## Tangencies

Links are part of our life. When two geometric figures are tangent, they have continuity with each other. Which generates smooth shapes and without sudden changes. In the design world they are used frequently,

I HAVE ATTACHED SOME EXAMPLES…    I want you to see these tutorials in this order, they are examples of what you will do later in your sketchbook with other information:

0.Tangencies explanation and rules

1. First example: Straight line tangent to a circumference

2. Second example: Two tangent lines to a circumference from an exteranl point P

We are going to do these exercises :

nº1: Draw a tangent line to a circumference whose radius measures 4 cm using your compass. Free  tangency point.

nº2: Draw two tangent lines to a circumference whose radius measures 3 cm from an external  P point.  Free  P point.

The last video is to see how to present the exercises.

Watch the tutorials following this order:

1. Tangencies nº3

2. Tangencies nº4

3. Tangencies nº5

4. Img 0577

This week we have to do these three exercises:

nº3: Draw an external tangent circumference whose radius measures 2’5 cm to another circumference whose radius measures 4 cm. Free tangency point.

nº4: Draw an internal tangent circumference whose radius measures 2’5 cm to another circumference whose radius measures 4 cm. Free tangency point.

nº5: Draw two tangent circumferences whose radius measure 3’5 cm, to another two circumferences whose radius measure 4 and 3cm respectively and the distance between their centers is 9 cm.

This video is to show you how to present the exercises:

Artistic application of tangencies:

This fly has been made using tangencies. THE SAME FLY MADE BY STUDENTS