VIII. Quere 42. By Honeftus. HOW must a Man behave, with Regard to his Affociation with the Female Sex, agreeable to the Laws of GOD and Man, who is married, and his Wife turns out a Profitute, and lives in a State of Separation from him, by her own Choice? IX. Quere 43. By Mifs Manlove. WHAT Caufes can be affigned for the unnatural Difpofitions to Inceft and Sodomy? X. Quere 44. By Mr. Alexander Drummond, A. M. WHETHER the Sagacious DoCTOR O PEEPER, Brumptonienfis, the accomplish'd Kentish Fidler, who has lately acquired the Secret of detecting French Spies, is not himself an Hibernian Spy among the English Ladies ? Whoever anfwers the following, before the End of January next, has a Chance, by Lot, to win a Dozen Palladiums. Metaphyfical PRIZE-QUERE. BY XpovovμovovπußXING. WHAT is the Nature of Thought, and how does it depend Whether the Life of Beings of all Ranks does not depend on the Consciousness of Pleasure and Pain, and on fome particular Mode of Motion inherent to the conftitutional, or effential Subftance of each particular Being? And as the Ceflation or Mutation of Being is obferved to happen at the Ceffation of Motion, in all vifible Beings, by whatsoever Caufes produced! How does the Confcioufnefs of any Being exist or depend, when all visible Motion in that Being is stopt? NEW QUESTIONS, (for the Exercife and Improvement of the Invention, REASON, and Judgment,) to be anfwered in next Year's PALLADIUM. I. QUESTION 58. By Mr. T. Cowper, Teacher of INGENIOUS ARTISTS be pleas'd to declare, II. QUESTION 59. By Mr. John Richerby, of Wooburn, OF four Paper-Makers, (A, B, C, D,) A can make a Poft of Paper by Himself in 20 Minutes; B in 25, and C in 30 Minutes; but when all work together they can make the Poft of Paper in 7,6928 Minutes; Quere, how long Time would it take D, by Himself, to make the Poft of Paper? III. QUESTION 60. By Mr. Phil. Williams, of Pitchford. Which were three Times the Cabbage, at first, I'll maintain. IV. QUESTION 61. By Mr. Jofeph Orchard, of Gosport. A Gentleman has three Daughters, whofe Ages are expreffed by x, y, and z, respectively, he defires to know their Ages, from thefe Equations, xx+xy+yy=36, xx+xx+2)=34, and yy+yz+z21. 32; and that the ingenious Artift would conftruct the fame geometrically. V. QUESTION 62. By Mr. Little Hoole. TO determine at what Distance from the Foot of an Object, erected perpendicular to the Plane of the Horizon, a Mufquet with a given Charge of Powder, must be difcharged, that the Ball thereof may frike the faid perpendicular Object 40 Yards high from the Horizon, with the greatest Force poffible? The Force of the faid Ball in the projected Direction, to where it ftrikes the Object, being fuppofed as the Distance defcribed inverfely; difregarding the Earth's Attraction during the Interval of that Ball's Paffage, 'till it meets the Object. VI. QUESTION 63. By Mr. Randles, of Wem. THE Area of a right angled Triangle is 600 Poles, and the Sum of the three Sides 120 Poles, required the Separate Sides, by a Simple Equation? VII. QUESTION 64. By Philofophicus. WHICH is the biggeft, a Guinea, or a Shilling? and what is the Difference in Parts of a Solid Inch? VIII. QUESTION 65. By a Lincolnshire Goffard, IN Lincolnshire, here bounteous Nature yields Fat Sheep and Oxen, and luxuriant Fields; Our generous Clime replete with rofy Health, Choice Friends afford, bright Fair, and plenteous Wealth. Some Fenny Ground have we with Flocks of Geese, Yielding five Times a Year their feather'd Fleece; On which, devoid of Care, Swains fleeping lie, After Repaft of favoury Giblet-Pye. One Day, at Bofton, o'er a Jug of Ale, A Goffard offer'd all his Flock to Sale. A different Price, with which he quickly clos'd; (The 1 (The Geese are mark'd by cutting Toe or Heel, As may be different mark'd;---What's that a Piece? IX. QUESTION 66. By Mr. James Hartley, of Yarum. GIVEN the Equations, x+y+x= x3 +3 +z3 quired the Values of x, y and z? xy = -re 2 X. QUESTION 67. By Mr. Chriftopher Mafon, at Eastbourn, near Petworth in Suffex. TAKE a Tub of fair Water fill'd up to the Brim, XI. QUESTION 68. By Mr. John Hampfon, at Bedford- MY Son having gone a confiderable Time to Leigh School, at 18 d. by the Quarter, to read English, which commenced on the 14th of January, 1752; I agreeing with Mr. Henry Arrowfmith, the Mafter of the School, to pay him 45. per Quarter for his writing my Son a Copy or two each Day befides; but he not beginning to write 'till the 19th, I would have you Palladium Arithmeticians fhew the exact Time when 4s become due to the Mafter? XII. QUESTION Chronological, 69. By Mr. Alexander Naughley, at Threlkeld in Cumberland. SUPPOSE the Julian and Gregorian Years commenced with the Julian Period, and the Vernal Equinox fo fixt, as only to go back a whole Day in 133 Julian Years; then, in the Julian Account, if OneLeap-Day had been omitted every Time, after each Pair of the three Cycles, compofing the faid Period, had begun and ended their Round together, which of thefe Two Accounts would more exactly correfpond with Solar Time, at the End of the faid Julian Period? What would be. the Difference of Account between them? And on, or about, what Month-Day was the Vernal Equinox, at the CREATION of the World, according to this Hypothesis of Julian Reckoning ? XIII. QUESTION Aftronomical, 70. By the fame Gentleman. ONE being ask'd, by an Old Practitioner in judicial Aftrology, the Year, Month, Day, Hour and Minute of his BIRTH, under the Latitude of 56° N. Poft Meridiem, replied; "That the Solar and Lunar Cycles, with the Hours, were Each the "fame with the Number of the Month, (reckoning March 1, April 2,) "which literally drawn into that of the Birth-Day, produces XX--<< I 99; but the Product of their Sum and Difference 4X=40, "and the Minutes are more by the Indiction for that Year, e 404 the Indiction: What's What's the direct Answer to the Question? So that any demure Sydrophel, and his Sly Whackum, may caft the Horoscope, confult the Stars, and by their mutual Afpects find out the Accidentia prænotabilia tam nati, quam Diei, for vindicating the Truth of their pretended Art to the fair and ingenious Ladies, who are ever at cafting Figures, oft cry out on the Stars! and being very intimate with Fortune-Hunters, must, or however fhould, be far better Fortune-Tellers: May then every Star fhed down its moft benign Influence on all their Heads! XIV. QUESTION 71. By Numericus. TO determine the Ratio of the Motion of Light to the Motion of the Earth in its Orbit? And alfo the Ratio of the Motion of the Earth in its Orbit to that of a Cannon Ball? XV. QUESTION 72. By Mr. Robert Butler. A Merchant has a Fir-Tree, or Maft, Sixty Feet long, two Feet in Diameter at the greater End, and half a Foot Diameter at the leffer End; A offers him 18 d. per Solid Foot, for as many Solid Feet as he will fpare, and B offers him 12 d. per Foot, in Length, for as many Feet in Length as he will let him have; at what Distance from each End muft the Merchant get the Tree cut in two Parts, to be divided betwixt A and B, fo as to fell it for the moft Money; and what must each Purchaser pay a Piece? XVI. QUESTION 73. By Mr. Stephen Hodges, propofed to all Female Artists. A Garden oblong to my Houfe I've adjoin'd, Which Form I thought well to affix, The Breadth to the Length, in Proportion defign'd, Exactly as Five is to Six: The Cube Roots of the Length and the Breadth, I have found, Six Poles, and no more, will just make; A Walk, on each Side, and one End of the Ground, One Fifth of the Whole does just take. At the End of this Garden, a Mount I have plac'd, The Breadth of the Walk, to the Height is well grac'd, As three and two Tenths is to Four. The Garden's Dimensions, Dear Phillis explain, At my Houfe I will give you a Treat; At the Mount* I think now it can only remain, XVII. QUESTION 74. By Mifs Phillis Honeyfuckle. REQUIRED the Ratio of the Surface to the Solidity of a Lock of Hair, weighing one Third of an Ounce, (fuppofe the Tail of a Fop's Wig unbound, or graver Brigadier Lock) in fuperficial and folid Inches? Whoever fends an Aufwer before the End of February next has a Chance, by Lot, to win a Dozen Palladiums. PRIZE-QUESTION. By Mr. James Hartley, of Yarum. THE Method of defcribing an Ellipfis (by the two Ends of a Chord, fixed at the Foci E, and F, while the intermediate Parts, as H, b, are carried about those Points ftretch'd) being generally known; fuppofe, while the Ellipfis HBTDb WH is defcribing, the Angle E Fb is continually bifected by a Line Fg, cutting B G W MICA the Line Eb in the Point g; that Point will defcribe an interior Ellipfis gILGFg. Now, let TC x BC= :9914,74, it is required to find the Dmensions of both the Ellipfes, when the Area of the leffer is a Maximum? NEW PARADOXES for 1753. I. PARADOX. By Mr. Stephen Hodges, of Wellingborough. THE Area of the leaft Field, of four equal Sides, without any fenfible Angles, is equal to two Acres; Quere, the Perimeter and Length of each Side? II. PARADOX. By Clericus. Notwithstanding a Gentleman at Milton, in Kent, has a pretty Woman to his Wife, he kiffes, [IN DEED] all his Neighbours Wives in that Parish, without giving Displeasure to any of their Hufbands, or the leaft Offence to Religion or Modefty. ANSWERS to all the Enigmas in laft Year's PALLADIUM. I. 37. An OYSTER. V. 41. A Time-Serving PARSON. VH. 43. A SECRET. X. 46. A SHILLING. XII. 48. A KENTISH AGUE. Prize. 1 Lat. The Moon. A LILLY. 2. Lat. PHENIX. Mr. |