dilatational
- adjective
- /ˌdɪləˈteɪʃənl/
- Specialized
- A dilatational change in the figure increased all distances from the center by a factor of three.
Examples
-
The mathematician explained the dilatational properties of the transformation to the students.
-
In geometry, dilatational transformations are important.
-
Engineers studied the dilatational effects on the material when subjected to uniform expansion.
-
The dilatational effect on the material was significant.
-
The mathematician explained the dilatational properties of geometric transformations that stretch figures from a center point.
-
A dilatational change in the shape resulted in all distances being multiplied by a constant factor.
-
Engineers examined the dilatational changes in dimensions during the thermal expansion of the materials.
Surface Forms
Morphology
dilatational = dilatation (semi-transparent) = dilat + ation + al
The word is still built regularly from 'dilatation' plus '-al', but the geometric sense is a specialized technical application.
Etymology
Dilatational comes from the same root dilate, which means 'spread out', and this gives a simple picture in math: points move away from a centre. So a dilatational change in geometry makes every point move away from the centre in the same way, making the whole shape bigger but keeping its form.