Theater of Machines, Part 1

the hangers in which such beams move are the two points B and E. Now I hang this sphere A on this beam marked AB, which sphere is 2 pounds heavy, at the very outermost end, but the other beam marked with C I leave empty without any counterweight. In the same manner, I also hang at the outermost part of one arm of the other balance ED this sphere D, which I set at only one pound in weight, and in the same manner as before, I leave the other half-beam, or little arm EF, without any counterweight, unburdened at the point I. When I have now hung such both corpora bodies or spheres in such a way as mentioned, on both little arms, I raise them upwards equally, the one as the other (as the figure clearly shows). Now when I open my hand and let both such bodies snap, I wish to have stipulated in this petition that the sphere or corpus A will go down much faster, since it is heavier than the sphere or corpus D; that is, the sphere A will take much less time or duration to go through the curved or bent spacium space AG than the sphere or corpus D can go through the arc or path DH, which both spacia spaces are nevertheless equal, since (as was stipulated at the beginning) both balance beams are entirely equal to each other, and such both curved paths give the circumferens circumference of two equal circles of equal size or width. And against that, in return, I also wish that it be conceded and confessed to me as certain that when both such corpora or spheres come straight under themselves, as deep as they may go down or under themselves, as namely the one sphere or corpus at point G, the other at point H, then such a weight, hung at the outermost end of such a little arm at point C—so that the corpus or sphere A may lift itself up again to the place where it was first raised (as is indicated in the figure ordered for this)