DOI Seite / Zitierlink:
https://doi.org/10.11588/diglit.4423#0135
98
THE CITKYES OF THE HORIZONTAL LINES,
etc., etc., the raking line in the Cornice of the Pediment is set out as a curved line; and this
Mr. Penrose found to be the case, by measurement, in the Pediment of the Temple of Theseus.
Figs. 1, 2, 3, and 5.—To Determine by Calculation the Curvature of the Upper
Step on the Return Sides, the Curvature of the Upper Step in the Portico
being given.
From direct observation, both of the Parthenon and also of the Temple of Theseus, we
find that the amount of curvature given to the line of the Upper Step on the return sides of
the Temples, is made to depend altogether upon the amount of curvature which is given to
the line of the Upper Step of the Portico, and that the Greeks appear not to have objected to
the horizontal lines on the return sides of the building appearing slightly convex. Their aim
seems to have been, not so much to make the lines appear mathematically straight, as to
remove every trace of an apparent concave appearance in them.
On the return side it is simply required to determine a third point, B2, in the curve of
the Upper Step, and this appears to have been set out in the following manner—
The curve of the Upper Step of any given Portico being accurately determined by
calculation, then set out upon the pavement, perfectly level, the diagonal line bcB2 of the
square BD, see Figs. 1 and 2, the Plans of the Parthenon and of the Temple of Theseus;
then c will be the point of the Upper Step at the angle of the Inner Portico, and B2 will
be the required third point in the curve of the Upper Step on the return side.
Fig. 2. The serum.
>• ♦• •♦ •♦
\ Be
Bi
Thus the amount of curvature in the segment of the circle forming the Upper Step on
the return side, is made to depend altogether upon the amount of curvature that is given to
the Upper Step of the Portico, and the rise of the curve Cm, Fig. 3, in the centre of the Step,
measured above the chord BBl, is determined on the return side by calculation, the given
THE CITKYES OF THE HORIZONTAL LINES,
etc., etc., the raking line in the Cornice of the Pediment is set out as a curved line; and this
Mr. Penrose found to be the case, by measurement, in the Pediment of the Temple of Theseus.
Figs. 1, 2, 3, and 5.—To Determine by Calculation the Curvature of the Upper
Step on the Return Sides, the Curvature of the Upper Step in the Portico
being given.
From direct observation, both of the Parthenon and also of the Temple of Theseus, we
find that the amount of curvature given to the line of the Upper Step on the return sides of
the Temples, is made to depend altogether upon the amount of curvature which is given to
the line of the Upper Step of the Portico, and that the Greeks appear not to have objected to
the horizontal lines on the return sides of the building appearing slightly convex. Their aim
seems to have been, not so much to make the lines appear mathematically straight, as to
remove every trace of an apparent concave appearance in them.
On the return side it is simply required to determine a third point, B2, in the curve of
the Upper Step, and this appears to have been set out in the following manner—
The curve of the Upper Step of any given Portico being accurately determined by
calculation, then set out upon the pavement, perfectly level, the diagonal line bcB2 of the
square BD, see Figs. 1 and 2, the Plans of the Parthenon and of the Temple of Theseus;
then c will be the point of the Upper Step at the angle of the Inner Portico, and B2 will
be the required third point in the curve of the Upper Step on the return side.
Fig. 2. The serum.
>• ♦• •♦ •♦
\ Be
Bi
Thus the amount of curvature in the segment of the circle forming the Upper Step on
the return side, is made to depend altogether upon the amount of curvature that is given to
the Upper Step of the Portico, and the rise of the curve Cm, Fig. 3, in the centre of the Step,
measured above the chord BBl, is determined on the return side by calculation, the given