Stevin, Simon
,
Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis
,
1605
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*DE STATICÆ PRAXI*
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<
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xml:space
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">Quamobrem ſi in ſtitueretur pancration 30 orbiculis axiculisq́ue, cujus maxi-
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mus aſteriſcus minimi eſſet decuplus, tum manubrii flexura maximi aſteriſci ſe-
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midiametro, & </
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<
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xml:space
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">ſucula S minimo aſteriſco æqualis, quę in ſpeciem machina ad-
<
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modũ magnę molis nõ foret, põdus ab iſtiuſmodi ſucula ad alterũ ſibi æquilibre
<
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è manubrio ſuſpensũ eſſet in ratione 1000000000000000000000000000000
<
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ad 1. </
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<
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xml:space
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">Poſita igitur perimetro minimi aſteriſci pedis unius tum tympani perime-
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ter (per cujus centrum inductus eſt axis perimetri pedalis) inſtituti pancratii
<
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/>
manubrio æquepotĕtis eſſet pedũ 1000000000000000000000000000000,
<
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Atqui maximi in terreno globo circuli ambitus nõ excedit pedes 108000000,
<
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gradu æſtimato ſtadiis 480, ſtadio paſſibus geometricis 12@, paſſu denique pe-
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dibus 5. </
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<
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xml:space
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">Itaque ambitus tympani huic tantulo pancratio æquivalentis aliquot
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millies millenis modis maximum terreſtrem circulũ excederet. </
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>
<
s
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xml:space
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">Iam verò pan-
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cratii manubrium infimo aſteriſco affixum, verſet aliquis puſio qui paulò effi-
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cacius in id agat quam unius libræ pondus, is ſummo axi abſolvet funem
<
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100000000000000000000000000000000 libras ducentem (adverte tamen
<
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ſummum iſtum axem die uno ne ſemel quidem integrè circumductum iri) quę
<
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univerſæ terræ molem cæteraq́ue hac comprehenſa quater millies ſuo pondere
<
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excederent, cujus demonſtratio hujuſmodi affertur. </
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<
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xml:space
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">Ambitus maximi terreſtris
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circuli eſt pedum 108000000, ut jam ſupra docuimus, unde efficitur aream mi-
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norem eſſe pedibus 1000000000000000, at que ſphæricam terræ ſuperſiciem
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minorem 4000000000000000 pedibus; </
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<
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">ſextans autem ſemidiametri globi
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terreſtris minor eſt pedibus 6000000 quæ multiplicata cũ 4000000000000000
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efficiunt 24000000000000000000000 cubicos pedes lõgè majores univer-
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ſæterræ ſoliditate, jam ſingulorũ pedum pondere (liceteò neutiquã pertingat)
<
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100 libris taxato, univerſiterrarum orbis põdus 2400000000000000000000000
<
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libris cedere intelliges qui numerus per 4000 multiplicatus longè infra expo-
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ſitum 1000000000000000000000000000000 conſiſtit.</
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<
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<
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xml:space
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">Meritò igitur machinæ huic infinitam potentiam tribuimus. </
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<
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xml:space
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medis exclamatio, δός μοι π{omi;</
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<
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">ῦ} ςῶ {καὶ}, κινῶ τ{ὴν} γ{ήν} da mihi ubi conſiſtam & </
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ram hanc eo pertraham, in quam ob inventũ à ſe Chariſtion quondam ovans
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erupit, impoſſibilis autabſona videri debet. </
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<
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xml:space
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">imò rationi conſentaneam jam evi-
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cimus, ſecus radiorum & </
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<
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xml:space
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">ponderum reciproca proportio quæ prima primi li-
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bri propoſitionenobis demonſtrata ſuit, à veritate diſſideret, quod ipſum & </
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ſum & </
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">impoſſibile eſt. </
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<
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xml:space
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">Vt tamen etiam exemplo veritas ejus eluceſcat; </
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<
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Chariſtio, vel huic Pancratio locum extra hanc terram ubi defigi poſſit, glo-
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bumq́; </
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<
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xml:space
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">hunc terrenũ ponderi jam dicto 2400000000000000000000000 ℔
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æqualem, atque hominem ſingulis manubrii verſuris 100 libras tres pedes ſu-
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blimè attollere, horisq́ue ſingulis 4000 verſationes conficere idque decem cõ-
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tinuorum annorum jugi motu, annis ſingulis 365 diebus definitis, manifeſtum
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eſt terram iſto temporis ſpatio {10512/24000000000000000000} unius pedis ſua ſede emotum
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iri, & </
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<
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">quamvis quantitas iſta nec cerni nec notari poſſit, potentia tamen infinita
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nobis ita demonſtratur & </
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">animo concipitur, quæ multis annorum ſeculis con-
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tinuata motum oculis quoque notabilem produceret.</
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<
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">Deinceps verò in cæteris Pancratii formis humano uſui accommodis, quo-
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modo in navi machina impenſa exigua loco γepávß ſeu tympani qua onera
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imponantur atque eximantur, qua anchoræ majores adducantur cõſtitui poſ-
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ſit; </
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mè comprimantur; </
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<
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