Eudoxus Meets Cayley

Eudoxus Meets Cayley

During the classical Greek civilization in the period 600-300 B.C.E., geometry was organized and systemized into today's formal mathematics, culminating in Euclid's Elements. When Euclid wrote the Elements, he was able to incorporate Eudoxus's brilliant resolution of the crisis throug...

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Veröffentlicht in:The American mathematical monthly 2003-12, Vol.110 (10), p.912-927
Hauptverfasser: Chandler, Richard E., Meyer, Carl D., Rose, Nicholas J.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Cartesian planes
Centroids
Coordinate systems
Eigenvalues
Exact sciences and technology
General, history and biography
Geometry
History and philosophy of mathematics
Linear and multilinear algebra, matrix theory
Mathematical problems
Mathematical theorems
Mathematicians
Mathematics
Matrices
Natural numbers
Sciences and techniques of general use
Triangles
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Beschreibung
Zusammenfassung:During the classical Greek civilization in the period 600-300 B.C.E., geometry was organized and systemized into today's formal mathematics, culminating in Euclid's Elements. When Euclid wrote the Elements, he was able to incorporate Eudoxus's brilliant resolution of the crisis through the development of proportional lengths and similar triangles. Chandler et al discuss an answer to a question through the mathematics of Cayley.
ISSN:0002-9890
1930-0972
DOI:10.1080/00029890.2003.11920031