The Ten Books on Architecture, 5.7.1

Vitruvius  translated by Joseph Gwilt

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7In the theatres of the Greeks the design is not made on the same principles as those above mentioned. First, as to the general outline of the plan: whereas, in the Latin theatre, the points of four triangles touch the circumference, in the theatres of the Greeks the angles of three squares are substituted, and the side of that square which is nearest to the place of the scene, at the points where it touches the circumference of the circle, is the boundary of the proscenium. A line drawn parallel to this at the extremity of the circle, will give the front of the scene. Through the centre of the orchestra, opposite to the proscenium, another parallel line is drawn touching the circumference on the right and left, then one foot of the compasses being fixed on the right hand point, with a radius equal to the distance from the left point, describe a circle on the right hand side of the proscenium, and placing the foot of the compasses on the left hand point, with the distance of the right hand interval, describe another circle on the left side of the proscenium.

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