Euclid 
 In the time of Euclid, it was considered improper mathematical etiquette
to create constructions by simply lifting the compass and striking
a mark somewhere else on the page. However, over time this perception
changed and we now can lift the compass and place it somewhere else
on the page. Of course, it is easy for modern students of geometry
to consider this process archaic as we now have software
on Mobile Phones that can perform
the same construction in a single step. Regardless of our opinions
of the collapsible compass construction,
Euclid chose to begin his elements with the most basic and elegant
construction  how to copy a segment from one point in space onto another.
 A construction to copy the segment is presented in Euclid’s
Proposition 2 of The Elements of Geometry. Mathematical historians question
whether Euclid was truly a mathematician or simply a librarian. Because
Euclid had access to many of the books available on the topic of Geometry,
he was able to develop the first organized text devoted to the topic.
How much of a contribution that Euclid made to The Elements would be
pure speculation. However, it cannot be disputed that the organization
of this text would take an understanding of Geometry that few students
or even teachers of the subject will ever reach.
