Interoperable interactive geometry for Europe
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"Constructor" symbols are those that indicate in a straightforward way how to build a new element form older ones. For instance, building a line through two points.

"Algorithmic" symbols are those that construct a new element as a result of doing some operation on older ones. For instance, obtaining the intersection point of two lines.

"Property" symbols are those that construct one or more new elements from a unique older element. Basically, these symbols extract some properties from the older symbol. For instance, center_of_a_circle could be seen as a function that returns a property of a circle.