Vitruvius, De architectura libri decem, 1567

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            <pb o="86" file="514.01.118" n="118" rhead="LIBER"/>
            <p style="it">
              <s xml:id="echoid-s8187" xml:space="preserve">Secundus compoſitionis modus eſt in quo ratio
                <lb/>
              primi ad ſecundum, constat ex ratione tertij ad ſex-
                <lb/>
              tum, atque ratione quinti ad quartum.</s>
              <s xml:id="echoid-s8188" xml:space="preserve"/>
            </p>
            <note style="it" position="right" xml:space="preserve">
              <lb/>
            subtripla. # 3--9
              <lb/>
            Seſquialiera. # 6--4
              <lb/>
            Subdupla # 18--36
              <lb/>
            </note>
            <p style="it">
              <s xml:id="echoid-s8189" xml:space="preserve">Tertius modus est in quo ratio primi termini ad
                <lb/>
              tertium conſtat ex ratione ſecundi ad quartum, & </s>
              <s xml:id="echoid-s8190" xml:space="preserve">
                <lb/>
              quinti ad ſextum.</s>
              <s xml:id="echoid-s8191" xml:space="preserve"/>
            </p>
            <note style="it" position="right" xml:space="preserve">
              <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="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="it" position="right" xml:space="preserve">
              <lb/>
            Subquadrupla ſeſquialtera. # 2--9
              <lb/>
            Seſquialtera # 12--36
              <lb/>
            Subtripla ut 1. ad 3. # 12--36
              <lb/>
            </note>
            <p style="it">
              <s xml:id="echoid-s8195" xml:space="preserve">Quintus modus eſt in quo ratio primi ad quin-
                <lb/>
              tum componitur ex ratione ſecundi ad ſextum, & </s>
              <s xml:id="echoid-s8196" xml:space="preserve">
                <lb/>
              tertij ad quartum.</s>
              <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="it" position="right" xml:space="preserve">
              <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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