RECREATIONS IN MATHEMATICS AND NATURAL PHILOSOPHY: CONTAINING AMUSING DISSERTATIONS AND ENQUIRIES CONCERNING A KARIETY OF SUBJECTS THE MOST REMArKABLE AND PR0PER TO EXCITE CUrIOSITY AND ATTENTION TO THE WHOLE RANGE OF THE MATHEMATICAL AND PHILOSOPHICAL SCIENCES: The Whole treated in a pleasing and easy Manner, and adapted to in those Sciences: viz. • .,, • '^t"" First composed by M. OZANAM, of the Royal Academy of Sciences, Sec. Lately recomposed, and greatly enlarged, in a new Edition, by the M. MONTUCLA. And now translated into English, and improved with many CHARLES HUTTON, LL.D. and F.R.S. AND ProFESSor oF MATHEMATICS IN THE roYAL IN FOUR VOLUMES; WITH NEAR ONE HUNDRED QUARTO PLATES. VOL. II. fRINXES FOR G. KEArSLEY, FLEET-STREET. 1803. CONTENTS Containing various problems in Mechanics. f Rob. I. To caufe a hall ti proceed in a retrograde direc- tion., though it meets with no apparent obfiade - a Prob. 11. To make a faife ball for playing at nine pini 3 Prob. Hi. Hew to conflruft a balance,which fbaUappear jufl when not haded as well as when loaded with un~ 1 Prob. IV. To find the centre of gravity effevtral weights 6 Solution of a geometrical problem, which feems to he deducible only from the property of the centre of gravity 8 Prob. v, When two perfons carry a burthen by means of Prob. v1. How 4, 8, 16, or 32 men may be diftributed in fucb a manner as to carry a confiderable burthen Prob. VII. A rope ACB of a determinate length being Prob* vu1. To caufe a pail full of water to be fuphorted 384184 |