Universitätsbibliothek HeidelbergUniversitätsbibliothek Heidelberg
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Pennethorne, John; Robinson, John [Ill.]
The geometry and optics of ancient architecture: illustrated by examples from Thebes, Athens, and Rome — London [u.a.], 1878

DOI Seite / Zitierlink:
https://doi.org/10.11588/diglit.4423#0044

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THE FIEST GIVEN PEOPOETIONS. 21

to those corrections which were essential to produce an apparent harmony between all the parts
of the finished executed design.

The information derived from any ancient sources, except from the actual remains of
Greek Art, is but slight, but the works of Greek Architecture of the age of Pericles were
executed with such extreme precision, and remain to the present time so perfect, that we are able
from them inductively to recover the original laws and principles that appear to have guided the
Athenian Architects in the designing of their most perfect works. We shall, therefore, pass
on at once to the consideration of the first given Proportions of the several Athenian Porticoes.

PLATE III.

THE FIEST GIYEN PROPORTIONS OF THE ATHENIAN PORTICOES AS

DERIVED FROM OBSERVATION.

Trusting to direct observation, we shall proceed

First. To clear the several Athenian remains of Greek Architecture of the irrational
quantities that by measurement may be found to exist, and to substitute instead
the nearest magnitudes which shall be found to be commensurable one with
another.

Secondly. To express the ratios between the commensurable magnitudes in the
simplest numerical forms, instead of the actual dimensions, and then, by com-
paring together the several selected examples of the Doric and Ionic orders, to
ascertain, when thus cleared and reduced, whether any general and constant
Proportions can be discovered that may serve as a basis for the calculations that
may be requisite to determine the corrections, that Plato and Vitruvius allude
to, when they refer to the second kind of Proportion, namely, the apparent
Proportion.

The measured heights of the Steps, the Columns, the Entablatures, and the
Pediments, in the following Porticoes, viz., the Parthenon, the Theseium, the
West Portico of the Propylsea, the East Portico of the Erechtheium, and the
West Portico of the Erechtheium, also the true length of the Upper Step in
each example.

Column I. '

Column II.

' The heights of the Steps, the Columns, the Entablatures, and the Pediments, in
the several measured Porticoes, cleared of all irrational or incommensurable
quantities, when compared with the length of the Upper Step, and the nearest

, commensurable magnitudes substituted.
 
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