Vitruvius, Marci Vitruvii Pollionis De architectura libri decem : ope codicis Guelferbytani, editionis principis, ceterorumque subsidiorum recensuit, et glossario in quo vocabula artis propria Germ. Ital. Gall. et Angl. explicantur, 1800

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              <pb o="61" file="0087" n="87" rhead="LIBER III. CAPUT I."/>
            digitum, palmum, pedem, cubitum, et eas diſtribuerunt in perfectum nu-
              <lb/>
            merum, quem Graeci τέλειον dicunt. </s>
            <s xml:id="echoid-s1590" xml:space="preserve">Perfectum autem antiqui inſtitue-
              <lb/>
            runt numerum, qui decem dicitur. </s>
            <s xml:id="echoid-s1591" xml:space="preserve">Namque ex manibus denarius digito-
              <lb/>
            rum numerus; </s>
            <s xml:id="echoid-s1592" xml:space="preserve">ex digitis vero palmus, et ab palmo pes eſt inventus.
              <lb/>
            </s>
            <s xml:id="echoid-s1593" xml:space="preserve">Sicut autem in utriſque palmis ex articulis ab natura decem ſunt per-
              <lb/>
            fecti, ita etiam Platoni placuit eſſe eum numerum ea re perſectum, quod
              <lb/>
            ex ſingularibus rebus, quae μονάδες apud Graecos dicuntur, perficitur de-
              <lb/>
            cuſſis; </s>
            <s xml:id="echoid-s1594" xml:space="preserve">quae ſimulac undecim aut duodecim ſunt factae, quod ſuperaverint,
              <lb/>
            non poſſunt eſſe perfectae, donec ad alterum decuſſim pervenerint. </s>
            <s xml:id="echoid-s1595" xml:space="preserve">Sin-
              <lb/>
            gulares enim res particulae ſunt ejus numeri. </s>
            <s xml:id="echoid-s1596" xml:space="preserve">Mathematici vero contra
              <lb/>
            diſputantes, ea re perfectum eſſe dixerunt numerum, qui ſex dicitur,
              <lb/>
            quod is numerus habet partitiones eorum rationibus ſex numero conve-
              <lb/>
            nientes, ſic ſextantem unum, trientem duo, ſemiſſem tria, beſſem, quem
              <lb/>
            δίμοι***ον dicunt, quatuor, quintarium, quem πεντάμοι***ον dicunt, quinque,
              <lb/>
            perfectum ſex, Cum ad ſupputationem creſcat, ſupra ſex adjecto aſſe
              <lb/>
            7956φεχτον, cum facta ſunt octo, quod eſt tertia adjecta, trientem alterum, qui 7952πίτ***ιτος dicitur, dimidia adjecta cum facta ſunt novem, ſeſquialte-
              <lb/>
            rum qui ἠμιόλιος appellatur, duabus partibus additis et decuſſi facto, bes
              <lb/>
            alterum, quem 7952πιδίμοι***ον vocitant, in undecim numero quod adjecti ſunt
              <lb/>
            quinque quintarium alterum , quem 7952πιπενπάμοι***ον dicunt; </s>
            <s xml:id="echoid-s1597" xml:space="preserve">duodecim autem quod ex duobus ſimplicibus numeris eſt effectus διπλασίωνα. </s>
            <s xml:id="echoid-s1598" xml:space="preserve">Non
              <lb/>
            minus etiam quod pes hominis altitudinis ſextam habet partem, ita etiam
              <lb/>
            ex eo quod perſicitur pedum numero, corpus his ſex altitudinis termi-
              <lb/>
            nando, eum perfectum conſtituerunt; </s>
            <s xml:id="echoid-s1599" xml:space="preserve">cubitumque animadverterunt ex ſex
              <lb/>
            palmis conſtare, digitisque viginti quatuor. </s>
            <s xml:id="echoid-s1600" xml:space="preserve">Ex eo etiam videntur civita-
              <lb/>
            tes Graecorum feciſſe, uti quemadmodum cubitus eſt ſex palmorum, ita
              <lb/>
              <note symbol="2)" position="foot" xlink:label="note-0087-01" xlink:href="note-0087-01a" xml:space="preserve">Al. tertiarium.</note>
              <note symbol="3)" position="foot" xlink:label="note-0087-02" xlink:href="note-0087-02a" xml:space="preserve">Al. quintarium.</note>
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