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The Notebooks of Leonardo Da Vinci, Volume 2

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743.

The construction of the stairs: The stairs _c d_ go down to _f g_,
and in the same way _f g_ goes down to _h k_.

744.

ON MOVING HOUSES.

Let the houses be moved and arranged in order; and this will be done
with facility because such houses are at first made in pieces on the
open places, and can then be fitted together with their timbers in
the site where they are to be permanent.

[9] Let the men of the country [or the village] partly inhabit the
new houses when the court is absent [12].

[Footnote: On the same page we find notes referring to Romolontino
and Villafranca with a sketch-map of the course of the "Sodro" and
the "(Lo)cra" (both are given in the text farther on). There can
hardly be a doubt that the last sentence of the passage given above,
refers to the court of Francis I. King of France.--L.9-13 are
written inside the larger sketch, which, in the original, is on the
right hand side of the page by the side of lines 1-8. The three
smaller sketches are below. J. P. R.]

_II. Plans for canals and streets in a town.

Pl. LXXIX, 1. and 2, (MS. B, 37b, see No. 745, and MS. B. 36a, see
No. 746). A Plan for streets and canals inside a town, by which the
cellars of the houses are made accessible in boats.

The third text given under No. 747 refers to works executed by
Leonardo in France._

745.

The front _a m_ will give light to the rooms; _a e_ will be 6
braccia--_a b_ 8 braccia --_b e_ 30 braccia, in order that the rooms
under the porticoes may be lighted; _c d f_ is the place where the
boats come to the houses to be unloaded. In order to render this
arrangement practicable, and in order that the inundation of the
rivers may not penetrate into the cellars, it is necessary to chose
an appropriate situation, such as a spot near a river which can be
diverted into canals in which the level of the water will not vary
either by inundations or drought. The construction is shown below;
and make choice of a fine river, which the rains do not render
muddy, such as the Ticino, the Adda and many others. [Footnote 12:
_Tesino, Adda e molti altri, i.e._ rivers coming from the mountains
and flowing through lakes.] The construction to oblige the waters to
keep constantly at the same level will be a sort of dock, as shown
below, situated at the entrance of the town; or better still, some
way within, in order that the enemy may not destroy it [14].

[Footnote: L. 1-4 are on the left hand side and within the sketch
given on Pl. LXXIX, No. I. Then follows after line 14, the drawing
of a sluicegate--_conca_--of which the use is explained in the text
below it. On the page 38a, which comes next in the original MS. is
the sketch of an oval plan of a town over which is written "_modo di
canali per la citta_" and through the longer axis of it "_canale
magior_" is written with "_Tesino_" on the prolongation of the
canal. J. P. R.]

746.

Let the width of the streets be equal to the average height of the
houses.

747.

The main underground channel does not receive turbid water, but that
water runs in the ditches outside the town with four mills at the
entrance and four at the outlet; and this may be done by damming the
water above Romorantin.

[11]There should be fountains made in each piazza[13].

[Footnote: In the original this text comes immediately after the
passage given as No. 744. The remainder of the writing on the same
page refers to the construction of canals and is given later, in the
"Topographical Notes".

Lines 1-11 are written to the right of the plan lines 11-13
underneath it. J. P. R.]

[Footnote 10: _Romolontino_ is Romorantin, South of Orleans in
France.]

_III. Castles and Villas.

A. Castles.

Pl. LXXX, No. 1 (P. V. fol. 39b; No. d'ordre 2282). The fortified
place here represented is said by Vallardi to be the_ "castello" _at
Milan, but without any satisfactory reason. The high tower behind
the_ "rivellino" _ravelin--seems to be intended as a watch-tower.

Pl. LXXX, No. 2 (MS. B, 23b). A similarly constructed tower probably
intended for the same use.

Pl. LXXX, No. 3 (MS. B). Sketches for corner towers with steps for a
citadel.

Pl. LXXX, No. 4 (W. XVI). A cupola crowning a corner tower; an
interesting example of decorative fortification. In this
reproduction of the original pen and ink drawing it appears
reversed.

B. Projects for Palaces.

Pl. LXXXI, No. 2 (MS. C. A, 75b; 221a, see No. 748). Project for a
royal residence at Amboise in France.

Pl. LXXXII, No. 1 (C. A 308a; 939a). A plan for a somewhat extensive
residence, and various details; but there is no text to elucidate
it; in courts are written the three names:

Sam cosi giova
_(St. Mark)_ _(Cosmo)_ _(John)_,
arch mo nino

C. Plans for small castles or Villas.

The three following sketches greatly resemble each other. Pl.
LXXXII, No. 2 (MS. K3 36b; see No. 749)._

_Pl. LXXXII, No. 3 (MS. B 60a; See No. 750).

Pl. LXXXIII (W. XVII). The text on this sheet refers to Cyprus (see
Topographical Notes No. 1103), but seems to have no direct
connection with the sketches inserted between.

Pl. LXXXVIII, Nos. 6 and 7 (MS. B, 12a; see No. 751). A section of a
circular pavilion with the plan of a similar building by the side of
it. These two drawings have a special historical interest because
the text written below mentions the Duke and Duchess of Milan.

The sketch of a villa on a terrace at the end of a garden occurs in
C. A. 150; and in C. A. 77b; 225b is another sketch of a villa
somewhat resembling the_ Belvedere _of Pope Innocent VIII, at Rome.
In C. A. 62b; 193b there is a Loggia.

Pl. LXXXII, No. 4 (C. A. 387a; 1198a) is a tower-shaped_ Loggia
_above a fountain. The machinery is very ingeniously screened from
view._

748.

The Palace of the prince must have a piazza in front of it.

Houses intended for dancing or any kind of jumping or any other
movements with a multitude of people, must be on the ground- floor;
for I have already witnessed the destruction of some, causing death
to many persons, and above all let every wall, be it ever so thin,
rest on the ground or on arches with a good foundation.

Let the mezzanines of the dwellings be divided by walls made of very
thin bricks, and without wood on account of fire.

Let all the privies have ventilation [by shafts] in the thickness of
the walls, so as to exhale by the roofs.

The mezzanines should be vaulted, and the vaults will be stronger in
proportion as they are of small size.

The ties of oak must be enclosed in the walls in order to be
protected from fire.

[Footnote: The remarks accompanying the plan reproduced on Pl.
LXXXI, No. 2 are as follows: Above, to the left: "_in_ a _angholo
stia la guardia de la sstalla_" (in the angle _a_ may be the keeper
of the stable). Below are the words "_strada dabosa_" (road to
Amboise), parallel with this "_fossa br 40_" (the moat 40 braccia)
fixing the width of the moat. In the large court surrounded by a
portico "_in terre No.--Largha br.80 e lugha br 120_." To the right
of the castle is a large basin for aquatic sports with the words
"_Giostre colle nave cioe li giostra li stieno sopra le na_"
(Jousting in boats that is the men are to be in boats). J. P. R.]

The privies must be numerous and going one into the other in order
that the stench may not penetrate into the dwellings., and all their
doors must shut off themselves with counterpoises.

The main division of the facade of this palace is into two portions;
that is to say the width of the court-yard must be half the whole
facade; the 2nd ...

749.

30 braccia wide on each side; the lower entrance leads into a hall
10 braccia wide and 30 braccia long with 4 recesses each with a
chimney.

[Footnote: On each side of the castle, Pl. LXXXII. No. 2 there are
drawings of details, to the left "_Camino_" a chimney, to the right
the central lantern, sketched in red "_8 lati_" _i.e._ an octagon.]

750.

The firststorey [or terrace] must be entirely solid.

751.

The pavilion in the garden of the Duchess of Milan.

The plan of the pavilion which is in the middle of the labyrinth of
the Duke of Milan.

[Footnote: This passage was first published by AMORETTI in _Memorie
Storiche_ Cap. X: Una sua opera da riportarsi a quest' anno fu il
bagno fatto per la duchessa Beatrice nel parco o giardino del
Castello. Lionardo non solo ne disegno il piccolo edifizio a foggia
di padiglione, nel cod. segnato Q. 3, dandone anche separatamente la
pianta; ma sotto vi scrisse: Padiglione del giardino della duchessa;
e sotto la pianta: Fondamento del padiglione ch'e nel mezzo del
labirinto del duca di Milano; nessuna data e presso il padiglione,
disegnato nella pagina 12, ma poco sopra fra molti circoli
intrecciati vedesi = 10 Luglio 1492 = e nella pagina 2 presso ad
alcuni disegni di legumi qualcheduno ha letto Settembre 1482 in vece
di 1492, come dovea scriverevi, e probabilmente scrisse Lionardo.

The original text however hardly bears the interpretation put upon
it by AMORETTI. He is mistaken as to the mark on the MS. as well as
in his statements as to the date, for the MS. in question has no
date; the date he gives occurs, on the contrary, in another
note-book. Finally, it appears to me quite an open question whether
Leonardo was the architect who carried out the construction of the
dome-like Pavilion here shown in section, or of the ground plan of
the Pavilion drawn by the side of it. Must we, in fact, suppose that
"_il duca di Milano_" here mentioned was, as has been generally
assumed, Ludovico il Moro? He did not hold this title from the
Emperor before 1494; till that date he was only called _Governatore_
and Leonardo in speaking of him, mentions him generally as "_il
Moro_" even after 1494. On January 18, 1491, he married Beatrice
d'Este the daughter of Ercole I, Duke of Ferrara. She died on the
2nd January 1497, and for the reasons I have given it seems
improbable that it should be this princess who is here spoken of as
the "_Duchessa di Milano_". From the style of the handwriting it
appears to me to be beyond all doubt that the MS. B, from which this
passage is taken, is older than the dated MSS. of 1492 and 1493. In
that case the Duke of Milan here mentioned would be Gian Galeazzo
(1469-1494) and the Duchess would be his wife Isabella of Aragon, to
whom he was married on the second February 1489. J. P. R.]

752.

The earth that is dug out from the cellars must be raised on one
side so high as to make a terrace garden as high as the level of the
hall; but between the earth of the terrace and the wall of the
house, leave an interval in order that the damp may not spoil the
principal walls.

_IV. Ecclesiastical Architecture.

A. General Observations._

753.

A building should always be detached on all sides so that its form
may be seen.

[Footnote: The original text is reproduced on Pl. XCII, No. 1 to the
left hand at the bottom.]

754.

Here there cannot and ought not to be any _campanile_; on the
contrary it must stand apart like that of the Cathedral and of San
Giovanni at Florence, and of the Cathedral at Pisa, where the
campanile is quite detached as well as the dome. Thus each can
display its own perfection. If however you wish to join it to the
church, make the lantern serve for the campanile as in the church at
Chiaravalle.

[Footnote: This text is written by the side of the plan given on Pl.
XCI. No. 2.]

[Footnote 12: The Abbey of Chiaravalle, a few miles from Milan, has
a central tower on the intersection of the cross in the style of
that of the Certosa of Pavia, but the style is mediaeval (A. D.
1330). Leonardo seems here to mean, that in a building, in which the
circular form is strongly conspicuous, the campanile must either be
separated, or rise from the centre of the building and therefore
take the form of a lantern.]

755.

It never looks well to see the roofs of a church; they should rather
be flat and the water should run off by gutters made in the frieze.

[Footnote: This text is to the left of the domed church reproduced
on Pl. LXXXVII, No. 2.]

_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
not quite satisfactory; still they cannot be considered to give
evidence of a want of taste or of any other defect in Leonardo s
architectural capacity. They were no doubt intended exclusively for
his own instruction, and, before all, as it seems, to illustrate the
features or consequences resulting from a given principle._

_I have already, in another place,_ [Footnote 1: Les Projets
Primitifs pour la Basilique de St. Pierre de Rome, par Bramante,
Raphael etc.,Vol. I, p. 2.] _pointed out the law of construction for
buildings crowned by a large dome: namely, that such a dome, to
produce the greatest effect possible, should rise either from the
centre of a Greek cross, or from the centre of a structure of which
the plan has some symmetrical affinity to a circle, this circle
being at the same time the centre of the whole plan of the building.

Leonardo's sketches show that he was fully aware, as was to be
expected, of this truth. Few of them exhibit the form of a Latin
cross, and when this is met with, it generally gives evidence of the
determination to assign as prominent a part as possible to the dome
in the general effect of the building.

While it is evident, on the one hand, that the greater number of
these domes had no particular purpose, not being designed for
execution, on the other hand several reasons may be found for
Leonardo's perseverance in his studies of the subject.

Besides the theoretical interest of the question for Leonardo and
his_ Trattato _and besides the taste for domes prevailing at that
time, it seems likely that the intended erection of some building of
the first importance like the Duomos of Pavia and Como, the church
of Sta. Maria delle Grazie at Milan, and the construction of a Dome
or central Tower_ (Tiburio) _on the cathedral of Milan, may have
stimulated Leonardo to undertake a general and thorough
investigation of the subject; whilst Leonardo's intercourse with
Bramante for ten years or more, can hardly have remained without
influence in this matter. In fact now that some of this great
Architect's studies for S. Peter's at Rome have at last become
known, he must be considered henceforth as the greatest master of
Dome-Architecture that ever existed. His influence, direct or
indirect even on a genius like Leonardo seems the more likely, since
Leonardo's sketches reveal a style most similar to that of Bramante,
whose name indeed, occurs twice in Leonardo's manuscript notes. It
must not be forgotten that Leonardo was a Florentine; the
characteristic form of the two principal domes of Florence, Sta.
Maria del Fiore and the Battisterio, constantly appear as leading
features in his sketches.

The church of San Lorenzo at Milan, was at that time still intact.
The dome is to this day one of the most wonderful cupolas ever
constructed, and with its two smaller domes might well attract the
attention and study of a never resting genius such as Leonardo. A
whole class of these sketches betray in fact the direct influence of
the church of S. Lorenzo, and this also seems to have suggested the
plan of Bramante's dome of St. Peter's at Rome.

In the following pages the various sketches for the construction of
domes have been classified and discussed from a general point of
view. On two sheets: Pl. LXXXIV (C.A. 354b; 118a) and Pl. LXXXV,
Nos. 1-11 (Ash. II, 6b) we see various dissimilar types, grouped
together; thus these two sheets may be regarded as a sort of
nomenclature of the different types, on which we shall now have to
treat._

_1. Churches formed on the plan of a Greek cross.

Group I.

Domes rising from a circular base.

The simplest type of central building is a circular edifice.

Pl. LXXXIV, No. 9. Plan of a circular building surrounded by a
colonnade.

Pl. LXXXIV, No. 8. Elevation of the former, with a conical roof.

Pl. XC. No. 5. A dodecagon, as most nearly approaching the circle.

Pl. LXXXVI, No. 1, 2, 3. Four round chapels are added at the
extremities of the two principal axes;--compare this plan with fig.
1 on p. 44 and fig. 3 on p. 47 (W. P. 5b) where the outer wall is
octagonal.

Group II.

Domes rising from a square base.

The plan is a square surrounded by a colonnade, and the dome seems
to be octagonal.

Pl. LXXXIV. The square plan below the circular building No. 8, and
its elevation to the left, above the plan: here the ground-plan is
square, the upper storey octagonal. A further development of this
type is shown in two sketches C. A. 3a (not reproduced here), and in

Pl. LXXXVI, No. 5 (which possibly belongs to No. 7 on Pl. LXXXIV).

Pl, LXXXV, No. 4, and p. 45, Fig. 3, a Greek cross, repeated p. 45,
Fig. 3, is another development of the square central plan.

The remainder of these studies show two different systems; in the
first the dome rises from a square plan,--in the second from an
octagonal base._

_Group III.

Domes rising from a square base and four pillars. [Footnote 1: The
ancient chapel San Satiro, via del Falcone, Milan, is a specimen of
this type.]_

a) First type. _A Dome resting on four pillars in the centre of a
square edifice, with an apse in the middle, of each of the four
sides. We have eleven variations of this type.

aa) Pl. LXXXVIII, No. 3.

bb) Pl. LXXX, No. 5.

cc) Pl. LXXXV, Nos. 2, 3, 5.

dd) Pl. LXXXIV, No. 1 and 4 beneath.

ee) Pl. LXXXV, Nos. 1, 7, 10, 11._

b) Second type. _This consists in adding aisles to the whole plan of
the first type; columns are placed between the apses and the aisles;
the plan thus obtained is very nearly identical with that of S.
Lorenzo at Milan.

Fig. 1 on p. 56. (MS. B, 75a) shows the result of this treatment
adapted to a peculiar purpose about which we shall have to say a few
words later on.

Pl. XCV, No. 1, shows the same plan but with the addition of a short
nave. This plan seems to have been suggested by the general
arrangement of S. Sepolcro at Milan.

MS. B. 57b (see the sketch reproduced on p.51). By adding towers in
the four outer angles to the last named plan, we obtain a plan which
bears the general features of Bramante's plans for S. Peter's at
Rome. [Footnote 2: See_ Les projets primitifs _etc., Pl. 9-12.] (See
p. 51 Fig. 1.)

Group IV.

Domes rising from an octagonal base.

This system, developed according to two different schemes, has given
rise to two classes with many varieties.

In a) On each side of the octagon chapels of equal form are added.

In b) The chapels are dissimilar; those which terminate the
principal axes being different in form from those which are added on
the diagonal sides of the octagon.

a. First Class.

The Chapel_ "degli Angeli," _at Florence, built only to a height of
about 20 feet by Brunellesco, may be considered as the prototype of
this group; and, indeed it probably suggested it. The fact that we
see in MS. B. 11b (Pl. XCIV, No. 3) by the side of Brunellesco's
plan for the Basilica of Sto. Spirito at Florence, a plan almost
identical with that of the_ Capella degli Angeli, _confirms this
supposition. Only two small differences, or we may say improvements,
have been introduced by Leonardo. Firstly the back of the chapels
contains a third niche, and each angle of the Octagon a folded
pilaster like those in Bramante's_ Sagrestia di S. M. presso San
Satiro _at Milan, instead of an interval between the two pilasters
as seen in the Battistero at Florence and in the Sacristy of Sto.
Spirito in the same town and also in the above named chapel by
Brunellesco.

The first set of sketches which come under consideration have at
first sight the appearance of mere geometrical studies. They seem to
have been suggested by the plan given on page 44 Fig. 2 (MS. B, 55a)
in the centre of which is written_ "Santa Maria in perticha da
Pavia", _at the place marked A on the reproduction.

a) (MS. B, 34b, page 44 Fig. 3). In the middle of each side a column
is added, and in the axes of the intercolumnar spaces a second row
of columns forms an aisle round the octagon. These are placed at the
intersection of a system of semicircles, of which the sixteen
columns on the sides of the octagon are the centres.

b) The preceding diagram is completed and becomes more monumental in
style in the sketch next to it (MS. B, 35a, see p. 45 Fig. 1). An
outer aisle is added by circles, having for radius the distance
between the columns in the middle sides of the octagon.

c) (MS. B. 96b, see p. 45 Fig. 2). Octagon with an aisle round it;
the angles of both are formed by columns. The outer sides are formed
by 8 niches forming chapels. The exterior is likewise octagonal,
with the angles corresponding to the centre of each of the interior
chapels.

Pl. XCII, No. 2 (MS. B. 96b). Detail and modification of the
preceding plan--half columns against piers--an arrangement by which
the chapels of the aisle have the same width of opening as the inner
arches between the half columns. Underneath this sketch the
following note occurs:_ questo vole - avere 12 facce - co 12
tabernaculi - come - _a_ - _b_. _(This will have twelve sides with
twelve tabernacles as_ a b._) In the remaining sketches of this
class the octagon is not formed by columns at the angles.

The simplest type shows a niche in the middle of each side and is
repeated on several sheets, viz: MS. B 3; MS. C.A. 354b (see Pl.
LXXXIV, No. 11) and MS. Ash II 6b; (see Pl. LXXXV, No. 9 and the
elevations No. 8; Pl. XCII, No. 3; MS. B. 4b [not reproduced here]
and Pl. LXXXIV, No. 2)._

_Pl. XCII, 3 (MS. B, 56b) corresponds to a plan like the one in MS.
B 35a, in which the niches would be visible outside or, as in the
following sketch, with the addition of a niche in the middle of each
chapel.

Pl. XC, No. 6. The niches themselves are surrounded by smaller
niches (see also No. 1 on the same plate).

Octagon expanded on each side.

A. by a square chapel:

MS. B. 34b (not reproduced here).

B. by a square with 3 niches:

MS. B. 11b (see Pl. XCIV, No. 3).

C. by octagonal chapels:

a) MS. B, 21a; Pl. LXXXVIII, No. 4.

b) No. 2 on the same plate. Underneath there is the remark:_
"quest'e come le 8 cappele ano a essere facte" _(this is how the
eight chapels are to be executed).

c) Pl. LXXXVIII, No. 5. Elevation to the plans on the same sheet, it
is accompanied by the note:_ "ciasscuno de' 9 tiburi no'uole -
passare l'alteza - di - 2 - quadri" _(neither of the 9 domes must
exceed the height of two squares).

d) Pl. LXXXVIII, No. 1. Inside of the same octagon. MS. B, 30a, and
34b; these are three repetitions of parts of the same plan with very
slight variations.

D. by a circular chapel:

MS. B, 18a (see Fig. 1 on page 47) gives the plan of this
arrangement in which the exterior is square on the ground floor with
only four of the chapels projecting, as is explained in the next
sketch.

Pl. LXXXIX, MS. B, 17b. Elevation to the preceding plan sketched on
the opposite side of the sheet, and also marked A. It is accompanied
by the following remark, indicating the theoretical character of
these studies:_ questo - edifitio - anchora - starebbe - bene
affarlo dalla linja - _a_ - _b_ - _c_ - _d_ - insu. _("This edifice
would also produce a good effect if only the part above the lines_ a
b, c d, _were executed").

Pl. LXXXIV, No. 11. The exterior has the form of an octagon, but the
chapels project partly beyond it. On the left side of the sketch
they appear larger than on the right side.

Pl. XC, No. 1, (MS. B, 25b); Repetition of Pl. LXXXIV, No. 11.

Pl. XC, No. 2. Elevation to the plan No. 1, and also to No. 6 of the
same sheet._

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