rects

"rects" which I've laid out on the thick stripe in the original drawing.

LXer Linux News 2009

This axiom enables us to compare the lengths of any two segments either respectively on parallel rects or on the same rect.

The Concept of Nature The Tarner Lectures Delivered in Trinity College, November 1919 Alfred North Whitehead 1904

Congruence is extended in any space beyond parallel rects to all rects by two axioms depending on perpendicularity.

The Concept of Nature The Tarner Lectures Delivered in Trinity College, November 1919 Alfred North Whitehead 1904

Accordingly we can think of rects and levels as merely loci of event-particles.

The Concept of Nature The Tarner Lectures Delivered in Trinity College, November 1919 Alfred North Whitehead 1904

Evidently levels, rects, and puncts in their capacity as infinite aggregates cannot be the termini of sense-awareness, nor can they be limits which are approximated to in sense-awareness.

The Concept of Nature The Tarner Lectures Delivered in Trinity College, November 1919 Alfred North Whitehead 1904

By the aid of these two axioms the theory of congruence can be extended so as to compare lengths of segments on any two rects.

The Concept of Nature The Tarner Lectures Delivered in Trinity College, November 1919 Alfred North Whitehead 1904

The points of such an instantaneous space are event-particles and the straight lines are rects.

The Concept of Nature The Tarner Lectures Delivered in Trinity College, November 1919 Alfred North Whitehead 1904

Thus the parallelism of moments in a temporal series begets the parallelism of levels in an instantaneous space, and thence -- as it is easy to see -- the parallelism of rects.

The Concept of Nature The Tarner Lectures Delivered in Trinity College, November 1919 Alfred North Whitehead 1904

In parallelograms of the second type one pair of parallel sides is a pair of rects and the other pair is a pair of point-tracks.

The Concept of Nature The Tarner Lectures Delivered in Trinity College, November 1919 Alfred North Whitehead 1904

Parallelism among rects and levels is now explicable.

The Concept of Nature The Tarner Lectures Delivered in Trinity College, November 1919 Alfred North Whitehead 1904