Alberti, Leone Battista
,
De re aedificatoria
,
1485
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<
archimedes
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<
text
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<
body
>
<
chap
id
="
N40001A
">
<
p
id
="
N412840
"
type
="
main
">
<
s
id
="
N4129F3
">
<
pb
xlink:href
="
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"/>
dabis numerum quattuor: minori tria. </
s
>
<
s
id
="
N4129FA
">In ea uero
<
expan
abbr
="
cõſonantia
">conſonantia</
expan
>
<
lb
/>
quæ diapaſon dicitur / numeri
<
expan
abbr
="
habent̃
">habentur</
expan
>
<
expan
abbr
="
reſpõdentes
">reſpondentes</
expan
>
ex dupla
<
lb
/>
uti binarii ad
<
expan
abbr
="
unitatẽ/
">unitatem /</
expan
>
et
<
expan
abbr
="
totũ
">totum</
expan
>
ad ſui
<
expan
abbr
="
dimidiã
">dimidiam</
expan
>
. </
s
>
<
s
id
="
N412A19
">In tripla ter
<
lb
/>
narii ad
<
expan
abbr
="
ipſã
">ipſam</
expan
>
<
expan
abbr
="
eandẽ
">eandem</
expan
>
<
expan
abbr
="
unitatẽ/
">unitatem /</
expan
>
aut
<
expan
abbr
="
ĩtegri
">integri</
expan
>
ad ſui
<
expan
abbr
="
partẽ
">partem</
expan
>
tertiam:
<
lb
/>
in quadrupla quaternarius ad
<
expan
abbr
="
ipſã
">ipſam</
expan
>
<
expan
abbr
="
itidẽ
">itidem</
expan
>
<
expan
abbr
="
reſpõdet
">reſpondet</
expan
>
unitatem
<
lb
/>
uti
<
expan
abbr
="
integrũ
">integrum</
expan
>
ad ſui
<
expan
abbr
="
quartã
">quartam</
expan
>
. </
s
>
<
s
id
="
N412A4A
">Numeri
<
expan
abbr
="
demũ
">demum</
expan
>
ipſi muſici / ut eoſ
<
lb
/>
<
expan
abbr
="
ſũmatim
">ſummatim</
expan
>
<
expan
abbr
="
colligã/hi
">colligan / hi</
expan
>
<
expan
abbr
="
ſũt
">ſunt</
expan
>
. </
s
>
<
s
id
="
N412A5E
">Vnus / duo / tres / quattuor. </
s
>
<
s
id
="
N412A61
">Eſt
<
expan
abbr
="
ẽt
">etiam</
expan
>
<
lb
/>
ut dixi tonus: in quo maior neruus ad
<
expan
abbr
="
minorẽ
">minorem</
expan
>
<
expan
abbr
="
cõp̃atus
">comperatus</
expan
>
<
expan
abbr
="
eũ
">eum</
expan
>
ſu
<
lb
/>
perat ex minoris
<
expan
abbr
="
p̃te
">parte</
expan
>
octaua. </
s
>
<
s
id
="
N412A78
">His
<
expan
abbr
="
oĩbus
">omnibus</
expan
>
numeris
<
expan
abbr
="
utũt̃
">utuntur</
expan
>
archi
<
lb
/>
tecti
<
expan
abbr
="
perq̃
">perquam</
expan
>
<
expan
abbr
="
cõmodiſſime
">commodiſſime</
expan
>
: et binatim
<
expan
abbr
="
ſũptis
">ſumptis</
expan
>
uti
<
expan
abbr
="
ponẽdis
">ponendis</
expan
>
foro
<
lb
/>
plateis et areis
<
expan
abbr
="
ſubdiualibus/ĩ
">ſubdiualibus / in</
expan
>
quibus
<
expan
abbr
="
ſolũ
">ſolum</
expan
>
duæ
<
expan
abbr
="
cõſiderãtur
">conſiderantur</
expan
>
<
lb
/>
diametri latitudinis et longitudinis. </
s
>
<
s
id
="
N412AA5
">Ternatim
<
expan
abbr
="
etiã
">etiam</
expan
>
<
expan
abbr
="
ſũptis
">ſumptis</
expan
>
<
lb
/>
<
expan
abbr
="
urunt̃
">utuntur</
expan
>
ueluti in feſſionibus publicis et ſenatu ponendo atque
<
lb
/>
aula et eiuſmodi: in quibus una comparant longitudini la
<
lb
/>
titudinem: et utriſque iſtorum altitudinem uolunt ad
<
expan
abbr
="
armo/niam
">armo
<
lb
/>
niam </
expan
>
correſpondere.</
s
>
</
p
>
<
p
id
="
N412ABB
"
type
="
main
">
<
s
id
="
N412ABD
">De his nobis
<
expan
abbr
="
dicendũ
">dicendum</
expan
>
eſt. </
s
>
<
s
id
="
N412AC4
">Prius de areis: in quibus
<
expan
abbr
="
binatĩ
">binatim</
expan
>
<
lb
/>
diametri
<
expan
abbr
="
coaptant̃
">coaptantur</
expan
>
. </
s
>
<
s
id
="
N412AD1
">Arearum aliæ breues: aliæ prolixiores: aliæ
<
lb
/>
mediæ:
<
expan
abbr
="
oĩum
">omnium</
expan
>
breuiſſima eſt quadrata: cuius latera quæuis
<
lb
/>
mutua
<
expan
abbr
="
lõgitudine
">longitudine</
expan
>
ſunt æqualia: et angulis
<
expan
abbr
="
reſpõdent
">reſpondent</
expan
>
<
expan
abbr
="
oĩbus
">omnibus</
expan
>
<
lb
/>
rectis. </
s
>
<
s
id
="
N412AEA
">Proxima eſt iſtic
<
expan
abbr
="
ſexq̃altera
">ſexquialtera </
expan
>
/
<
expan
abbr
="
tũ
">tum</
expan
>
et inter breues areas
<
lb
/>
annumerabitur ſexquitertia. </
s
>
<
s
id
="
N412AF3
">Tres
<
expan
abbr
="
igit̃
">igitur</
expan
>
iſtiuſmodi
<
expan
abbr
="
reſpõdẽtiæ
">reſponden
<
lb
/>
tiæ</
expan
>
quæ
<
expan
abbr
="
eadẽ
">eadem</
expan
>
apud nos ſimplices
<
expan
abbr
="
nũcupant̃
">nuncupantur</
expan
>
breuibus deben
<
lb
/>
tur areis. </
s
>
<
s
id
="
N412B0A
">Mediocribus quoque æque tris
<
expan
abbr
="
cõueniũt
">conueniunt</
expan
>
. </
s
>
<
s
id
="
N412B11
">Earum opti
<
lb
/>
ma eſt dupla: huic proxima quæ a ſexquialtera duplicata
<
expan
abbr
="
cõponitur
">com
<
lb
/>
ponitur</
expan
>
. </
s
>
<
s
id
="
N412B1C
">Atqui producitur ea
<
expan
abbr
="
quidẽ
">quidem</
expan
>
ſic: poſito minimo areæ
<
lb
/>
numero puta quattuor / producitur prima ſexquialtera: fient
<
lb
/>
ſex. </
s
>
<
s
id
="
N412B27
">Huic
<
expan
abbr
="
etiã
">etiam</
expan
>
addis rurſus
<
expan
abbr
="
etiã
">etiam</
expan
>
iſtius
<
expan
abbr
="
alterã
">alteram</
expan
>
:
<
expan
abbr
="
fiũt
">fiunt</
expan
>
<
expan
abbr
="
nouẽ
">nouem</
expan
>
. </
s
>
<
s
id
="
N412B3E
">Ex
<
lb
/>
cedet
<
expan
abbr
="
igit̃
">igitur</
expan
>
<
expan
abbr
="
lõgitudo
">longitudo</
expan
>
maxima iſtic
<
expan
abbr
="
breuiſſimã
">breuiſſimam</
expan
>
ex dupla atque
<
lb
/>
amplius ex duplæ tono et mediarum
<
expan
abbr
="
etiã
">etiam</
expan
>
erit
<
expan
abbr
="
quã
">quam</
expan
>
dederis bis
<
lb
/>
<
expan
abbr
="
ſũpta
">ſumpta</
expan
>
ſexquitertia pari ducta ratione uti proxima. </
s
>
<
s
id
="
N412B5E
">Erit igi
<
lb
/>
tur ex hac re
<
expan
abbr
="
ſũpta
">ſumpta</
expan
>
productione linea iſtic minor ut
<
expan
abbr
="
nouẽ
">nouem</
expan
>
<
expan
abbr
="
lõgiſſima
">lon
<
lb
/>
giſſima</
expan
>
ut
<
expan
abbr
="
ſexdecĩ
">ſexdecim</
expan
>
. </
s
>
<
s
id
="
N412B75
">Ergo hic maior linea exceditur a dupla
<
lb
/>
minoris uno minus tono: In prolixioribus areis ratio
<
expan
abbr
="
ducit̃
">ducitur</
expan
>
</
s
>
</
p
>
</
chap
>
</
body
>
</
text
>
</
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>