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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 simple thought process to construction problems in practical geometry.

In the lesson on basics, the four fundamental elements of practical geometry is explained. And, the construction of various shapes using the fundamental elements is explained.

That is extended to the following.

• Construction of triangles using secondary information (sum of sides, difference of sides, and perimeter of sides).

• Scaling of lines, triangles, and other shapes.

• Consturction of elements of circle (tangents and chords)

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. *(click for the list of lessons in this topic)*

Construction of Triangles with Secondary Information

In this page, a short overview of constructing triangles using secondary parameters is provided. The primary parameters are the 3 sides and 3 angles. The secondary parameters are sum of two sides, difference of two sides, and perimeter. Construction of triangles using the secondary parameters is studied.

It covers the following.

• side-angle-sum of sides

• side-angle-difference between sides

• angle-angle-perimeter

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.

The pages in this lesson are

__Construction of Triangles With Secondary Information__ *redo *

__Construction of Triangles using Angle, Side, Sum of 2 Sides__ *redo *

__Construction of Triangles using Angle, Side, difference between 2 Sides__ *redo *

__Construction of Triangles using Angle, Side, Negative difference between 2 Sides__ *redo *

__Construction of Triangles using Angle, Angle, Perimeter__ *redo *

Scaling of Lines and Shapes

In this page, a short overview of scaling various geometrical shapes is provided. It covers the following.

• Scaling a line segment

• Scaling a triangle

• Scaling a polygon.

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 Chord, and Tangents to Circle

In this page, a short overview of constructing tangents and chords to a circle is provided. It covers the following.

• Construction of a tangent on a point on the circle

• Construction of tangents from a point outside the circle

• Construction of chords of a given length

• Construction of chords at a distance from the center

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.