Abstract
The geometry has been one of the key tools used by twentieth century architects. If the research is delimitated by relationship between two of the most important elements of it, the straight line and the curve by mean of the study of three paradigmatic houses, we can focus on the importance of the geometric conception of domestic space at different scales and at different historical moments. In a first approach the straight-line relationship through the Le Corbusier’s mother’s house on the Lake Leman (1925) is studied, then the dialogue between the straight and curved geometry in the House Baensch by Hans Scharoun is analyzed (1934), to put an end with the binomial curvedcurved observed on the Toyo Ito U-House in Tokio (1976). This geometric duality has played a major role in the conception of architectural design.
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