1. The Greek mathematician Menaechnus (350 B.C.) obtained a purely theoretical solu-tion to the duplication problem based on"conic sections". In modern notation, he drew two curves x2Then he found two intersection points, (0,0) and (x,y). Show this x gives an answerto the doubling the cube problem.finding the point of intersection of certainay and y22ax.

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Asked Sep 7, 2019
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1. The Greek mathematician Menaechnus (350 B.C.) obtained a purely theoretical solu-
tion to the duplication problem based on
"conic sections". In modern notation, he drew two curves x2
Then he found two intersection points, (0,0) and (x,y). Show this x gives an answer
to the doubling the cube problem.
finding the point of intersection of certain
ay and y2
2ax.
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1. The Greek mathematician Menaechnus (350 B.C.) obtained a purely theoretical solu- tion to the duplication problem based on "conic sections". In modern notation, he drew two curves x2 Then he found two intersection points, (0,0) and (x,y). Show this x gives an answer to the doubling the cube problem. finding the point of intersection of certain ay and y2 2ax.

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Expert Answer

Step 1

To justify Manaechnus's geometric method to solve "dublication of cube" problem

Step 2

The duplication of cube problem consists in finding a solution (algebraic or geometric) to the equation z^3 = 2a^3; ...

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