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Proposition I.30 --> straight lines parallel to the same straight line will also be parallel to...

Proposition I.30 --> straight lines parallel to the same straight line will also be parallel to the one another.

Prove each of the following:

(a) Playfair's axiom by assuming proposition I.30

(b) Proposition I.30 by assuming Proclus's axiom

(c) Proposition I.30 by assuming Playfair's axiom

(d) Proclus's axiom by assuming Playfair's axiom

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