Analysis of a point on line segments in geometry analytical concepts

Abstract

Points and lines are the most basic elements of geometry. If there are two points, one line can be made through these two points. In the Euclide field every point P has a coordinate in the form of a real number (x 1, y 1) and is called a coordinate point. Vector is a trending line segment, for example vector v = (x 1, y 1) can be determined as a vector with a starting point 0 = (0,0) and ends at point P = (x 1, y 1). A line in analytic concepts can be expressed as a combination of vectors and equal points. The purpose of the study is to examine the position of a point located on the line segment. This point is between or extension of a line of two different points and is represented in the form of a parameter equation.