Two figures are tangents when the have only one point in common, called point of tangency. The union of curves with straight lines or with other curves as a result of tangency is called LINKAGE.
You can find designs based on tangencies in all areas of Art and design.
The most common tangencies in geometric drawings are those between straight lines and circumferences or between circumferences.
BASIC PROPERTIES OF TANGENCIES
1. First theorem
A straight line is tangent to a circumference when they have only one point (T) in common. The radius of the circumference at the point of tangency is at right angle to the tangent.
2. Second theorem
A circumference is tangent to two straight lines from a common point if its centre is on the angle bisector of the angle formed by the straigt lines.
3. Third theorem
Two circumferences are tangent if they have one point in common, lined up with the centres of the circumferences. The distance between the centres is the addition of the two radius.
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