons fhould be glad to recollect) is here required. XIII. QUESTION 446, by Mr. Patrick O'Cavanah, of Dublin. How must I inclofe an Acre of Land into a Garden, with a Fence of 80 Poles in Circumference, fo as to be able to form therein the longeft (ftraight) Walk poffible, and what will that Length be,fuppofing the Breadth of the Walk to be 10 Feet? XIV. QUESTION 447, by Peter Walton, DisCIP. LANDENII. *A Chain, 10 Yards long, cutting of podchody mall equal Links, being laid ftraight on an horizonta! (perfectly polished) Plane, except one Part, a Yard in Length, which hangs down perpendicularly below the Plane: In what Time will the fail Chain (drawn by the Gravity of the defcending Part) entirely quit the Plane? PRIZE-QUESTION, by Mr. G. Witchell. (Whoever answers the fame before Candlemas-Day bas a Chance for Twelve Diaries.) T O determine the nearest Distance of the Orbit of the expected Comet from that of the Earth, together with the Longitude of the Earth and Comet in that Situation, fuppofing, 1°.That the Orbit of the Earth is a Circle. 2°. That the Trajectory of the Comet is a Parabola, whofe Focus is the Center of the Earth's Orbit. 3°. That the perihelion Distance of the Comet is to the Radius of the Circle, as 0,5868 to 1. 4°. That the Inclination of the Planes is 17° 2′; the Place of the Perihelion 3° 30′, and that of the descending Node M, 22° 13′. ERRATA. The fecond Sheet of this Diary having been (inadvertently) put to the Prefs without being firft fent to be revifed by the Author, the following Errors, with fome others of leis Confequence, have escaped Notice: Page 17, line 12, for Meat, 1. Meal; p. 18, 1. 17, for Metal, r. Mettle; p. 19, 1. 9, for Curtain, r. Curtains; 1. 123, for when, r. where; p. 20, 1. 15, after Ambition, r. Envy; 1. 36, for send, r. spend; p. 24, 1. 7, for grow, r. grew; p. 26, I. 27, before we, r. for; p. 27, 1. 16, for ye, r. the; p. 28, 1. 33, for flitring, r. flitting; p. 29, 1. 12, for its, r. it; p. 32, 1. 17, for ADE, 7. DAE; 1. 50, for 2a, r. 2 c. In the Cut, p. 32, the Tower's Height fhould termi nate at C, CF not being confidered as a Part thereof, but only as an imaginary line, equal to ED, ERRATA in the last Year's DIARY. Page 18, 1. 23, for Canons, r. Cannons; p. 27, 1. 20, for conbine, r. combine; p. 29, 1. 29, dele you; p. 30, 1. 18, for a Pece, r. a-piece; E. 37, 1. 17, r. BF and BE; p. 44. 1. 5, r. Number whofe Hyp. Log. is pz; p. 46, 1. 9, for North, r. South; p. 48, I. I, for was, r. were. An Alphabetical Catalogue of the Contributors to this D ́ary ; wherein the Numerical Letters, i, ii, iii, &c. fhew which Enigmas, and the Figures 1, 2, 3, &c. which Questions, each answered; Æ. Q, and P. denote the Solution of the Prize-Enigma, Prize Question, or the Propofing fomething new; q. p. r. and b. respectively fignify the Explanation of the Queries, Paradoxes, Rebufes, and the Catalogue of Birds. MaMe. Mr. W. Allen, 1, 2, 3, 6. Aminias all E. P. Mr W. Bacon all Æ. TR. Morris Applin all E. P. Abaofilia all Æ. r. b. P. Acteon all Æ. Aimwell b. 1. P. Mr T. Baker al E. o. P. Mr Sam. Bamfield all E. P. Mr. W. Bamfield all . r. p. 1. Mr Ja. Bank 1, 2, 3, 5, 7, 8, 9. P. Mr T. Barker 1, 4, 5, 8, 9. P. Mr Edw. Barras ali . 1. Mr T Baxtonden 1, 2, 3, 4, 5, 6, 9.. Mr W. Bayley all . b. r. 1. Mr Fra. Bell moft . . p. 1. P. Mr Jof. Bel all . Mr S. Bentley all . Mr Ja. Beresford all . 1, 2, 5. Mr Berington b. r. P. Mir For Butcher P. Mr R. Butler 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 11, 12. P. Mr W. Bevil all E. 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11. Birchoverenfis all E. 1, 2, 3, 4, 5, 6, 7, 8. Calophilus all E. P. Mr. O'Cavanah all Q. P. MJ. Chapman 1, 2, 9. . ML. Charlton all . b. 6, 9, 10, 12. P. Caelia all Æ. P. Mr G. Clarke all . r. b. I. P. Mr E. Cock all . 1, 6. Mr T. Corbett al E. r. p. P. 1, 2. M. Nath. Cory moft . b. Mr W. Davies Æ. 3, 6, 7, 8. M. Eliz. Daunce P. Mr W. Dennis al E. P. Dorinda all . b. Mifs D. Doubleday all Æ. P. Mr J. Dyke all Æ. r. P. Endymion . P. Mr Ja. Fellows I, 6, P. Mr J. Fletcher all Æ. r. b. 1. Mr R. Flitcon 1, 5, 6. Mr Zach. Gaskell, Q. Mr Sam. Gawthorpe all . r. b. P. Tempus Geographicus P. Mr Rich. Gibbons all . p. r. b. P. Mr Ja. Giles 1, 2, P Mr J. Gutteridge all A. Cal. Eclipfes. Mr. J. Hampion 1, 2, 5, 6, 9, P. Mr E.Hare,1. Harrior. P. Mr W. Harrison 1, 5, P. Mr J. Herrington all . r. 1, 2, 5. Mr. G. Hicks 1, 2. Mr R. Hind P. Mr Ja. Honey 1, 2, 5, 6, 9. Mr T. Howe all E. 1, 2, 6, 9. Mr Sam. Hofmar b. moft . Mr R. Hoare all E. Mr W. Honnor I, 2, 6. Miis Hoyden all Æ. Mr R. Hudfon all Æ. 1, 2, 5, 6. Mr J. Hudion, P. Mr T. Jeffery Æ. . I. 2. Mr W. Ingram all . P. Mr French Johnfon all . b. Mr J. Johnfon all E. r.b. 1, 3, 6, P. Mr Eyre Keaj ali . 1. Mr W. Kingston all . 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11. P. Mr T. Knight all . 1. Legifta, all AE. b. Mr E. Langworthy all . r. p. b. Mr W. Lition all . r. p. Eclipfes 1, 2, 5, P.. Lucinda all Æ. Mr W. Lucas all Æ. 1, 2, 3, 4, 5, 6, 7, 8, 9. Mr F. F. Mangle all . r. b. P. Mr R. Mallock all Æ. 1, 4, 5, 8, 9. Mr Robert Marshall all . p. b. I. Mr W. Marshall all Æ. 1, 4, 5. Mr Chrif. Mafon all . q. r. p. b. P. Mr W.. Matthewfon al Æ. 1, 5, P. Mr J. Milbourn 1, 2, 4. Plus-Minus E. P. Mr Ant. Moore all E. P. Mifs Sally-Anne Morris E. Mrs Cordelia Nottingham all . Mr Geo. Nokes all . b. P. Mr Herbert Nokes 1. Mr J. Nunn all Æ. P. Mr T. Ofborne all . P. Mr J. Pearce 1, 5, 6,9. Mr J. Peirce all . r. p. P. Mr J. Pennel . p. Penovius 5, 6, 7, 8, 9, 10, P. Philadelphia all . but vi and vii. r. b. Philo P. Mr. Ralph Ramfay Æ. Mr J. Randles E. P. Mr J. Rennard all . r. 1, 2. Mr R. Richardfon 1. 5. P. Mifs Efther Rickaby all Æ. Mr Jof. Rofe г. Mr Alex. Rowe 1, 5, P. Mr T. Sadler all . q, r. p. P. Mr T. Sande:fon all Æ. P. Mr T. Sandling all . r. 1. Mifs T. S---e 1. P. Mr Jof. Scott a 1 Æ. 1, 2, 5, 6. P. Mifs Lucy Selby all . r. p. b. P. Gentle Shepherd all E. Sinbad 1. Mr T. Sims 1,2. P. Mr W. Smith . Mr H. Seafon all AE..p. Mr W.Spicer 1,2,3,4,5,6,7,8,9. P. Mifs Dolly Spinfter all E. P. Mr H. Stephens 1, 2. Mr J. Stewart all E. P. Mr W. Stoker all Æ. 1, 2, 4, 5, 9. Mr G. Stapley all . r. b. 1. Mr J. Stothart 1, 9. Mr W. Swift all Æ. r. P. Sylvius AE. Symonfide all AE. Mr Ifaac Tarrat all ÁE. P. Mr ja. Taylor all AE. P. Mr John Taylor all AE. r. Mr W. Terrill 1, 2, 5, 6, 9. Cal. Eclipfes. Mrs Grace Tetlow all AE. Thisbe all AE. Mr J. Thomp fon 1, 5, 6, 9, P. Mr J. Thorne moít AE. P. Mr Sam. Towndrow 4. Cal. Eclipfes. Mr E. Tyro all AE. Mr T. Vall AE. b. P. Mr T. Vicary AE. Mr P. Walton 6, 12, 13. P. Mr R. Walton AE. p. r. 1. Mr Edward Warman all AE. P. Mr J. Webster all AE. b. P. Mr Fr. Wefton all AE. b. P. Mr J, Wilfon 1, 2, 3, 5, 78, 9. P. Mr T. Wilion I. r. P. Mr J. Wolcot P. Mr. W. Wyld all AE, b. P. Mr Richard Yerburgh all AE. b. 1, 2. PALLADIUM, GER. For the Year of our Lo R D, 1758. CONTAINING, NEW IMPROVEMENTS in SCIENCE. A Royal CHRONOLOVERSES to the Memory of the late HORATIO Lord WALPOLE, a public BENEFACTOR. Or the Nature of God, SPIRIT, and MATTER. OF COMETS; and of the COMET, expected to return this YEAR. Aftronomical TABLES and EQUATIONS. Perpetual TIME-TABLES, or RULES for Almanac Makers, Hiftorians, and Chronologifts, either according to OLD OF NEW STILE; Particularly useful for all Perfons employ'd to write Almanacs by the Stationers Company. With a Law-Parador. Remarks on the late Bishop of Cloyne's Principles of Human Know-i The Tenth Number publifh'd. Aut difce aut difcere.- The cafe confears he blame hee not for Herbeffüller Sc Wherein to read his wond'rous Works, and learn His Sealons. Hours, or Davs, or Months, or Years. MILTON. 榮榮 The Goddess your Entrance invites, 6. 7. Your Names in her Temple record, Double arm'd, you will kill us out-right. Your Learning then brings up the Rear, What Chance have we now with the Fair? 8. Your Sifters, the Mufes, have wreath'd The Garlands your Temples that bind, Apollo, your Father, has breath'd 9. IC. II. The Fire that enlivens your Mind: The Graces, with ftudious Care, Have render'd you sweetly complete, Your Foibles (if any there were) We now must for ever forget. If Poetry kindle the Fire, And Friendship or Love be the Theme, 12, Your * PALLAS was the Goddess of War and Wisdom, and the Palladium was the Statue which the Trojans believed fell from Heaven into ber Temple, before it was covered and they were told, by the Oracle of Apollo that the City of Troy fhou'd be inexpugnable fo long as that was with them. When the City was taken neas carried it away with bis Tutelar Gods into Italy, and fixed it at Rome, and bad feveral Counterfeit-Ones made like it to prevent the true one from being stolen. CHRONOLOGICAL NOTES for 1758. Dominical Letter, N. S. A | Palm Sunday Old Stile D EASTER Low Sunday Rogation Septuagefima Sunday Jan. 22 Afcenfion-Day Sexagefima 29 Whitsunday Quinqua. or Sbrove-Sund Feb. 5 | Trinity Sunday Quadrag, or ift Sund. in Lent 12 | Correfpondents are defired to direct their Letters to the Author of the Palladium (franked or Poft paid) to be left with Mr. John Marchant, on Clerkenwell Green, near Red-lion Street, London. And any of the Diary Correfpondents directing their Letters to the Jame Place fhall be obliged. The ROYAL CHRONOLOGER for the YEAR 1758: Being a MEMORANDUM of the Holidays, remarkable Days, Birth-days, &c. |