The Method

E651230

The Method is an ancient mathematical treatise by Archimedes that uses mechanical reasoning to discover and justify geometric theorems.

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Label Occurrences
The Method canonical 1

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Statements (40)

Predicate Object
instanceOf mathematical treatise ⓘ
work by Archimedes ⓘ
aim to discover geometric theorems ⓘ
to justify geometric theorems ⓘ
associatedWith Syracuse ⓘ
author Archimedes ⓘ
contains proofs of area and volume formulas ⓘ
results on centers of gravity ⓘ
dateWritten 3rd century BCE ⓘ
demonstrates relationship between physics and geometry ⓘ
use of mechanical methods to obtain mathematical results ⓘ
describes balancing of geometric figures on a lever ⓘ
use of infinitesimal slices ⓘ
field geometry ⓘ
mathematics ⓘ
genre ancient Greek mathematical work ⓘ
historicalSignificance reveals Archimedes’ approach to problems later treated by calculus ⓘ
influenced development of integral calculus concepts ⓘ
history of calculus ⓘ
language Ancient Greek ⓘ
notableFor combining mechanical intuition with rigorous proof ⓘ
early use of infinitesimal ideas ⓘ
explicit description of Archimedes’ heuristic methods ⓘ
originalTitle Method of Mechanical Theorems ⓘ
period Hellenistic period ⓘ
philosophicalAspect distinction between discovery and proof in mathematics ⓘ
preservedOn parchment reused in a medieval prayer book ⓘ
recoveredBy modern imaging techniques on the Archimedes Palimpsest ⓘ
status partially preserved ⓘ
studiedIn history of mathematics ⓘ
survivesIn Archimedes Palimpsest ⓘ
title The Method ⓘ
topic areas of plane figures ⓘ
centroids of figures ⓘ
volumes of solids ⓘ
typeOfReasoning heuristic mechanical reasoning ⓘ
uses mechanical reasoning ⓘ
method of exhaustion ⓘ
wasThoughtLostUntil discovery of the Archimedes Palimpsest ⓘ
workOf Archimedes of Syracuse ⓘ
linked to: Archimedes

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