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Thought-Process to Discover Knowledge

Welcome to **nub****trek**.

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.continue

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.continue

Welcome to the only place where practical geometry is explained in an *ingenious and simplified form*.

The geometrical instruments are introduced as *four fundamental elements of practical geometry*

• collinear points (straight-line using a ruler)

• equidistant points (arch using a compass)

• equiangular points (angle using a protractor)

• parallel points (parallel using set-squares)

Based on the four fundamental elements, the topics in practical geometry are explained. *(click for the list of lessons in this topic)*

4 Fundamentals Elements of Practical Geometry

Welcome to the *ingenious lessons that redefine how students learn*. The geometrical instruments are introduced as *four fundamental elements of practical geometry*

• collinear points (straight-line using a ruler)

• equidistant points (arch using a compass)

• equiangular points (angle using a protractor)

• parallel points (parallel using set-squares)

These four fundamental elements are explained in the following lessons.

Basic Shapes: Lines, Circles, Angles

The topics in this cover the *simple-thought-process* to constructing the following

• line segment

• circle

• copying a line-segment

• copying an angle

Secondary Elements of Practical Geometry

The topics in this cover a *simple-thought-process* to constructing the following

• perpendicular bisector

• perpendicular line on a point

• perpendicular line to a point

• bisector of an angle

The reasoning on how each of the procedures work is provided in a simple thought-process, which makes it easy for students to retain knowledge and work out the procedure.

Standard angles Using Campus

A *simple-thought-process* to constructing standard angles (`60^@`, `30^@`, `15^@`, `120^@`, `90^@`) using a compass are provided.

The reasoning on how each of the procedures work is provided, which makes it easy for students to retain knowledge and work out the procedure.

Construction of Triangles (Fundamental Shape of Polygons)

This provides a simple thought process to construction of triangles using given 3 parameters.

• side-side-side

• side-angle-side

• angle-side-angle

• rightangle-hypotenuse-side

• side-angle-latitude

This also analyses why the following do not work

• angle-angle-angle (only 2 parameters)

• side-side-angle (two possible triangles)

• side-side-altitude (two possible triangles)

Construction of Quadrilaterals

This provides a simple thought process to construction of quadrilaterals of various forms.

• Irregular Quadrilateral

• Parallelogram

• Rhombus

• Rectangle

• Square

• Trapezium

• Kite

This ingenious lesson provides a method to approach the contruction : Consider these as combination of two triangles of forms (sss, sas, asa, rhs, sal) and use the methods studies earlier.