Chap. 2. PHILOSOPHY. 65

ftrength fufficient to fupport the cylinder C D. Here as thefetwo powers uphold the whole cylinder, and therefore pro-duce an effect, equal to what would have been produced bya power applied to the point K of fufficient force to fuflain thewhole cylinder : it is manifefl, that if the cylinder be takenaway, the axis only being left, and from the point K a firing,as K N, be extended, which fhall be drawn down by a powerequivalent to the weight of the cylinder, this power ffiall adagainft the other two powers, as much as the cylinder adedagainft them; and confequently thefe three powers ffiall beupon a balance, and hold the axis HI fixed between them.Cut if thefe three powers preferve a mutual balance, thetwo powers applied to the firings HL and IM are a balanceto each other; the power applied to the firing H L bearingthe fame proportion to the power applied to the firing IM,■as the diflance IK bears to the diflance K H. Hence it far-ther appears, that if an inflexible rod AB (in fig. iy.) behjfpended by any point C not in the middle thereof; and ifa t A the end of the ffiorter arm be hung a weight, and at Bthe end of the longer arm be alfo hung a weight lefs thanthe other, and that the greater of thefe weights bears to thekffer the fame proportion, as the longer arm of the rod bearst° the fhorter; then thefe two weights will equiponderate :f° r a power applied at C equal to both thefe weights will fup-port without motion the rod thus charged; fince here no-thing i s changed from the preceding cafe but the fitua-tion of the powers, which are now placed on the contra-ry fides of the line, to which they are fixed. Alfo for the

K fame