Vitruvius
,
De architectura libri decem
,
1567
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1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
101 - 110
111 - 120
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
171 - 180
181 - 190
191 - 200
201 - 210
211 - 220
221 - 230
231 - 240
241 - 250
251 - 260
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291 - 300
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118
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LIBER
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<
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xml:space
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">Secundus compoſitionis modus eſt in quo ratio
<
lb
/>
primi ad ſecundum, constat ex ratione tertij ad ſex-
<
lb
/>
tum, atque ratione quinti ad quartum.</
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style
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position
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xml:space
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<
lb
/>
subtripla. # 3--9
<
lb
/>
Seſquialiera. # 6--4
<
lb
/>
Subdupla # 18--36
<
lb
/>
</
note
>
<
p
style
="
it
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<
s
xml:id
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echoid-s8189
"
xml:space
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preserve
">Tertius modus est in quo ratio primi termini ad
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lb
/>
tertium conſtat ex ratione ſecundi ad quartum, & </
s
>
<
s
xml:id
="
echoid-s8190
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xml:space
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<
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quinti ad ſextum.</
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s
xml:id
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xml:space
="
preserve
"/>
</
p
>
<
note
style
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it
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position
="
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xml:space
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">
<
lb
/>
Subdupla # 2--4
<
lb
/>
Subſeſquialtera # 6--9
<
lb
/>
Subtripla. 1. ad 3. # 12--36
<
lb
/>
</
note
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s8192
"
xml:space
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preserve
">Quartus modus eſt in quo ratio primi ad tertium
<
lb
/>
constat ex ratione ſecundi ad ſextum, & </
s
>
<
s
xml:id
="
echoid-s8193
"
xml:space
="
preserve
">ex ratione
<
lb
/>
quinti ad quartum.</
s
>
<
s
xml:id
="
echoid-s8194
"
xml:space
="
preserve
"/>
</
p
>
<
note
style
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it
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position
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xml:space
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<
lb
/>
Subquadrupla ſeſquialtera. # 2--9
<
lb
/>
Seſquialtera # 12--36
<
lb
/>
Subtripla ut 1. ad 3. # 12--36
<
lb
/>
</
note
>
<
p
style
="
it
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<
s
xml:id
="
echoid-s8195
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xml:space
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preserve
">Quintus modus eſt in quo ratio primi ad quin-
<
lb
/>
tum componitur ex ratione ſecundi ad ſextum, & </
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>
<
s
xml:id
="
echoid-s8196
"
xml:space
="
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">
<
lb
/>
tertij ad quartum.</
s
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<
s
xml:id
="
echoid-s8197
"
xml:space
="
preserve
"/>
</
p
>
<
note
style
="
it
"
position
="
right
"
xml:space
="
preserve
">
<
lb
/>
Subquadrupla ſeſquialtera # 2--9
<
lb
/>
Subſeſquitertia ut 1. ad 6. # 3--4
<
lb
/>
Subſextupla ut 1. ad 6 # 6--36
<
lb
/>
</
note
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s8198
"
xml:space
="
preserve
">Sextus modus est in quo eiuſdem primi numeri ad
<
lb
/>
ipſum quintũ conſtat ex rationibus ſecundi ad quar-
<
lb
/>
tum, & </
s
>
<
s
xml:id
="
echoid-s8199
"
xml:space
="
preserve
">tertij ad ſextum.</
s
>
<
s
xml:id
="
echoid-s8200
"
xml:space
="
preserve
"/>
</
p
>
<
note
style
="
it
"
position
="
right
"
xml:space
="
preserve
">
<
lb
/>
Subdupla # 2--4
<
lb
/>
Subtripla # 3--9
<
lb
/>
Subſextupla # 6--36
<
lb
/>
</
note
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s8201
"
xml:space
="
preserve
">Septimus modus eſt in quo ratio ſecundi ad quar-
<
lb
/>
tum fit ex ratione primi ad tertium, & </
s
>
<
s
xml:id
="
echoid-s8202
"
xml:space
="
preserve
">ſexti ad
<
lb
/>
quintum.</
s
>
<
s
xml:id
="
echoid-s8203
"
xml:space
="
preserve
"/>
</
p
>
<
note
style
="
it
"
position
="
right
"
xml:space
="
preserve
">
<
lb
/>
Subtripla # 1--3
<
lb
/>
Seſquialtera # 9--6
<
lb
/>
Subdupla ut 2. ad 4. # 9--18
<
lb
/>
</
note
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s8204
"
xml:space
="
preserve
">Octauus modus est in quo ratio eiuſdem ſecundi
<
lb
/>
termini ad quartum fit ex ratione primi ad quintũ,
<
lb
/>
& </
s
>
<
s
xml:id
="
echoid-s8205
"
xml:space
="
preserve
">ſexti ad tertium.</
s
>
<
s
xml:id
="
echoid-s8206
"
xml:space
="
preserve
"/>
</
p
>
<
note
style
="
it
"
position
="
right
"
xml:space
="
preserve
">
<
lb
/>
Subſextupla # 1--6
<
lb
/>
Tripla # 9--3
<
lb
/>
Subdupla # 9--18
<
lb
/>
</
note
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s8207
"
xml:space
="
preserve
">Nonus modus eſt in quo ratio ſecundi ad ſextum
<
lb
/>
conſtat ex rationibus primi ad tertium, & </
s
>
<
s
xml:id
="
echoid-s8208
"
xml:space
="
preserve
">quarti ad
<
lb
/>
quintum.</
s
>
<
s
xml:id
="
echoid-s8209
"
xml:space
="
preserve
"/>
</
p
>
<
note
style
="
it
"
position
="
right
"
xml:space
="
preserve
">
<
lb
/>
Subtripla # 1--3
<
lb
/>
Subſeſquialtera # 4--6
<
lb
/>
Subquadrupla ſeſquialtra # 4--18
<
lb
/>
</
note
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s8210
"
xml:space
="
preserve
">Decimus modus eſt in quo ratio ſecundi ad ſex-
<
lb
/>
tum redditur ex ratione primi ad quintum, & </
s
>
<
s
xml:id
="
echoid-s8211
"
xml:space
="
preserve
">quar-
<
lb
/>
ti ad terntium.</
s
>
<
s
xml:id
="
echoid-s8212
"
xml:space
="
preserve
"/>
</
p
>
<
note
style
="
it
"
position
="
right
"
xml:space
="
preserve
">
<
lb
/>
Subſextupla # 1--6
<
lb
/>
Seſquitertia # 4--3
<
lb
/>
Subquadrupla ſeſquialtera # 4--18
<
lb
/>
</
note
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s8213
"
xml:space
="
preserve
">Vndecimus modus eſt, in quo tertij
<
unsure
/>
ad quartum
<
lb
/>
comparatio fit ex rationibus primi ad ſecundnm, & </
s
>
<
s
xml:id
="
echoid-s8214
"
xml:space
="
preserve
">
<
lb
/>
ſexti ad quintum.</
s
>
<
s
xml:id
="
echoid-s8215
"
xml:space
="
preserve
"/>
</
p
>
<
note
style
="
it
"
position
="
right
"
xml:space
="
preserve
">
<
lb
/>
Subdupla # 1--2
<
lb
/>
Seſquialtera # 9--6
<
lb
/>
Subſeſquitertia ut 3. ad 4. # 9--12
<
lb
/>
</
note
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s8216
"
xml:space
="
preserve
">Duodecimus modus eſt in quo tertij ratio ad quar-
<
lb
/>
tum fit ex rationibus primi ad quintum, & </
s
>
<
s
xml:id
="
echoid-s8217
"
xml:space
="
preserve
">ſexti ad
<
lb
/>
ſecundum.</
s
>
<
s
xml:id
="
echoid-s8218
"
xml:space
="
preserve
"/>
</
p
>
<
note
position
="
left
"
xml:space
="
preserve
">10</
note
>
<
note
style
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it
"
position
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xml:space
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<
lb
/>
Subſextupla # 1--6
<
lb
/>
Quadrupla ſeſquialtera # 9--2
<
lb
/>
Subſeſquitertia # 9--12
<
lb
/>
</
note
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s8219
"
xml:space
="
preserve
">Decimus tertius modus es
<
unsure
/>
t, in quo tertij ad ſextü
<
lb
/>
reſponſus fit ex ratione primi ad ſecundum, et quar-
<
lb
/>
ti ad quintum.</
s
>
<
s
xml:id
="
echoid-s8220
"
xml:space
="
preserve
"/>
</
p
>
<
note
style
="
it
"
position
="
right
"
xml:space
="
preserve
">
<
lb
/>
Subdupla # 1--2
<
lb
/>
Subſeſquialtera # 4--6
<
lb
/>
Subtripla # 4--12
<
lb
/>
</
note
>
<
note
position
="
left
"
xml:space
="
preserve
">20</
note
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s8221
"
xml:space
="
preserve
">Decimus quartus modus eſt in quo ratio eiuſdem
<
lb
/>
tertij ad ſextum conficitur ex ratione primi ad quin
<
lb
/>
tum, & </
s
>
<
s
xml:id
="
echoid-s8222
"
xml:space
="
preserve
">quarti ad ſecundum.</
s
>
<
s
xml:id
="
echoid-s8223
"
xml:space
="
preserve
"/>
</
p
>
<
note
style
="
it
"
position
="
right
"
xml:space
="
preserve
">
<
lb
/>
Subſextupla # 1--6
<
lb
/>
Dupla # 4--2
<
lb
/>
Subtripla # 4--12
<
lb
/>
</
note
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s8224
"
xml:space
="
preserve
">Decimus quintus modus est, in quo quarti ratio
<
lb
/>
ad quintum fit ex rationibus ſecundi ad primum, & </
s
>
<
s
xml:id
="
echoid-s8225
"
xml:space
="
preserve
">
<
lb
/>
tertij ad ſextum.</
s
>
<
s
xml:id
="
echoid-s8226
"
xml:space
="
preserve
"/>
</
p
>
<
note
position
="
left
"
xml:space
="
preserve
">30</
note
>
<
note
style
="
it
"
position
="
right
"
xml:space
="
preserve
">
<
lb
/>
Dupla # 2--1
<
lb
/>
Subtripla # 3--9
<
lb
/>
Subſeſquialtera # 6--9
<
lb
/>
</
note
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s8227
"
xml:space
="
preserve
">Decimus ſextus modus eſt in quo quarti ad quin-
<
lb
/>
tum relatio ex relatione ſecundi ad ſextum, & </
s
>
<
s
xml:id
="
echoid-s8228
"
xml:space
="
preserve
">tertij
<
lb
/>
ad primum efficitur.</
s
>
<
s
xml:id
="
echoid-s8229
"
xml:space
="
preserve
"/>
</
p
>
<
note
style
="
it
"
position
="
right
"
xml:space
="
preserve
">
<
lb
/>
Subquadrupla ſeſquialtera # 2--9
<
lb
/>
Tripla # 3--1
<
lb
/>
Subſeſquialtera # 6--9
<
lb
/>
</
note
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s8230
"
xml:space
="
preserve
">Decimus ſeptimus modus est in quo ratio quinti
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-514.01.118-19
"
xlink:href
="
note-514.01.118-19a
"
xml:space
="
preserve
">40</
note
>
ad ſextum componitur ex ratione primi ad ſecundũ,
<
lb
/>
& </
s
>
<
s
xml:id
="
echoid-s8231
"
xml:space
="
preserve
">quarti ad tertium.</
s
>
<
s
xml:id
="
echoid-s8232
"
xml:space
="
preserve
"/>
</
p
>
<
note
style
="
it
"
position
="
right
"
xml:space
="
preserve
">
<
lb
/>
Subdupla # 1--2
<
lb
/>
Seſquitertia # 4--3
<
lb
/>
Subſeſquialtera # 4--6
<
lb
/>
</
note
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s8233
"
xml:space
="
preserve
">Decimus octauus modus eſt in quo quinti ratio
<
lb
/>
ad ſextum conſtat ex rationibus primi ad tertium,
<
lb
/>
& </
s
>
<
s
xml:id
="
echoid-s8234
"
xml:space
="
preserve
">quarti ad ſecundum.</
s
>
<
s
xml:id
="
echoid-s8235
"
xml:space
="
preserve
"/>
</
p
>
<
note
style
="
it
"
position
="
right
"
xml:space
="
preserve
">
<
lb
/>
Subtripla # 1--3
<
lb
/>
Dupla # 4--2
<
lb
/>
Subſeſquialtera # 4--6
<
lb
/>
</
note
>
<
note
position
="
left
"
xml:space
="
preserve
">50</
note
>
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