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B. The theory of Dome Architecture.
This subject has been more extensively treated by Leonardo in
drawings than in writing. Still we may fairly assume that it was his
purpose, ultimately to embody the results of his investigation in a
"Trattato delle Cupole." The amount of materials is remarkably
extensive. MS. B is particularly rich in plans and elevations of
churches with one or more domes--from the simplest form to the most
complicated that can be imagined. Considering the evident connexion
between a great number of these sketches, as well as the
impossibility of seeing in them designs or preparatory sketches for
any building intended to be erected, the conclusion is obvious that
they were not designed for any particular monument, but were
theoretical and ideal researches, made in order to obtain a clear
understanding of the laws which must govern the construction of a
great central dome, with smaller ones grouped round it; and with or
without the addition of spires, so that each of these parts by
itself and in its juxtaposition to the other parts should produce
the grandest possible effect.
In these sketches Leonardo seems to have exhausted every imaginable
combination. [Footnote 1: In MS. B, 32b (see Pl. C III, No. 2) we
find eight geometrical patterns, each drawn in a square; and in MS.
C.A., fol. 87 to 98 form a whole series of patterns done with the
same intention.] The results of some of these problems are perhaps
573
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