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Doubling a cube

Trisecting any angle

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What tools did Greeks use in geometric construction?

A straightedge and compass.


What Greek constructions were never accomplished with only a straightedge and a compass?

Doubling a cube and trisecting any angle


What were thing never accomplished by the Greeks with only a straightedge and compass?

The ancient Greeks famously attempted to solve three classical problems using only a straightedge and compass: squaring the circle, doubling the cube, and trisecting an angle. Squaring the circle involves constructing a square with the same area as a given circle, which was proven impossible due to the transcendental nature of π. Doubling the cube and trisecting an angle also turned out to be impossible with those tools, as they require solutions that involve cube roots and specific angles that cannot be achieved through simple constructions.


Are Greeks and Athenians the same thing?

Although Athenians were Greeks, not all Greeks were Athenians.


What five tools allowed the Greeks to use the five basic postulates of euclidean geometry?

The five tools that enabled the Greeks to utilize the five basic postulates of Euclidean geometry are the straightedge, compass, ruler, protractor, and a set square. The straightedge was used for drawing straight lines, while the compass allowed for the construction of circles and arcs. The ruler helped measure lengths, and the protractor was essential for measuring angles. The set square facilitated the construction of right angles and parallel lines, supporting the geometric principles established by Euclid.

Related Questions

What constructions were never accomplished by the Greeks with only a straightedge and a compass?

doubling a cube and trisecting any angle


What constuctions were never accomplished by the Greeks with only a straightedge and a compass?

A. Trisecting any angle B. Doubling a cube


Which of the following constructions were never accomplished by the Greeks with only a straightedge and compass?

Squaring the circle, duplicating the cube, and trisecting an angle were constructions that were never accomplished by the Greeks with only a straightedge and compass. These are known as the three classical geometric problems that cannot be solved using only those tools.


What constructions were not accomplished by Greeks?

The Eiffel Tower, the Sydney Opera House, The Forbidden City, The Post office Tower, The Eddystone Light, The Taj Mahal, the Pantheon, The Empire state Building are just a few of the millions of constructions that were NOT accomplished by the Greeks.


How was life in the US for Greeks?

The Greeks never lived in the u.s.


What tools did Greeks use in geometric construction?

A straightedge and compass.


What did the Greeks become masters of and eventually building?

Construction in stone.


What other construction advances were made by the greeks?

Ship construction, temples, war machines, 'engines' and many more.


What god did Romans gave him honors and never earned from the Greeks?

the romans gave him honors he never earned form the greeks


Why did'NT the Greeks measure things with a ruler instead of creating construction?

because no construction literally means no buildings and houses and rulers are just nah


What tools did the Greeks use in geometry construction?

Saws, chain saws,cutting tools etc.


Has anyone ever jumped the Grand Canyon successfully?

No, that has never been accomplished.