Many of the constructions that the Greeks thought impossible were later proven impossible in the 18th and 19th centuries.A.TrueB.FalseSUBMITarrow_backPREVIOUS

The statement is: "Many of the constructions that the Greeks thought impossible were later proven impossible in the 18th and 19th centuries."

Analysis

1. The Greeks were known for their contributions to mathematics, particularly in geometry. They posed various construction problems, such as squaring the circle, doubling the cube, and trisecting an angle.
2. In the 18th and 19th centuries, it was established through the work of mathematicians like Pierre Wantzel that certain classical problems could not be solved using only a compass and straightedge.
3. Thus, the Greeks’ intuitions about the impossibility of certain constructions were later confirmed through formal proof.

Final Answer

A. True