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A Vector Approach to Ptolemy's Theorem

Ptolemy's Theorem states that the product of the diagonals of a cyclic quadrilateral (a quadrilateral that can be inscribed in a circle) is equal to the sum of the products of the opposite sides. The authors give a new proof making use of vectors.
Old Node ID: 
3479
MSC Codes: 
97G40
Author(s): 
Erwin Just (Bronx Communty College of the City College of New York) and Norman Schaumberger (Bronx Communty College of the City College of New York)
Publication Date: 
Monday, March 29, 2010
Original Publication Source: 
Mathematics Magazine
Original Publication Date: 
December, 2004
Subject(s): 
Several Variable Calculus
Calculus
Polygons
Plane Geometry
Geometry and Topology
Topic(s): 
History of Multivariable Calculus
Vector Operations
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Publish Page: 
Furnished by JSTOR: 
Rating Count: 
20.00
Rating Sum: 
66.00
Rating Average: 
3.30
Applicable Course(s): 
4.9 Geometry
3.3 Mainstream Calculus III, IV
Modify Date: 
Thursday, August 9, 2012
Average: 3.3 (20 votes)

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