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lower right in black ink: I. Rice Pereira / December 25 1954

text on image:
IV Renaissance Image of the world-view
The Image as an optical cross-section in Perspective
The shape of the world has no reality if what is recorded is merely an optical illusion of a cubed cross-section of half a sphere.
Euclidean geometry defines a 2 dimensional world.
Perspective is a geometry of optics defining an illusion of a cross-section of a cubic dimension. Hence, it would follow that the representation of solids in space and the optical visual representation of the world in perspective have been different. In addition Euclidean geometry avoids the infinite - perspective includes the infinite.

Provenance

the artist, New York; Corcoran Gallery of Art, Washington, DC, 1968; acquired 2015 by the National Gallery of Art

Bibliography
1957
Pereira, I. Rice. The Lapis. New York: George Wittenborn, 1957, p. 29.
1983
Simmons, Linda Crocker and with the assistance of Adrianne J. Humphrey, et al. American Drawings, Watercolors, Pastels, and Collages in the Collection of the Corcoran Gallery of Art. Washington, DC: Corcoran Gallery of Art, 1983: p. 202, no. 1363.