50 ;;Quote: in mechanics one can not reason from the small to the large; even though geometry is independent of scale

51 ;;Quote: it can be demonstrated geometrically that large objects are proportionately less resistant than small objects

51+;;Quote: a cat can fall much further without harm than a horse; similarly a very tall oak can not spread its branches as much as a normal oak and a horse has a natural size

59 ;;Quote: nature's resistance to a void is part of what holds a solid together

61 ;;Quote: measure the force of the void by weighing a piston pulling against water

68 ;;Quote: compare Galileo's measurement error against Aristotle's conceptual error

74 ;;Quote: mathematical definitions are names or abbreviations of speech to remove tedious drudgery

87 ;;Quote: light moves with the swiftest motion

87+;;Quote: measure the speed of light by measuring the round-trip delay over a large distance

116 ;;Quote: in mercury, gold sinks and other metals float; in air, gold and copper fall at nearly the same speed; so, in a vacuum, all materials descend with equal speed

129 ;;Quote: a pendulum of cork and one of lead vibrate with equal frequency and hence move with equal speed

142 ;;Quote: an octave is a double ratio; e.g., if a goblet jumps an octave higher, the generated waves divide into two

168 ;;Quote: the resistance of two cylinders to breakage has the same ratio as the cube of their diameters; why machines and trees can not be immense

175 ;;Quote: logic teaches how to know whether or not reasoning is conclusive but it does not teach how to find conclusive reasonings or demonstrations

187 ;;Quote: the resistance of a solid and hollow cylinder of equal weight and length is to each other as their diameters

197 ;;Quote: Galileo investigated the natural acceleration of heavy things and determined its essentials; agrees with physical experiment

197+;;Quote: nature employs the first, simplest, and easiest means; e.g., fish and birds use the simplest, easiest means to swim and fly

198 ;;Quote: uniform acceleration adds on to itself equal momenta of swiftness in equal times

200 ;;Quote: a moveable attains a degree of speed for just an instant in a finite time

200+;;Quote: there are infinitely many instants which correspond to infinitely many degrees of diminished speed

202 ;;Quote: when holding a rock, there is an upward impelling force that equals the downward force due to gravity

205 ;;Quote: degrees of speed acquired by the same moveable over different inclinations are the same when the heights are the same; e.g., a pendulum swings to the same height even if a nail interrupts its swing

212 ;;Quote: Galileo studied gravity by rolling a bronze ball down a long wooden beam; accuracy to a tenth of a pulse-beat

213 ;;Quote: Galileo measured time by weighing the water drained by a slender tube from a large pail

224 ;;Quote: if moveables descend rays from a point, they form a circle of ever widening diameter; a wonderful feature of nature

268 ;;Quote: a projectile carried in uniform horizontal and accelerated downward motion describes a semiparabolic line

274 ;;Quote: the conclusions demonstrated in the abstract are altered in the concrete; e.g., ignoring the curvature of the earth

276 ;;Quote: to be scientific, it is necessary to abstract from reality

276+;;Quote: use materials and shapes that are nearest the scientific abstractions; e.g., heavy balls and cylindrical arrows follow parabolic paths

279 ;;Quote: the terminal speed of a heavy body in air is less than a projectile's maximum speed; e.g., fire one lead bullet from 200 feet and another from 2 feet

286 ;;Quote: define a world-wide standard for the acceleration of naturally falling, heavy bodies; first world-wide standard of measure

245 ;;Quote: understanding an effect and its cause leads to other effects without further experiments; e.g., range of a projectile

245+;;Quote: since the maximum range occurs at 45 degrees, equal deviations from 45 degrees lead to equal ranges

300 ;;Quote: tables of amplitudes of semi-parabolas described by projectiles sent with the same impetus

324 ;;Quote: construct a balance with two water buckets, one above the other; equilibrium is regained after opening a hole in the upper bucket

326 ;;Quote: if a pile driver moves a pole two inches, is the effect the same as a dead weight of 1000 pounds?

326+;;Quote: my having experienced a thousand times the ease with which one is deceived removes my confidence

329 ;;Quote: the force of a mover and the resistance of the moved is compounded of two actions: weight and speed