Page:Dialogues Concerning Two New Sciences (1914).djvu/325



Accelerandosi = displace, 252 Accelerated motion, 160 reduced to uniform motion, 173 Acceleration, definition of uniform, 169 Acceleration of gravity measured, 178 Accelerazione, used in the sense of speed, 167 Achilles and the Tortoise, problem of, 164 Acoustics, 95 Adhesion of plates, 11, 12 Aggiunti, x Air, resistance of, to projectiles, 252, 256 Altitude of parabola, determination of, 285 Amplitude of parabola defined, 260, 273 tables of, 284 Apollonius, 242, 245, 246 theorem of, 38, 44 Aproino, Paolo, ix Arcetri, xi, xviii Archimedes, v, 41, 110, 144, 147, 242, 251 Archimedes' principle, 81 Ariosto, quotation from, 131 Aristotle, 12, 13, 20, 26, 49, 64, 76, 77, 80, 95, 110, 125, 135, 291 Aristotle's idea of falling bodies, 61 Arrighetti, x Atmospheric pressure, 17 Augmented Fourth, 104 Axioms of uniform motion, 154

Beam carrying a constant load which moves from one end to the other, 140 Beam carrying a constant load in a fixed position, 140 et sq. Beams, similar, relative strength of, 124 , strength of, 115 , variation of strength with diameter, 119 , variation of strength with length, 123 Bending strength, 119 Bernoulli, James, 149 , John, 183 Bones, proportion of, 131 , of birds, 150, 239 Brachistochrone, 225, 239 Canne = fathom Capillarity, effect seen in shortening of rope, 20 as seen in drops on cabbage leaves, 70 Catenary, 149, 290 Cause, speed considered as a, 255 Causes, search after, futile, 166 Cavalieri, 41 Chords of circles, times of descent along, 188 et sq. Cicero, xix Cohesion of solids, 11 et sq., 18 Comandino, Federigo, 294 Compass, Galileo's military, 149 Composition of motions, 244, 257, 267 Continuity, mathematical, 24 et sq.