Discorsi e dimostrazioni matematiche intorno a due nuove scienze¶
Galilei, G. (1638). Discorsi e dimostrazioni matematiche intorno a due nuove scienze.
Cited by¶
6 citations across 6 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Discrete vs. Continuous (Quantization)
- Classical continuum mechanics (Galileo 1638
This sourceFoundational treatment of continuous motion (uniformly accelerated motion) and the strength of materials, including the First-Day dialogue on the composition of the continuum and indivisibles. Cited as part of the classical continuum baseline against which quantum discreteness is later measured.
- Classical continuum mechanics (Galileo 1638
- Diseconomies of Scale
- Biology: the square–cube law limits organism size, as volume (the mass to be supported and supplied) grows with the cube of linear dimension while the supporting cross-section and surface grow only with the square.
This sourceElzevir (Leiden). First statement of the square–cube law: as a body scales up, its surface and supporting cross-section grow with the square of linear size while volume and mass grow with the cube, so larger organisms require disproportionately thicker supporting structures — the geometric diseconomy that limits organism size.
- Biology: the square–cube law limits organism size, as volume (the mass to be supported and supplied) grows with the cube of linear dimension while the supporting cross-section and surface grow only with the square.
- Equivalence Principle
- This principle originates
This sourceArgues that, with medium resistance removed, all bodies fall with the same acceleration in vacuum — the universality of free fall.
- This principle originates
- Inertia
- His 1638 Discorsi
This sourceElzevir (Leiden). First statement of the square–cube law: as a body scales up its surface and supporting cross-section grow with the square of linear size while volume and mass grow with the cube, so larger organisms require disproportionately thicker supporting structures—the geometric diseconomy that limits organism size.
- His 1638 Discorsi
- Scale
- (4) The deeper abstraction is that **scale-awareness is the structural prerequisite for all multi-level reasoning in science and engineering: Galileo's 1638 cube-square argument
This sourceElzevir (Leiden). First statement of the square–cube law: as a body scales up its surface and supporting cross-section grow with the square of linear size while volume and mass grow with the cube, so larger organisms require disproportionately thicker supporting structures—the geometric diseconomy that limits organism size.
- (4) The deeper abstraction is that **scale-awareness is the structural prerequisite for all multi-level reasoning in science and engineering: Galileo's 1638 cube-square argument
- Zero-Force Null Baseline
- Microeconomics uses perfect competition as a baseline with imperfect-competition models as named departures; classical mechanics uses inertial frames with fictitious-force corrections (Coriolis, centrifugal, Euler); information theory uses the noiseless channel with noise as a named departure carrying a specific capacity penalty; macroeconomics uses the efficient-market hypothesis with behavioural and microstructure anomalies as departures; optics uses paraxial Gaussian optics with the catalogue of named aberrations; statistics uses i.i.d. sampling with non-independence and non-identical distribution as named departures requiring named methods; and Galileo's friction-free inclined plane is the historical archetype, with friction itself the first named departure.
This sourceThe friction-free inclined plane as the historical archetype of an idealized baseline, with friction the first named departure.
- Microeconomics uses perfect competition as a baseline with imperfect-competition models as named departures; classical mechanics uses inertial frames with fictitious-force corrections (Coriolis, centrifugal, Euler); information theory uses the noiseless channel with noise as a named departure carrying a specific capacity penalty; macroeconomics uses the efficient-market hypothesis with behavioural and microstructure anomalies as departures; optics uses paraxial Gaussian optics with the catalogue of named aberrations; statistics uses i.i.d. sampling with non-independence and non-identical distribution as named departures requiring named methods; and Galileo's friction-free inclined plane is the historical archetype, with friction itself the first named departure.
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Links previously used in the corpus¶
Before the registry existed this work was also linked 3 other ways.
- https://archive.org/details/bub_gb_E9BhikF658wC ×1
- https://archive.org/details/discorsiedimostr00gali ×1
- https://www.loc.gov/item/19012632/ ×1
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