Thesis Proposal Sample
Chapter I
INTRODUCTION
Background of the Study The word geometry originates from the Greek words geo meaning earth and metria which means measure. It is a branch of mathematics that deals with shapes and size. Geometry may be thought of as the science of space. Just as arithmetic deals with experiences that involve counting, so geometry describes and relates experiences that involve space. Basic geometry allows us to determine properties such as the areas and perimeters of two-dimensional shapes and the surface areas and volumes of three-dimensional shapes. People use formulas derived from geometry in everyday life for tasks such as figuring how much paint they will need to cover the walls of a house or calculating the amount of water a fish tank holds. The area is known to be the two-dimensional space occupied by a given figure measured by its length and width. This is to find out what other figures will occupy the space. In mathematics, a thirteen-pointed star or triskaidecagram is a self-intersecting, equilateral and equiangular star polygon. It has many forms, but for this study, the simplest form of a triskaidecagram was used. It is created by connecting every two vertices of a regular tridecagon, forming a tridecagon as its center and thirteen smaller outside triangles. The outside triangles are isosceles triangles and all are equal to each other; furthermore, the tridecagon can be divided into thirteen isosceles triangles which are also equal to each other. Diamonds are formed from the combined outer and inner triangles. Thirteen diamonds are formed from the divided triskaidecagram and they are equal to each other. In finding the area of a thirteen-pointed star, the usual form is getting the area of one of the outer triangles then multiply it by 13 and then adding it to the area of the tridecagon. Objective of the Study This study will be conducted to: 1. Establish the formula and constant for the area of a thirteen-pointed star when:
INTRODUCTION
Background of the Study The word geometry originates from the Greek words geo meaning earth and metria which means measure. It is a branch of mathematics that deals with shapes and size. Geometry may be thought of as the science of space. Just as arithmetic deals with experiences that involve counting, so geometry describes and relates experiences that involve space. Basic geometry allows us to determine properties such as the areas and perimeters of two-dimensional shapes and the surface areas and volumes of three-dimensional shapes. People use formulas derived from geometry in everyday life for tasks such as figuring how much paint they will need to cover the walls of a house or calculating the amount of water a fish tank holds. The area is known to be the two-dimensional space occupied by a given figure measured by its length and width. This is to find out what other figures will occupy the space. In mathematics, a thirteen-pointed star or triskaidecagram is a self-intersecting, equilateral and equiangular star polygon. It has many forms, but for this study, the simplest form of a triskaidecagram was used. It is created by connecting every two vertices of a regular tridecagon, forming a tridecagon as its center and thirteen smaller outside triangles. The outside triangles are isosceles triangles and all are equal to each other; furthermore, the tridecagon can be divided into thirteen isosceles triangles which are also equal to each other. Diamonds are formed from the combined outer and inner triangles. Thirteen diamonds are formed from the divided triskaidecagram and they are equal to each other. In finding the area of a thirteen-pointed star, the usual form is getting the area of one of the outer triangles then multiply it by 13 and then adding it to the area of the tridecagon. Objective of the Study This study will be conducted to: 1. Establish the formula and constant for the area of a thirteen-pointed star when: