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Thought-Process to Discover Knowledge

Welcome to nubtrek.

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.
mathsConstruction / Practical Geometry (basics)4 Fundamentals Elements of Practical Geometry

### Fundamental Elements of Practical Geometry

In this page, a short and to-the-point summary of the four elements of practical geometry is provided.

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In practical geometry, we study about constructing

• line segments,

• angles

that make different plane-figures like triangles, rectangles, quadrilaterals, etc. Which of the following is a fundamental to practical geometry?

• constructing a line, an arc, an angle, and a parallel
• constructing collinear points, equidistant points, equiangular points, and parallel line.
• both the above
• both the above

The answer is "both the above"

The fundamental elements of practical geometry are

1. constructing a straight line using a ruler (which are points collinear to two points).

2. measuring a distance using a compass and marking an arc (which are points equidistant to the center).

3. measuring an angle using a protractor and marking a ray with the angle (which are points equiangular to the initial point)

4. constructing a parallel using set squares (which are points on a line parallel to a given line)

In the course of the lessons, the secondary elements and the end-applications will be explained. For example, bisecting a line or constructing a parallel line using a compass are some examples of secondary elements. The primary elements are used to construct the secondary elements.

And, constructing a square using the length of a diagonal or constructing a parallelogram are some examples of end-applications. These constructions use combination of primary and secondary elements.

Fundamental Elements of Practical Geometry :

1. constructing a line connecting 2 points

2. constructing an arc of given radius

3. constructing an angle of given measure

4. constructing a parallel at a given distance to a line

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