Benedetti, Giovanni Battista de, Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]

Page concordance

< >
Scan Original
121 109
122 110
123 111
124 112
125 113
126 114
127 115
128 116
129 117
130 118
131 119
132 120
133 121
134 122
135 123
136 124
137 125
138 126
139 127
140 128
141 129
142 130
143 131
144 132
145 133
146 134
147 135
148 136
149 137
150 138
< >
page |< < (117) of 445 > >|
    <echo version="1.0">
      <text type="book" xml:lang="la">
        <div xml:id="echoid-div7" type="body" level="1" n="1">
          <div xml:id="echoid-div7" type="chapter" level="2" n="1">
            <div xml:id="echoid-div293" type="appendix" level="3" n="1">
              <p>
                <s xml:id="echoid-s1471" xml:space="preserve">
                  <pb o="117" rhead="THEOR. ARITH." n="129" file="0129" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0129"/>
                do ſe inuicem habentes, vt .24. et .16. quæ ſunt .21. cum tribus quintis, et .14.
                  <reg norm="cum" type="context">cũ</reg>
                dua
                  <lb/>
                bus quintis, ex quo ſequitur, vt quod fit ex .21. cum tribus quintis, in 16. ęquale ſit ei
                  <lb/>
                quod fit ex .14 cum duabus quintis, in .24. & ita reperiuntur duo producta æqualia,
                  <lb/>
                vnum lucri, reliquum vero perditionis, vt in figura
                  <var>.M.</var>
                clarè videtur.</s>
              </p>
              <p>
                <s xml:id="echoid-s1472" xml:space="preserve">A Liud verò exemplum eſt .39. quod quidem à ſuperiori non differt, niſi quod
                  <lb/>
                in fine operationis, operarius dictus lucratus eſt ſolidos .60: </s>
                <s xml:id="echoid-s1473" xml:space="preserve">quęritur
                  <reg norm="nunc" type="context">nũc</reg>
                vt ſu-
                  <lb/>
                pra, quot fuerunt dies lucri, & quot perditionis.</s>
              </p>
              <p>
                <s xml:id="echoid-s1474" xml:space="preserve">Hoc etiam abſque vlla falſa poſitione dicto citius poteſt ſolui, hoc modo,
                  <reg norm="diuidem" type="context">diuidẽ</reg>
                  <lb/>
                do ſcilicet illos .60 ſolidos per .40. ideſt per aggregatum .24. cum .16. proueniens
                  <lb/>
                autem, quod erit .1. cum dimidio, adde ad latus ſuperius inuentum, hoc eſt .21. cum
                  <lb/>
                tribus quintis, & ſunima erit .23. cum decima parte pro numero dierum lucri, dein-
                  <lb/>
                de idem prouentum deme ex alio latere ſuperius reperto .14. cum duabus quintis, &
                  <lb/>
                refiduum erit .12. cum nouem decimis, vnde habebis numerum dierum perdi-
                  <lb/>
                tionis.</s>
              </p>
              <p>
                <s xml:id="echoid-s1475" xml:space="preserve">Pro cuius rei ſpeculatione cogitemus in figura
                  <var>.N.</var>
                duo dicta producta inuicem
                  <lb/>
                æqualia
                  <var>.o.b.</var>
                et
                  <var>.n.c.</var>
                exiſtente latere
                  <var>.u.c.</var>
                vt .24.
                  <var>u.o.</var>
                ut .16: </s>
                <s xml:id="echoid-s1476" xml:space="preserve">b.u. vt .21. cum tribus quin
                  <lb/>
                tis, et
                  <var>.u.n.</var>
                vt .14. cum duabus quintis. </s>
                <s xml:id="echoid-s1477" xml:space="preserve">Nunc verò ſi mente concepta fuerit recta
                  <var>.e.
                    <lb/>
                  a.t.</var>
                æquidiſtans
                  <var>.o.c.</var>
                ita vt rectangulum
                  <var>.o.e.</var>
                ſit .60. </s>
                <s xml:id="echoid-s1478" xml:space="preserve">tunc rectangulum, ſeu productum
                  <lb/>
                  <var>b.t.</var>
                ſuperabit rectangulum ſeu productum
                  <var>.n.e.</var>
                per idem .60. ex communi conceptu,
                  <lb/>
                eo quòd ex producto
                  <var>.n.c.</var>
                ſublatum eſt productum
                  <var>.a.c.</var>
                24. & producto
                  <var>.o.b.</var>
                additum
                  <lb/>
                eſt productum
                  <var>e.a.</var>
                16. rectè igitur feci cum diuiſerim .60 per .40. vnde prouenit mi
                  <lb/>
                hi
                  <var>.u.a.</var>
                ideſt .1. cum dimidio, quod additum ipſi
                  <var>.b.u.</var>
                compoſuit
                  <var>.b.a.</var>
                & dempto ex
                  <var>.u.
                    <lb/>
                  n.</var>
                relinquit
                  <var>.a.n.</var>
                pro lateribus duorum productorum
                  <var>.b.t.</var>
                et
                  <var>.n.e</var>
                .</s>
              </p>
              <p>
                <s xml:id="echoid-s1479" xml:space="preserve">Sed ſi idem operator perdidiſſet .60. tunc cogitaremus parallelam dictam
                  <var>.e.a.</var>
                t
                  <lb/>
                ſuperius ductam eſſe ita vt ſecaret
                  <var>.b.u.</var>
                & non
                  <var>.u.n.</var>
                vnde adderet .24. ipſi producto
                  <var>.n.
                    <lb/>
                  c.</var>
                & d@meret .16. à producto
                  <var>.b.o</var>
                .</s>
              </p>
              <figure position="here" number="177">
                <image file="0129-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0129-01"/>
              </figure>
              <p>
                <s xml:id="echoid-s1480" xml:space="preserve">CIRCA verò talia quæſita videtur mihi non inutile fore ſi aliquid notatu di-
                  <lb/>
                gnum aduerterim, hoc eſt quod ſæpe accidere poterit ut caſus impoſſibiles
                  <lb/>
                proponantur. </s>
                <s xml:id="echoid-s1481" xml:space="preserve">Quemadmodum ſi aliquis diceret, cupio mihi ueſtimentum con-
                  <lb/>
                ficere ex duobus pannis colore & pretio differentibus, quorum unus exempli gra- </s>
              </p>
            </div>
          </div>
        </div>
      </text>
    </echo>