Final answer:
The Greeks believed that certain geometric constructions were impossible using only a compass and straightedge.
Step-by-step explanation:
The subject of this question is History and it relates to the ancient Greeks' understanding of geometry and construction. The Greeks believed that certain constructions were impossible to complete using only a compass and straightedge.
The mathematician Euclid, in his book 'Elements,' provided a list of constructions that could be completed using these tools, but there were limitations to what could be done. For example, trisecting an angle or doubling the volume of a cube were considered impossible.
These beliefs played a significant role in the development of geometry and mathematical understanding during ancient times.
Learn more about Greeks' understanding of geometry and construction