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QuoteRef: galiG_1638

topics > all references > ThesaHelp: references g-h



ThesaHelp:
references g-h
Topic:
quantum mechanics
Topic:
the effect of scale
Topic:
general relativity
Topic:
Newtonian physics
Topic:
metaphysics and epistemology
Topic:
mathematics as a formal system
Topic:
abstraction
Topic:
names as abbreviations for descriptions
Topic:
special relativity
Topic:
scientific method
Topic:
law of nature
Topic:
logic
Topic:
problems with analytic truth
Group:
philosophy of science
Topic:
equal simplicity
Topic:
infinity and infinitesimal
Topic:
geometry
Topic:
science as mathematics
Topic:
skepticism about knowledge
Topic:
science as experiment

Reference

Galilei, Galileo, Two New Sciences, including Centers of Gravity & Force of Percussion, Leyden, Elzevirs, 1638. Google

Other Reference

translated by S. Drake, Madison, Wisconsin: University of Wisconsin Press, 1974. Page numbers from A. Favaro's edition 1890-1910.

Notes

Galileo's quotes (a.k.a., the Author or the Academician) were marked by italics.

Quotations
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


Related Topics up

ThesaHelp: references g-h (299 items)
Topic: quantum mechanics (103 items)
Topic: the effect of scale (17 items)
Topic: general relativity (47 items)
Topic: Newtonian physics (79 items)
Topic: metaphysics and epistemology (99 items)
Topic: mathematics as a formal system (30 items)
Topic: abstraction (62 items)
Topic: names as abbreviations for descriptions (35 items)
Topic: special relativity (73 items)
Topic: scientific method (42 items)
Topic: law of nature (28 items)
Topic: logic (84 items)
Topic: problems with analytic truth (20 items)
Group: philosophy of science   (10 topics, 406 quotes)
Topic: equal simplicity (15 items)
Topic: infinity and infinitesimal (37 items)
Topic: geometry (33 items)
Topic: science as mathematics (26 items)
Topic: skepticism about knowledge (34 items)
Topic: science as experiment (38 items)

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