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principal branches, so is that of the leaves on the shoots of the
same plant. These leaves have [Footnote 6: Quattro modi (four
modes). Only three are described in the text, the fourth is only
suggested by a sketch.
This passage occurs in MANZI'S edition of the Trattato, p. 399, but
without the sketches and the text is mutilated in an important part.
The whole passage has been commented on, from MANZI'S version, in
Part I of the Nuovo Giornale Botanico Italiano, by Prof. G.
UZIELLI (Florence 1869, Vol. I). He remarks as to the 'four modes':
"Leonardo, come si vede nelle linie sententi da solo tre esempli.
Questa ed altre inessattezze fanno desiderare, sia esaminato di
nuovo il manoscritto Vaticano". This has since been done by D.
KNAPP of Tubingen, and his accurate copy has been published by H.
LUDWIG, the painter. The passage in question occurs in his edition
as No. 833; and there also the drawings are wanting. The space for
them has been left vacant, but in the Vatican copy 'niente' has
been written on the margin; and in it, as well as in LUDWIG'S and
MANZI'S edition, the text is mutilated.] four modes of growing one
above another. The first, which is the most general, is that the
sixth always originates over the sixth below [Footnote 8: la sesta
di sotto. "Disposizione 2/5 o 1/5. Leonardo osservo probabilmente
soltanto la prima" (UZIELLl).]; the second is that two third ones
above are over the two third ones below [Footnote 10: terze di
sotto: "Intende qui senza dubbio parlare di foglie decussate, in cui
il terzo verticello e nel piano del primo" (UZIELLI).]; and the
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