Note
College of Education
Member of
Contributors
Publisher
Florida Atlantic University
Date Issued
2006
EDTF Date Created
2006
Description
This thesis explores several construction problems related to the incircle of
a triangle. Firstly, as a generalization of a theorem of D. W. Hansen, we find two
quadruples of quantities related to a triangle which have equal sums and equal
sums of squares. We also study the construction problems of triangles with
centroid on the incircle, and those with a specified cevian - a median, an angle
bisector, or an altitude- bisected by the incircle. Detailed analysis leads to designs of animation pictures using the dynamic software Geometer's Sketchpad.
a triangle. Firstly, as a generalization of a theorem of D. W. Hansen, we find two
quadruples of quantities related to a triangle which have equal sums and equal
sums of squares. We also study the construction problems of triangles with
centroid on the incircle, and those with a specified cevian - a median, an angle
bisector, or an altitude- bisected by the incircle. Detailed analysis leads to designs of animation pictures using the dynamic software Geometer's Sketchpad.
Language
Type
Form
Extent
60 p.
Subject (Topical)
Identifier
FA00000725
Additional Information
College of Education
Dissertation (Ph.D.)--Florida Atlantic University, 2006.
FAU Electronic Theses and Dissertations Collection
Date Backup
2006
Date Created Backup
2006
Date Text
2006
Date Created (EDTF)
2006
Date Issued (EDTF)
2006
Extension
FAU
IID
FA00000725
Organizations
Attributed name: Florida Atlantic University
Person Preferred Name
Bell, Amy B.
Graduate College
Physical Description
application/pdf
60 p.
Title Plain
Some Construction Problems Related to the Incircle of a Triangle
Use and Reproduction
Copyright © is held by the author, with permission granted to Florida Atlantic University to digitize, archive and distribute this item for non-profit research and educational purposes. Any reuse of this item in excess of fair use or other copyright exemptions requires permission of the copyright holder.
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Origin Information
2006
2006
Florida Atlantic University
Boca Raton, Fla.
Physical Location
Florida Atlantic University Libraries
Place
Boca Raton, Fla.
Sub Location
Digital Library
Title
Some Construction Problems Related to the Incircle of a Triangle
Other Title Info
Some Construction Problems Related to the Incircle of a Triangle