Author Type

Graduate Student

Date of Award

2006

Document Type

Dissertation

Publication Status

Version of Record

Submission Date

October 2026

Thesis/Dissertation Advisor [Chair]

Yiu, Paul Y.

Abstract

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.

Extent

60 p.

Comments

College of Education|Dissertation (Ph.D.)--Florida Atlantic University, 2006.|FAU Electronic Theses and Dissertations Collection|College of Education

Identifier

FA00000725

Format

pdf

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