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Doubling a cube and trisecting any angle

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What tools did the greek use in geometric constructions?

A straightedge and compass.


Given only a compass and straightedge Greek geometers believed that many constructions were impossible to complete?

False


Given only a compass and straightedge Greek geometers were able to construct any geometric object they wished?

False (apex)


Is it possible or impossible doubling the square using a compass and a straightedge?

Doubling the square, which involves constructing a square with double the area of a given square using only a compass and straightedge, is impossible. This problem, also known as the "duplicating the square," was proven impossible in ancient Greek geometry due to its connection with the solution of cubic equations. Specifically, it requires constructing lengths that are not constructible using those tools alone.


What tools did Greek not use in geometric constructions?

Tracing paper, ruler.


What is the greek word for compass?

πυξίδα [peexEEda]


The ancient greek were ultimately able to prove that the constructions they thought impossible were in fact impossible?

False


Where was loadstone discovered?

Lodestone was discovered in the Greek island of MAGNESIA! This was the beginning of Lodestone and the compass.


What is the name of an old Greek instrument that helps people find their way at sea?

compass


Who was the first human on land?

According to Genesis, ADAM. by the way in Greek this name literally Boxes the compass, as the Greek words for North, East, South, and West all work out inthe ac ronymn-ADAM. This does not work in other languages, though. From all four corners of the compass.


In greek mythology who made the compass?

The magnetic compass was unknown to the ancient world. The earliest references to navigation by lodestone seem to come from China in the fourth century, and the technology does not certainly reach Europe until the middle ages. So there is no myth relating to the discovery of the compass.


Greek word for compassion?

sympathy (from Greek &sigma;&upsilon;&mu;&pi;&#940;&theta;&epsilon;&iota;&alpha; < &sigma;&upsilon;&nu;- +&pi;&#940;&theta;&omicron;&sigmaf; = co- +passion)In modern Greek is &sigma;&upsilon;&mu;&pi;&#972;&nu;&iota;&alpha; [simponia].&Sigma;&upsilon;&mu;&pi;&#940;&theta;&epsilon;&iota;&alpha; (sympathy-a) in modern Greek has the meaning of "to like someone".