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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.
What else can I help you with?
What constructions were never accomplished by the Greeks with only a straightedge and a compass?
doubling a cube and trisecting any angle
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 did the Greeks use in geometric constructions?
A straightedge and compass.
What tools did the Greeks not use in geometric constructions?
Tracing paper, ruler.
The ancient Greeks were ultimately able to prove that the constructions they thought impossible were impossible?
False
What Greek constructions were never accomplished with only a straightedge and a compass?
Doubling a cube and trisecting any angle
Who invented constructions?
Greeks and Romans came up with it, I believe. A long, long time ago.
Although the Greeks thought some constructions impossible all of the so called impossible problems were later proven to be possible in the 18th and 19th centuries?
This statement is false. Although the Greeks thought some constructions impossible, not all of the so called impossible problems were later proven to be possible.
What tools did the Greeks use in their formal geometric constructions?
ruler tracing paper those are the wrong answers its Straightedge & Compass
What construction was never accomplished by the Greeks?
Doubling a cube Trisecting any angle
What are the constructions that were never accomplished by the Greeks with only a straightedge and compass?
The Greeks famously struggled with three classical problems: duplicating the cube, which involves constructing a cube with twice the volume of a given cube; trisecting an arbitrary angle; and squaring the circle, which entails constructing a square with the same area as a given circle. These constructions were proven impossible using only a straightedge and compass due to limitations in algebraic methods and the nature of the numbers involved. The impossibility of these tasks was established through the development of modern mathematics, particularly in the 19th century with the advent of field theory and Galois theory.
Many of the same constructions the Greeks performed only with straightedge and compass can be done using only a straightedge and tracing paper?
True
