Page:Carroll - Euclid and His Modern Rivals.djvu/75

. II. § 4.] {|
 * III.
 * Containing five Propositions, taken from Table II, which have been proposed as Axioms.
 * Containing five Propositions, taken from Table II, which have been proposed as Axioms.
 * Containing five Propositions, taken from Table II, which have been proposed as Axioms.

A Pair of Lines, which have a separate point and make, with a certain transversal, two interior angles on one side of it together less than two right angles, are intersectional on that side.



A Pair of Lines, which have a separate point and of which one has two points on the same side of, and not equidistant from, the other, are intersectional.



Through a given Point, without a given Line, a Line may be drawn equidistantial from the given Line.



A pair of intersectional Lines cannot both be separational from the same Line.
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