Book I

E114941

Book I is the first section of Isaac Newton’s *Philosophiæ Naturalis Principia Mathematica*, laying out the mathematical foundations of classical mechanics and the laws of motion.

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Book I canonical 1

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Predicate Object
instanceOf book section
part of scientific treatise
author Isaac Newton
concerns areas swept out by radius vectors
curvilinear motion
motion of bodies under central forces
orbital motion
contains Newton's three laws of motion
countryOfOrigin Kingdom of England
defines mass in terms of density and volume
field classical mechanics
focusesOn laws of motion
mathematical foundations of mechanics
genre scientific treatise
hasPositionInWork first of three books in the Principia
historicalSignificance established rigorous mathematical basis for classical mechanics
includes lemmas on limits and infinitesimals (method of first and last ratios)
propositions on elliptical orbits
propositions on uniform circular motion
the area law (Kepler's second law derived)
the inverse-square law treatment for central forces
influenced 18th-century celestial mechanics
development of analytical mechanics
formulation of later physics textbooks
introducesConcept absolute motion
absolute space
absolute time
centripetal force
impulse
inertia
momentum
quantity of motion
language Latin
notableFor deriving Kepler's laws from an inverse-square central force
systematic use of geometric limit arguments
originalMedium print
originalPublicationDate 1687
partOf Philosophiæ Naturalis Principia Mathematica
precedes Philosophiæ Naturalis Principia Mathematica
surface form: Book II (Principia)

Philosophiæ Naturalis Principia Mathematica
surface form: Book III (Principia)
structure lemmas, definitions, axioms, scholia, propositions, corollaries
subject laws governing motion of bodies
mathematical derivation of orbital laws
title De motu corporum
uses axioms or laws of motion
usesMethod geometrical methods
synthetic geometry

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Full triples — surface form annotated when it differs from this entity's canonical label.