Proposition 21

"Proposition 21," collage, acrylic, ink, 8" x 8", © 2013 Wendy Tribulski

“Proposition 21,” collage, acrylic, ink, 8″ x 8″, © 2013 Wendy Tribulski

Both the artwork and the math for Propositions 18 through 22 form a group.  Math-wise these propositions are about how the sides of triangles and the angles they subtend relate.   Triangles math-wise led to bridges, structures, and machines art-wise.

Since Propositions 18 and 19 are two sides of the same statement, the artwork for both uses a vintage drawing from a patent for…not sure what…. but the structure for this machine is, of course, a triangle, a stable and rigid building structure.  The artwork for proposition 20 uses the triangular structures for a bridge, at various scales.  The artwork for Proposition 21 uses yet another vintage machine drawing.  And in the artwork for Proposition 22, I’ve used appropriately scaled circles from a lightbulb and a gear to draw the proof itself.

Although Euclid was writing about abstractions, the geometrical relationships are used all the time in some very real, down-to-earth stuff.

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s