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Figures for Marie-Thérèse Zenner's
Villard de Honnecourt and Euclidean Geometry

| Fig. 1 | Fig. 2 | Fig. 3 | Fig. 4 | Fig. 5 | Fig. 6 | Fig. 7 | Fig. 8 | Fig. 9 |

Fig. 9. Simplified illustration of 'harmonic' proportions A, B and C (drawing: Center for the Study of Architecture):

  • C is equal to the radius of the blue circles, the base line of the square, and the side of the equilateral triangle created by this case of Euclid 1.1. C is also the apex of a 105° triangle, whose base is determined by the intersections of the straight and 'curved' diagonals of the square.
  • A is equal to the dimension from the left end of the base line to the left point of the 105° triangle's base (as if this were an x/y graph).
  • B is equal to the dimension from the left end of the base line to the centroid of the 105° triangle (alternate construction method to that seen in Figure 8).
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Figure 9 for Marie-Thérèse Zenner

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