SIVAS, 2014. Film still.

All the propositions in projective geometry occur in dual pairs, which have the property that, starting from either proposition of a pair, the other can be immediately inferred by interchanging the parts played by the words 'point' and 'line'.

 

– Johnson Casey, 1893[1]

 

 

In Deleuze and Guattari's work there is an emphasis on the expression 'se rabat sur', which refers to the phrase, 'to fall back onto': a term in projective geometry.[2] It is like knowing that a line that appears short actually indicates a long line with an angle when rendered on an architectural plan. Or it is like knowing that things, events, and people can be perceived and experienced differently, and it is only a matter of where points and lines are placed, positioned, or intersect. Our distances and viewpoints to different realities, different lives, different conditions, different dreams, and different fallacies shape our assumptions in life. This screening program, which consists of four chapters and a feature film, responsively reflects on such shifting perspectives.

 

[1] Casey, J. "Theory of Duality and Reciprocal Polars." Ch. 13 in A Treatise on the Analytical Geometry of the Point, Line, Circle, and Conic Sections, Containing an Account of Its Most Recent Extensions, with Numerous Examples, 2nd ed. f rev. enl. Dublin: Hodges, Figgis, &; Co., pp. 382, 1893.

 

[2] Projective geometry is branch of mathematics that deals with the relationships between geometric figures and the images, or mappings that result from projecting them onto another surface. Common examples of projections are the shadows cast by opaque objects and motion pictures displayed on a screen. http://global.britannica.com/EBchecked/topic/478486/projective-geometry.

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