## The 360 Way

## O

## A Degree Kapi Venture

## Grade-7 Maths (Lines & Angles)

### GEOMETRY FROM NATURE

### LINES & ANGLES

3. Each pair of interior angles on the same side of the transversal are supplementary:

### MEASURING ANGLES – ACTIVITY

### CLASS 7: ANGLES - PRACTICE

### GEOMETRY FROM NATURE - Transcription

The motive for mathematical investigation in early times has been social needs, commercial and financial transactions, calendar reckoning, navigation, construction of bridges, churches etc. Intellectual curiosity, a zest for pure thought and search for beauty, led to pursuit of properties of numbers and geometric figures.

The study of geometry is helpful in all forms of art, architecture, engineering, physics, chemistry, medicine etc.

Though Geometry has been in the civilization of man from very early times, it was developed significantly by the Egyptians,Babylonians and Greeks. Later all concepts were unified by Euclid in his book called “ Elements”. It is true that all geometric concepts arise from and represent definite physical objects. For example, a stretched rope represents a line but the Greeks made all these concepts abstract. For instance, the colour and material of the rope is not under consideration when you think of a line.

The advantage is generality, so that the ideas are permanent and perfect. They did not realise or foresee the uses of their investigation which came much later.

There is no perfect straight line, circle or spheres in nature. So Euclid abstracted all the ideas by starting with some undefined terms and truths which were accepted unquestionably.

We will now see how our environment offers insights into the abstract concepts

described in the Euclidian Geometry.

position, without dimensions.

between it’s ends. It is also the shortest route from one end to the other.

explain the concept of infinity. It is larger than the largest that we can think of. We can

think about God’s Grace which is infinite.

encircled in red) is in the interior of the curve. The tree ( encircled in red) is in the

exterior of the curve.