On incircles in triangles and quadrangles
Date of Publication
1996
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
This paper discusses basic properties of incircles in triangles and quadrangles. In particular, it will be shown that (1) Let P be a point on the side BC of a triangle ABC and let r, r2, r3, be the inradii of the triangles ABC, ACP, ABP, respectively. Then 1/2 + 1/3 - 1/2r3 = 2/ha where ha is the altitude of ABC from A. (2) Consider a triangle ABC and points P, Q on the line segment BC. If T is the external homothety center of the incircles of the subtriangles ABP and AQC, then T is also the external homothety center of the incircles of the subtriangles ABQ and APC.
Abstract Format
html
Language
English
Format
Accession Number
TU07451
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
55 leaves
Keywords
Triangles; Finite generalized quadrangles; Geometry, Plane; Circle
Recommended Citation
Denoga, G. L., & Sianghio, M. H. (1996). On incircles in triangles and quadrangles. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16304
