Solution to Mr. Afhe's Question, Page 215, Vol. XIV. By Mr. Charles Wildbore, of Nottingham. ET AG= a, and A B = x; then, per property of the circle, BD =√2ax-x; whofe fluxion, added to A D C D fluxion, LET = the flux of the or IF gives the √ zax XI x; 2a dinate C B E I x 2X4a of the cycloid, whofe fluent z ax x 3X 32 a2 fquared, and multiplied taken is, 2 pa x2 X I 4 X 128 a3 2048 24' + comes 8 a3 px I + I + 4 2048 at X 9216 at 5 I &c. which, when AB—AE, be + + -, &c. 36 48 128 192 320 640 2880 6 times the folidity of its generating globe, multiplied by ,73865584; which, when the circumference of its generating circle is 20 inches, gives 600 for the folidity of the cycloidal conoid. A general Method of Solution to the 1ft Question, Page 39, Vol. XVI. By Mr. Charles Wildbore, of Nottingham. ET the radii of the three balls be represented by a, b, and c refpective Lly, allo, let IE, IL -y, and IA Lex, 1 2 2 X 3,14159, &C. +—must be a maximum, fluxed, &c. we have x2 which expreffion, and the properties of the figure, the values of x, y, and z may be found by folving an algebraic equation: Or, otherwife, by the known methods of approximation, affuming for x and y, x will be had from the above expreffion, and, working with the affumed numbers, according to the When the three furfaces are equal to each other, affuming for any one of B Y letters received by the Gibraltar man of Rear-Admiral Holburne, with the fquadron on the 21ft paft, the day before the departure From other Papers We have an account, that the engagement INDEX to the SIXTEENTH VOLUME. A Page Academy offciences at Berlin 203 Amfterdam, trade of Account of fort St. George 97 49 182 Acroftic Page 327 Amulet, druid, one found at Tyln 179 5 30 ode 28th of, imitated 345 Anacreontic 231 - - 58 184, 346 184 to rebus's . Antiquities, account of feveral 179 mountain 50 49 284 134 Algiers, Dey of, assassinated 93 American nightingale, defcription fcene in ib. 135 256 Amfterdam, defcription of 324 taxes of 327 Apprentices, their petition 206 X x 2 Arka's, |