On cyclic sums for polygons
This thesis presents a generalization of cyclic sums for polygons with more than three sides in contrast to the concern of Ceva's theorem which is about a cyclic product. This thesis is an exposition of the article Cyclic Sums for Polygons by G.C. Shephard. Most of the theorems and definitions...
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oai:animorepository.dlsu.edu.ph:etd_bachelors-176762022-01-25T07:24:53Z On cyclic sums for polygons Francisco, Gilliane Therese Villaescusa, Andrea This thesis presents a generalization of cyclic sums for polygons with more than three sides in contrast to the concern of Ceva's theorem which is about a cyclic product. This thesis is an exposition of the article Cyclic Sums for Polygons by G.C. Shephard. Most of the theorems and definitions in this thesis are results given by the said article. Discussion of affine transformation and related topics in geometry, calculus, linear algebra, and trigonometry were used to expound on the topics which were not proved in the article. The section of the article concerning golden section ratio was omitted and the omission was insignificant to the study. 2001-01-01T08:00:00Z text https://animorepository.dlsu.edu.ph/etd_bachelors/17163 Bachelor's Theses English Animo Repository |
| institution |
De La Salle University |
| building |
De La Salle University Library |
| continent |
Asia |
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Philippines Philippines |
| content_provider |
De La Salle University Library |
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DLSU Institutional Repository |
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English |
| description |
This thesis presents a generalization of cyclic sums for polygons with more than three sides in contrast to the concern of Ceva's theorem which is about a cyclic product. This thesis is an exposition of the article Cyclic Sums for Polygons by G.C. Shephard. Most of the theorems and definitions in this thesis are results given by the said article. Discussion of affine transformation and related topics in geometry, calculus, linear algebra, and trigonometry were used to expound on the topics which were not proved in the article. The section of the article concerning golden section ratio was omitted and the omission was insignificant to the study. |
| format |
text |
| author |
Francisco, Gilliane Therese Villaescusa, Andrea |
| spellingShingle |
Francisco, Gilliane Therese Villaescusa, Andrea On cyclic sums for polygons |
| author_facet |
Francisco, Gilliane Therese Villaescusa, Andrea |
| author_sort |
Francisco, Gilliane Therese |
| title |
On cyclic sums for polygons |
| title_short |
On cyclic sums for polygons |
| title_full |
On cyclic sums for polygons |
| title_fullStr |
On cyclic sums for polygons |
| title_full_unstemmed |
On cyclic sums for polygons |
| title_sort |
on cyclic sums for polygons |
| publisher |
Animo Repository |
| publishDate |
2001 |
| url |
https://animorepository.dlsu.edu.ph/etd_bachelors/17163 |
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1772835181672005632 |