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16 Cards in this Set
- Front
- Back
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Doubling the Cube
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given a cube construct another cube with twice the volume
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Theory of Proportions
Method of Exhaustion |
Eudoxus
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Trisecting the General Angle
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Given an angle, divide it into three equal parts
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Trigonometry
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Hipparchus, Mentalaus, Ptolemy
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The orbits of the planets
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Aristarchus, Hipparchus, Ptolemy
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The volumes of cones, cylinders, and hemispheres
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Archimedes
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The theory of proportions
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Eudoxus
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The size of the Earth
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Arosthothenes
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Parallel Postulate
5th Postulate |
Much more complicated less intuitive thus people tried to replace or get rid of it.
Greeks had difficulty because there tools were not accurate. |
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Poles and polars
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Apollonius
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The parallel postulate
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Euclid
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Conic Sections
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Apollonius
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Objects floating or immersed in water
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Archimedes
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3 Major Accomplishments of Archimedes
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Pi--He narrowed it down between 223/71 and 22/7
The Sand Reckoner--how many grains of sand it would take to completely fill the Earth. |
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Squaring the circle
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Given a circle, construct a square with the same area
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Problems with integer or rational solutions
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Diaphantus
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