h. The middle Time of the true 6 in the D's Orb 1753,22 42 02 October 25, N. S. Equation of Time add Apparent Time 6 in D's Orb Time of Reduction fub. and add. Apparent Time of the neareft Approach to Centre Apparent Time of the Ecliptic 6 True Lat. DN. A. Vifible Lat. S. A. Sine Dift. from Nonag. Degree 47° 34′ 42′′, 3 II 00 47 34 42 10.0057 9.7903 9.8682 To the Nonag. Degree my 15° 36′ 18′′ add three Signs, the Afcendant is 15° 36′ 18', whence the Luminaries are between the Afcendant and Nonag. Degree the visible Eclipfe happens before the true, alfo the Eclipfe falls in the Oriental Quadrant. And by repeating the Trigonometrical Calculation, I find the D's Parallax in Latitude at one Hour before the Ecliptic 6 42′ 49′′. 23h 00′ 45′′ Diff. at { } D's Parallax in Long. { True Hourly Motion of from Vifible hourly Motion Decreased 26' 59" ༢༨ ༠༨ 8 06 33 03 24 57 Hence the Interval of Time is 1h 4′ 53′′; wherefore 23h 00′ 45′′ from the Time of the Ecliptic Conjunction Subtract the Interval of Time Refts Ap. Time vif. 6 1753, October 25th And by repeating the Operation I find D's Par. Long. Hence her vifible Lat. S. Semidiameter O and D And at one Hour before visible 6 D's Paral. in Long. Parallax in Latitude At one Hour after vifible 6 the D's Parallax in Long. 27 39 Diff. of Parallaxes this Hour Whence vifible Hourly Motion D from Parallax in Latitude Hence vifible 6 is 1753, October 8 02 Time from Middle to visible 6 Scruples of Incidence Time of Incidence Time of Repletion I 58 2X 53 54 30 38 I 09 37 I 13 28 Cha. Mason Jun. The fame ingenious Correfpondent favoured us with à Calculation of the fame Eclipfe for the Lat. and Meridian of the City of Rome, which, for want of Room, must be omitted. We have alfo received an Account of the Times, Places, &c. of the faid Eclipfes from feveral other of our ingenious Correspondents as exhibited in the following Tables. Moon Eclipfed April 17, at Night, | Beg. | Mid. End apparent Time. Geo. Godhelp, Lincoln Dur. Dig. hm.hm. h.m. h.m. m. Harland Widd, Whitby 4 54 6 4 7 14 2 20 5 2 5 27 6 38 7 50 2 23 5 33 Mr. Abr. Lord for per Leadbetter 5 136 22 7 31 2 18 4 59 Beg. Mid. End Dur. Dig. 8hm 9h 10m 10h16m 2h9m 7°481 8 50 10 211 14 2 24 8 18 9 3010 41 2 238 9 19 10 29 2 18 3110 39 2 16 { by Machin Newport 8 23 9 Mr. Geo. Godhelp, Lincoln Mr.Abr. Lord 8 11 SPeckleton,Leiceft. 9 14 10 28 11 Mr. Wm Wadham, North Curry Mr. John Williams, Mold, Flinth. 8 22 44 2 30 8 25 10 48/12 8 312 43 9 20 8 309 39 10 8 37 9 47,11 8 45 9 50 11 8 42 9 50 11 Befides thefe there will be a remarkable Tranfit of the Planet Mercury over the Sun's Disk, on May 6, the Times whereof are as follows. Mr.Ab.Lord, Peckleton, Leiceft. 12 Mr. Alex. Rewe takes Notice, that the Beginning at London will be about Sun-rife, and the Duration 7 Hours and a Half. Mr. J. Hollingworth 14 501 1 17 471 A Table of all the Solar Eclipies that will be vifible at Leicester, from the Year 1764 till the Year 1817. per Abr. Lord. Anno Dom. Beg. Mid. End Dur. 1766, Aug. 6th, Afternoon 5h42m 6h 35m 7h20m 1h 38m 1769, June 4, Morning 1772, Octob. 26, Morn. 1777, Jan. 9, Aftern. 1778, June 24, Aftern. 1779, June 14, Morn. 1782, April 12, Aftern. 1787, Jan. 19, Morn. 1787, June 15, Aftern. 1788, June 4, Morn. 1791, April 3, Aftern. 1793, Sept. 5, Noon 1794, Jan. 31, Aftern. 1797, June 24, Aftern. 1802, Aug. 27, Mora. 1804, Feb. 10, Morn. 1806, June 15, Aftern 1807, Nov. 28, Noon 1813, Jan. 31, Moin. Dig. 4° 16' 632 49. 0 45 3 36 4 44 5 49 2 13 9 48 53 5 37 I 35 4 38 32 7 16 8 5 I 33 4 34 33 7 35 2 9 9 4 9 48 11 10 12 25 2 37 4 55 5 51 1 49 9 53 I 22 9 6 15 IO 49 67 4 2 to 21 12 6 I 13 I 11 24 12 23 643 5 27 I 38 4 12 4 12 57 I 52 3 28 854 2 6 II 7 47 II 7 46 1814, July 16, Morn. 5 29 5 44 1816, Nov. 19. Morn. 4.2 o 44 10 41 Answers to the Mathematical Questions in 1752. (1) Quest. 111. anfwer'd by Mr. J. Holden. Let ABLMCD be a SemiEllipfis, and AGIKHD its circumfcribed Semi-circle, 'tis plain from the Nature of an Ellipfis that the Parallelograms FBCE, NLMP, are proportional to the Parallelograms FGHE, NIKP; and fince a Square is the greatest Parallelogram that can be infcribed in a Circle, the Paral A G J K H D F N O P E T lelogram FBCE will be the greateft when its Side BC is equal to the Chord of 90 to Radius OD. Therefore calling OD,, the Area of the half Square FGHE will be, and because the Areas FBCE and NLMP are to be in the Proportion of 5 V홈-곰 12 5 12 272 3 (and because op+PR2 + =0,93417 and OP = 12 0,35682 PM: but PK: PM :: the Tranf verfe: the Conjugate :: .93417: 0.35682, and the Product of the Tranfverfe and Conjugate is 1752 x 1.2732 ➡ 2230.7105, from whence the Transverse 76,4205, and the Conjugate 29,1899. The fame anfwer'd by Mr. John Nichols. Given a = 1752, c=0,7854; Let x=AO, y➡RO, OE. Then AEx+x, and ED -≈, and by the Property of the Curve x2; y2:: x22: Whence √x2-HS, and 4zy the greatest Parallelogram, a Maximum, and in Fluxions is 16у2x2-32123% ≈0, whencé =x√ and 2% |