In this lesson, you will learn how to use geometry.
TERMINAL LEARNING OBJECTIVE:
You will learn how to use geometry for surveying operations.
You will be given the material contained in this lesson.
You will correctly answer the practice exercise questions at the end of this lesson.
REFERENCES: The material contained in this lesson was derived from TM 5-232, FM 5-233,
NAVEDTRA 10696, and CDC 3E551A.
Geometry deals with lines, angles, surfaces, and solids. In general, the lengths of lines or the sizes of
angles (measurable in degrees or parts of a degree) are not measured by divisions on a ruler but are
compared with one another. One of the most important uses of geometry is understanding other
branches of math, which are needed to solve problems relating to geodetic positions, elevations, areas,
or volumes of earthwork or other material. Also, understanding geometry helps in understanding
trigonometric principles. A surveyor will use geometry in his daily work.
PART A - LINES
3-1. General Information. A line is generated by a point in motion; it has the dimension of length but
not thickness. Dots and lines made on a drawing actually have thickness and are merely convenient
representatives of points and lines. A line that has the same direction for its entire length is called a
straight line. A line that changes in direction along its length is called a curved line. A flat surface is
generated by a straight line moving in a direction other than its length. A surface has the dimensions of
length and width but not thickness.