HOUSE_OVERSIGHT_013514.jpg
1.95 MB
Extraction Summary
8
People
1
Organizations
0
Locations
0
Events
3
Relationships
2
Quotes
Document Information
Type:
Scientific/academic essay or book manuscript (house oversight committee production)
File Size:
1.95 MB
Summary
This document appears to be page 14 of a scientific or philosophical manuscript discussing 'variational analysis', the 'principle of least action', and the 'principle of least time'. It references historical scientific figures including Newton, Fermat, Feynman, Euler, and Lagrange, discussing the intersection of physics, geometry, and theology. The document bears a 'HOUSE_OVERSIGHT' Bates stamp, indicating it was part of a document production for a congressional investigation, likely related to Epstein's scientific interests or funding.
People (8)
| Name | Role | Context |
|---|---|---|
| Newton | Physicist/Mathematician |
Mentioned regarding his work in 'Principia' determining optimal shapes.
|
| Fermat | Mathematician |
Mentioned regarding the 'principle of least time' (1650).
|
| Feynman | Physicist |
Referenced for his explanation in 'Lectures in Physics' regarding light paths.
|
| Snell | Astronomer/Mathematician |
Referenced regarding Snell's law of refraction.
|
| Euler | Mathematician |
Discussed regarding the optimization principle, God, and the Euler differential equation.
|
| Maupertuis | Mathematician/Philosopher |
Euler gave the law of least action Maupertuis's name.
|
| Mach | Physicist/Philosopher |
Quoted Euler's conclusion about the universe.
|
| Joseph Lagrange | Mathematician |
Rejected Euler's faith-based formalisms; early 19th Century mathematician.
|
Organizations (1)
| Name | Type | Context |
|---|---|---|
| House Oversight Committee |
Implied by the Bates stamp 'HOUSE_OVERSIGHT_013514' at the bottom of the page.
|
Relationships (3)
Euler gave the law Maupertuis's name.
Lagrange rejected Euler's faith based mathematical formalisms.
Key Quotes (2)
"...out of all possible paths that light might take from one point another, light takes the path that requires the shortest time."Source
— Richard Feynman (quoted in text)
(Explaining the path of light in 'Lectures in Physics'.)
HOUSE_OVERSIGHT_013514.jpg
Quote #1
"As the construction of the universe is the most perfect possible, being the handiwork of an all-wise Maker, nothing can be met with in the world in which some maximal or minimal property is not displayed."Source
— Euler (quoted by Mach)
(Regarding the optimization principle and theology.)
HOUSE_OVERSIGHT_013514.jpg
Quote #2
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