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]

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                <pb o="156" rhead="IO. BAPT. BENED." n="168" file="0168" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0168"/>
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                ſemper diuiſum à linea
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                per medium, ſequitur communi quodam con-
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                ceptu, nullam nobis difficultatem oborituram, dictum centrum ad quam volueri-
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                  <lb/>
                non eſſet, emergeret; </s>
                <s xml:id="echoid-s1855" xml:space="preserve">Vt
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                gratia, ſi imaginabimur pentagonum
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                quie
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                ſcere
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                  <reg norm="eandem" type="context">eandẽ</reg>
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                ita ut
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                latus
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                in linea
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                ,
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                poſteà centrum
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                (ponamus.) verſus
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                centrum
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                à linea
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                eleuetur, ab
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                magis diſtet, voluens ſe per
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                vnum
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                circuli,
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                ſuo ſemidiametro habeat
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                quę maior eſt ipſa
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                ex .18. li. primi Eu
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                cli. vnde ſi à puncto
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                imaginabimur lineam
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                reſpicientem centrum regionis
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                elementaris, dubium non eſt, quin ſi velimus transferre
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                quæ à linea
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                fuit ſecta,
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                <s xml:id="echoid-s1856" xml:space="preserve">quod quibuſuis modis fiat, ar-
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                duum certè eſt ad efficiendum; </s>
                <s xml:id="echoid-s1857" xml:space="preserve">neque hoc etiam accidit figuræ perfectè rotundæ,
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                cum
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                perfectè in medio ipſius ponderis eſt, reperiatur ſemper in linea per-
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                pendiculari ipſi plano, in quo animaduertendum eſt,
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                etiam ſi ipſum planum ap-
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                pellem; </s>
                <s xml:id="echoid-s1858" xml:space="preserve">pro plano tamen perfecto intelligi nolo, ſed pro ſuperficie perfectè
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                  ca</reg>
                circa centrum à corporibus grauibus expetitum; </s>
                <s xml:id="echoid-s1859" xml:space="preserve">nam ratione magnæ amplitudi-
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                no exigui interualli ad curuitatem eiuſdem ſuperficiei imaginari poterimus. </s>
                <s xml:id="echoid-s1860" xml:space="preserve">Sed ut
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                igitur erit
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                verſus
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                punctum
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                <s xml:id="echoid-s1861" xml:space="preserve">Imaginemur autem
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                li
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                nea
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                eſſet libra
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                in figura perfectè
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                  <figure xlink:label="fig-0168-01" xlink:href="fig-0168-01a" number="226">
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                rotunda
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                poſita, & vis, quę trahere cen
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                trum deberet, diuiſa eſſet per medium, cuius
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                medietas appenſa eſſet extremitati
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                diame-
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                tri
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                  d.</var>
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                cen-
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                trum
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                <s xml:id="echoid-s1862" xml:space="preserve">Tantò facilius ergo tota
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                dicta vis ap
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                plicata cen
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                tro,
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                ſi
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                dictum cen
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