Page:Ware - The American Vignola, 1920.djvu/37

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GEOMETRICAL RELATIONS
27

extending from h to the center should be divided into three equal parts, through which the corners of the inscribed fret will turn. The point l on the line h k, marking the lower left-hand corner of the inscribed fret, is located five-sixths of the distance between h and the point where h k bisects the lower side of the square. l then forms the center for the arc k m, and the rest of the volute is described from centers found at the angles of the inscribed fret.

VERTICAL LINES

The outer line of the upper Diameter of the Shaft gives, in all the Orders, Figs. 84 and 85:

  1. The face of the lower band of the Architrave, and
  2. The face of the Frieze.

In the Denticulated Doric, it gives, Fig. 85:

  1. The outer face of the first Dentil, next the Double Dentil.

In the Ionic and Corinthian Orders, it gives, Figs. 84 and 85:

  1. The axis of the first Interdentil.

The outer line of the lower Diameter of the Shaft, produced upwards, gives, Figs. 84 and 85:

  1. The projection of the Astragal, in all the Orders, except the Tuscan and Doric.
  2. The projection of the Taenia in the Tuscan and Doric.
  3. The projection of the Fillet, in the Bed Mold of the Mutulary Doric, Fig. 85.
  4. Twice the projection of the Triglyph which is seen in profile.
  5. Half the projection of the Tuscan Bed Mold, of the Tuscan and Doric Abacus, and of the Doric Mutule Band.

It also gives:

  1. The Axis of the Extreme Dentil, or of the first half of the Double Dentil, in the Denticulated Doric, Ionic, Corinthian, and Composite Orders, Figs. 92, 93, 94, and 95.
  2. The position of the Eye of the Ionic Scroll, which is on a level with the bottom of the Echinus, Fig. 91.