Stevin, Simon, Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis, 1605

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          <pb o="107" file="527.01.107" n="107" rhead="*DE STATICÆ PRAXI*"/>
          <p>
            <s xml:id="echoid-s3155" xml:space="preserve">Quamobrem ſi in ſtitueretur pancration 30 orbiculis axiculisq́ue, cujus maxi-
              <lb/>
            mus aſteriſcus minimi eſſet decuplus, tum manubrii flexura maximi aſteriſci ſe-
              <lb/>
            midiametro, & </s>
            <s xml:id="echoid-s3156" xml:space="preserve">ſucula S minimo aſteriſco æqualis, quę in ſpeciem machina ad-
              <lb/>
            modũ magnę molis nõ foret, põdus ab iſtiuſmodi ſucula ad alterũ ſibi æquilibre
              <lb/>
            è manubrio ſuſpensũ eſſet in ratione 1000000000000000000000000000000
              <lb/>
            ad 1. </s>
            <s xml:id="echoid-s3157" xml:space="preserve">Poſita igitur perimetro minimi aſteriſci pedis unius tum tympani perime-
              <lb/>
            ter (per cujus centrum inductus eſt axis perimetri pedalis) inſtituti pancratii
              <lb/>
            manubrio æquepotĕtis eſſet pedũ 1000000000000000000000000000000,
              <lb/>
            Atqui maximi in terreno globo circuli ambitus nõ excedit pedes 108000000,
              <lb/>
            gradu æſtimato ſtadiis 480, ſtadio paſſibus geometricis 12@, paſſu denique pe-
              <lb/>
            dibus 5. </s>
            <s xml:id="echoid-s3158" xml:space="preserve">Itaque ambitus tympani huic tantulo pancratio æquivalentis aliquot
              <lb/>
            millies millenis modis maximum terreſtrem circulũ excederet. </s>
            <s xml:id="echoid-s3159" xml:space="preserve">Iam verò pan-
              <lb/>
            cratii manubrium infimo aſteriſco affixum, verſet aliquis puſio qui paulò effi-
              <lb/>
            cacius in id agat quam unius libræ pondus, is ſummo axi abſolvet funem
              <lb/>
            100000000000000000000000000000000 libras ducentem (adverte tamen
              <lb/>
            ſummum iſtum axem die uno ne ſemel quidem integrè circumductum iri) quę
              <lb/>
            univerſæ terræ molem cæteraq́ue hac comprehenſa quater millies ſuo pondere
              <lb/>
            excederent, cujus demonſtratio hujuſmodi affertur. </s>
            <s xml:id="echoid-s3160" xml:space="preserve">Ambitus maximi terreſtris
              <lb/>
            circuli eſt pedum 108000000, ut jam ſupra docuimus, unde efficitur aream mi-
              <lb/>
            norem eſſe pedibus 1000000000000000, at que ſphæricam terræ ſuperſiciem
              <lb/>
            minorem 4000000000000000 pedibus; </s>
            <s xml:id="echoid-s3161" xml:space="preserve">ſextans autem ſemidiametri globi
              <lb/>
            terreſtris minor eſt pedibus 6000000 quæ multiplicata cũ 4000000000000000
              <lb/>
            efficiunt 24000000000000000000000 cubicos pedes lõgè majores univer-
              <lb/>
            ſæterræ ſoliditate, jam ſingulorũ pedum pondere (liceteò neutiquã pertingat)
              <lb/>
            100 libris taxato, univerſiterrarum orbis põdus 2400000000000000000000000
              <lb/>
            libris cedere intelliges qui numerus per 4000 multiplicatus longè infra expo-
              <lb/>
            ſitum 1000000000000000000000000000000 conſiſtit.</s>
            <s xml:id="echoid-s3162" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3163" xml:space="preserve">Meritò igitur machinæ huic infinitam potentiam tribuimus. </s>
            <s xml:id="echoid-s3164" xml:space="preserve">Neque Archi-
              <lb/>
            medis exclamatio, δός μοι π{omi;</s>
            <s xml:id="echoid-s3165" xml:space="preserve">ῦ} ςῶ {καὶ}, κινῶ τ{ὴν} γ{ήν} da mihi ubi conſiſtam & </s>
            <s xml:id="echoid-s3166" xml:space="preserve">ter-
              <lb/>
            ram hanc eo pertraham, in quam ob inventũ à ſe Chariſtion quondam ovans
              <lb/>
            erupit, impoſſibilis autabſona videri debet. </s>
            <s xml:id="echoid-s3167" xml:space="preserve">imò rationi conſentaneam jam evi-
              <lb/>
            cimus, ſecus radiorum & </s>
            <s xml:id="echoid-s3168" xml:space="preserve">ponderum reciproca proportio quæ prima primi li-
              <lb/>
            bri propoſitionenobis demonſtrata ſuit, à veritate diſſideret, quod ipſum & </s>
            <s xml:id="echoid-s3169" xml:space="preserve">fal-
              <lb/>
            ſum & </s>
            <s xml:id="echoid-s3170" xml:space="preserve">impoſſibile eſt. </s>
            <s xml:id="echoid-s3171" xml:space="preserve">Vt tamen etiam exemplo veritas ejus eluceſcat; </s>
            <s xml:id="echoid-s3172" xml:space="preserve">demus
              <lb/>
            Chariſtio, vel huic Pancratio locum extra hanc terram ubi defigi poſſit, glo-
              <lb/>
            bumq́; </s>
            <s xml:id="echoid-s3173" xml:space="preserve">hunc terrenũ ponderi jam dicto 2400000000000000000000000 ℔
              <lb/>
            æqualem, atque hominem ſingulis manubrii verſuris 100 libras tres pedes ſu-
              <lb/>
            blimè attollere, horisq́ue ſingulis 4000 verſationes conficere idque decem cõ-
              <lb/>
            tinuorum annorum jugi motu, annis ſingulis 365 diebus definitis, manifeſtum
              <lb/>
            eſt terram iſto temporis ſpatio {10512/24000000000000000000} unius pedis ſua ſede emotum
              <lb/>
            iri, & </s>
            <s xml:id="echoid-s3174" xml:space="preserve">quamvis quantitas iſta nec cerni nec notari poſſit, potentia tamen infinita
              <lb/>
            nobis ita demonſtratur & </s>
            <s xml:id="echoid-s3175" xml:space="preserve">animo concipitur, quæ multis annorum ſeculis con-
              <lb/>
            tinuata motum oculis quoque notabilem produceret.</s>
            <s xml:id="echoid-s3176" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3177" xml:space="preserve">Deinceps verò in cæteris Pancratii formis humano uſui accommodis, quo-
              <lb/>
            modo in navi machina impenſa exigua loco γepávß ſeu tympani qua onera
              <lb/>
            imponantur atque eximantur, qua anchoræ majores adducantur cõſtitui poſ-
              <lb/>
            ſit; </s>
            <s xml:id="echoid-s3178" xml:space="preserve">Quomodo præla olearea vinaria atque hujus generis cætera vehementiffi-
              <lb/>
            mè comprimantur; </s>
            <s xml:id="echoid-s3179" xml:space="preserve">quomodo ſplendidis ſtructionibus maximi lapides </s>
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