. Encyclopaedia : or, A dictionary of arts, sciences, and miscellaneous literature; constructed on a plan, by which the different sciences and arts are digested into the form of distinct treatises of systems ... . , as is reprefentcd in the triangleBDF ; it is plain that the fpace parted over in everyfmall moment of time will be compofed of a paralle-logram formed by the velocity laft acquired, and atriangle formed by the acceleration during that mo-ment, which is entirely in terms of the p:opofuion,that the lpaces are in a compound ratio 01 the veloci-ties laft acquired, and the times of moti
. Encyclopaedia : or, A dictionary of arts, sciences, and miscellaneous literature; constructed on a plan, by which the different sciences and arts are digested into the form of distinct treatises of systems ... . , as is reprefentcd in the triangleBDF ; it is plain that the fpace parted over in everyfmall moment of time will be compofed of a paralle-logram formed by the velocity laft acquired, and atriangle formed by the acceleration during that mo-ment, which is entirely in terms of the p:opofuion,that the lpaces are in a compound ratio 01 the veloci-ties laft acquired, and the times of motion. iS. Conftant forces which accelerate bodies, caufethem to defcribe, from reft, fpaces whicli are as theforces and fquares of the times wherein they actjointly. For the fpaces defcribed arc as the velocitieslaft acquired, and the times of motion. This will beevident, from an inspection of the former figure ; forin the triangle BDF, let B 1 reprtfent the time inwhich a body acquires a certain velocity; then whenit has attained the length of 2, the fpace paded overwillbe repiercnted by a fmall fquare, being that ofibe firft moment, and of a triangle rcprefenting theiiMitional force the moment. 777. D A N 1 C S. 19. The conftant forces which accelerate bodies Motion offrom a ftate of reft, are in a direct duplicate ratio of Kodics. the velocities generated, and in an inverfe ratioof the ^ fpaces defcribed. Hence the following corollary isdeduced, viz. that the laft acquired velocities are in afubduplicate ratio of the accelerating forces, and afubduplicate ratio of the fpaces defcribed jointly. 20. If booies unequal in quantity of matter beimpelled from reft through equal (paces, by the ac-tion of moving forces which are conftant, thefe forcesare in a duplicate ratioof the lalt acquired velocities,and the ratio of the quantity of matter jointly. In his obfervations on this propofuion, our authortakes occaiion to conlider the theory of thole who infifl,contrary to the op
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