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Ideas of Euclid, by Text
[Greek, 330  270 BCE, Born in Alexandria. Studied at the Academy in Athens. Died in Alexandria.]
290BCE

Elements of Geometry


p.1

9603

An assumption that there is a largest prime leads to a contradiction [Brown,JR]


p.24

8673

Euclid's parallel postulate defines unique nonintersecting parallel lines [Friend]


p.87

8738

Postulate 2 says a line can be extended continuously [Shapiro]


p.183

10250

Euclid needs a principle of continuity, saying some lines must intersect [Shapiro]


p.404

14157

Modern geometries only accept various parts of the Euclid propositions [Russell]

7 Def 1

p.194

9894

A unit is that according to which each existing thing is said to be one

72a17

p.149

1600

Euclid's common notions or axioms are what we must have if we are to learn anything at all
