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Euclid's first axiom
a straight line can be drawn between any two points
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Euclid's second axiom
any terminated straight line can be projected indefinitely
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Euclid's third axiom
a circle with any radius can be drawn around any point
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Euclid's fourth axiom
all right angles are equal
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Euclid's fifth axiom, parallel axiom
only one line can be drawn through a point parallel to another line