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role than architects in revealing the inherent  side, shall be a house of the  comune  [the local
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           order of nature as created by God.  The means  government] with a loggia.... And on the  other
           through which painters  were to effect  this reve-  side... shall be built the church of the  parish
           lation was the  acquisition  of rational  under-  of St.  Peter  Inside the  town  shall be nine
           standing  and systematic  skills.  Alberti  con-  streets....  [There  follows an account of the
           sidered these  attributes  essential  if their  widths of the  streets and dimensions  of the
           possessors were to have any hope of  resisting  properties,  according to a carefully graded
           the vagaries of fortune in human  affairs.  The  mathematical order, diminishing in size from
           kind of enlightenment  that Alberti sought was  the central axis. ] The main street  shall run  the
           disinterested, in that the philosopher-creator  length  of the town and another street,  similar
           was to be detached from  corrupting entangle-  to it, shall be made across it in the  middle of
           ments in the hurly-burly  of politics and com-  the town/' 10
           merce, but it was not completely separate from  One  of the  best surviving examples of  the
           society, since it could be applied to the creation  new towns is San Giovanni Valdarno, the  birth-
           of actual structures for the benefit of human  place of Masaccio, a town where axial streets of
           life.  The vision of order formulated by Alberti,  calculated widths  flow into and out  of a fine
           founded  on the  neo-Stoic doctrines of the  double square. At the center stands the Palazzo
           Roman authors he admired, above all Cicero and  Pretorio,  the  seat and symbol of civic rule, sur-
           Seneca, was very much that of the  new urban  rounded by places of worship  and of business
           intellectual  class, for whom monastic with-  and domestic life,  arranged according to a care-
           drawal from  society  seemed as undesirable as  fully  ordered hierarchy  of functions. The  visual
           unreserved  commitment  to the  unprincipled  elements  are controlled  in a rigorous  manner
           outer  world where human beings  struggled  for  through a series of calculated alignments  and
           supremacy.                                 vistas that make manifest the  rationality  of form
             The new visions of space that appeared in  the  and function in the new urban settings for the
           late Middle Ages and the  Renaissance, above all  theater  of  life.
           in Italy and most especially in Florence, arose  Such regular planning, which required skill in
           within urban societies and were expressed  practical mathematics, including surveying, lay
           through  new conceptions of the human  envi-  in the  hands of sophisticated architect-masons,
           ronment—not only the environment  that was  who were drawn largely from  the workshop of
           actually constructed for the  conduct of human  the  cathedral in Florence. In the  city of Florence  fig.  2.  Piero della Zucca, Plan of San  Giovanni
           affairs,  but  also the imagined worlds depicted  itself, the  scope for the  establishment  of sys-  Val  d'Arno.  1553,  pen and ink.
           by practitioners of the  figurative arts.  Perhaps  tematic town  spaces and proportional design  Archivio di Stato, Florence
           in no other  period were developments in con-
           structed and depicted space more profoundly
           united.  If it is true to say in the  final  analysis
           that the fourteenth-century  developments  in
           the  rendering  of human  space in painting,  as in
           Ambrogio  Lorenzetti's  superb depiction of the
           well-governed  city, were dependent upon actual
           spaces in cities and the manner of their use, it
           is nonetheless apparent that  the  depiction of
           imagined space, especially after  the  invention
           of linear perspective in or before  1413, played
           an active role in transforming the  fifteenth-
           century vision of urban space.
             This development appeared first in  the
           construction of actual urban spaces. The late
           Middle Ages witnessed the  building  of planned
           new towns in a number  of European centers,
           but those initiated  in Tuscany from  1299
           onwards by the  government  of Florence were of
           special significance in the  development  of urban
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           geometry.  The commission  that reported in
           1350  on the  proposed new town  of Giglio
           Fiorentino made the  following  recommenda-
           tions:  "In the  middle of the  town  shall be a
           piazza ninety  braccia  [about 50 m] long and
           seventy  braccia  [about 39m] wide. In the piazza  fig.  3.  Church of San Giovanni  viewed  along the south arcade of the  Palazzo Pretorio, San Giovanni Val
           shall be a well. And flanking this piazza, on one  d'Arno.  1299  onwards

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