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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Statements (47)

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 Book II (Principia) ⓘ
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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