Cardano, Girolamo, De subtilitate, 1663

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              <s id="s.011881">
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              ſimiliterque iuncta. </s>
              <s id="s.011882">Atque rurſus medios
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              ordines quotquot neceſſarium fuit conſti­
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              tuit eodem opere. </s>
              <s id="s.011883">Has trabes iuxta flu­</s>
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              <s id="s.011884">
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              Pons C. Cæ­
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              ſaris.</s>
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            <p type="caption">
              <s id="s.011885">
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              Schema medietatis pontis ab vno latere.
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              </s>
              <s id="s.011886">A, Sublicæ ſuperiores aduerſus flumen.
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              </s>
              <s id="s.011887">BB, Sublicæ inferiores annexæ ponti.
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              </s>
              <s id="s.011888">C, Tigna bina ſuperiora.
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              </s>
              <s id="s.011889">D, Trabs latitudinis duorum pedum.
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              </s>
              <s id="s.011890">E, E, E, E, Fibulæ connectentes D, tra­
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              bem cum tignis ſuperioribus, & inferio­
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              ribus.
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              </s>
              <s id="s.011891">F, Tigna bina inferiora.
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              minis curſum poſitas, multis, aliis tranſ­
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              uerſis ſuperpoſitis inuicem etiam conne­
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              xis iungito: quibus longuriis ac craticulis
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              ſuperſtratis pons efficitur. </s>
              <s id="s.011892">Ad cuius ſecu­
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              ritatem tigna plurima in ſuperiori fluminis
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              parte prona aduerſus fluuij impetum à
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              toto opere ſeparata: in inferiore ſublicæ, &
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              ipſæ aduerſus fluminis impetum, ſed ti­
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              gnis longè proniores, totique operi iun­
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              ctæ firmiter defigantur. </s>
              <s id="s.011893">Ita ſuperiora tigna,
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              fluminis impetum & proiectas trabes exci­
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              pient, & ipſa moles, vt magis premetur ab
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              vndis, mutuo complexu firmior reddetur.
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              </s>
              <s id="s.011894">Sed hic pons ſtabilis eſt, omníque oneri
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              ſufficiens. </s>
              <s id="s.011895">At celerem fabricam explicabunt
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              ſolæ funes & ergatæ, aut pelles inflatæ, aut
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              tigna iuncta.
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              </s>
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            <p type="margin">
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              Theatra bi­
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              na cum ſcena
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              complentia
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              amphithe­
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              rum.</s>
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            <p type="main">
              <s id="s.011897">Subtilior ſed minùs vtilis ratio amphi­
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              theatri, cuius meminit. </s>
              <s id="s.011898">Plinius. </s>
              <s id="s.011899">Ea ſic ſe
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              habet. </s>
              <s id="s.011900">Cùm filius M. </s>
              <s id="s.011901">Scauri funebres lu­
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              dos patri editurus, pompam Curtij æqua­
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              re non poſſet, quòd ille ſummo ſumptu
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              eos edidiſſet, diuitiis longè præſtans, in­
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              duſtria ſuperare tentauit. </s>
              <s id="s.011902">Itaque duo thea­
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              tra ſemicirculi forma cum ſcena fabricauit,
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              quæ edito ſcenæ ſpectaculo circumacta
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              cardilibus amphitheatrum explicarent: in
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              cuius orcheſtradum ludos edit, dúmque an­
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              tè in ſcenis ſpectacula, populus gentium
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              dormitor ludibrio audaciæ duobus cardi­
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              dinibus, & penſilij machina non ſolùm
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              penderet, ſed etiam circumageretur: quæ­
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              ritur meritò, quum ſcena Latina à ſum­
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              mo theatri vertice diſtet nonaginta parti­
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              bus tota diametros eſt 120. vt Vitruuius
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              docet, qua arte fieri poſſit, vt immota
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              ſcena ambo theatra in vnum coëant am­
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              phitheatrum. </s>
              <s id="s.011903">Ponantur igitur ſemicircu­
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              li duo A B C, & A D C, puncta me­
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              dia B & D. </s>
              <s id="s.011904">Sintque arcus A E & C F,
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              maiores nonaginta tertia minores nonagin­
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              ta ſexta. </s>
              <s id="s.011905">Quare rectè A E & C F, maiores
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              erunt 87. & minores octoginta nouem. </s>
              <s id="s.011906">Igitur
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              poſitis cardinibus in E & F, erunt G E &
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              H F, maiores 59. 2/3 minores 59. 11/12 Sunt
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              enim minores dimidio diametri, quia cardi­
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              nes diſtant à punctis B & D, quæ ſunt me­
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              dia ſemicirculorum, & ea diſtantia, vt ſup­
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              ponitur, maior eſt tribus partibus, & minor
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              ſex. </s>
              <s id="s.011907">Igitur A E & C F, prominebunt vltra
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              directum AC, id eſt vltra ſemidiametrum
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              plus quàm partibus vigintiſeptem 1/12 &
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              minus, quàm vigintinouem. </s>
              <s id="s.011908">1/3 Sed ſcena
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              prominet triginta partibus vltra ſemidia­
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              metrum, quia diſtat nonaginta partibus à
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              punctis B & D, igitur A & C, circumacta
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              non tangent ſcenam. </s>
              <s id="s.011909">Sed neque inuicem
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              impediens ſe, quia AE & AF, ſunt mino­
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              res centum ſexaginta nouem 2/3 in 1/60
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              partis, ſed A B & A D, ſunt maiores cen­
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              tum ſexaginta nouem 2/3 in. </s>
              <s id="s.011910">1/26 Nam A B
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              AD quadrata, iuncta ſunt æqualia quadra­
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              tis AF & AE, quia ſunt æqualia quadrato
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              totius dimetientis. </s>
              <s id="s.011911">Quum igitur AB & AD,
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              ſint inuicem æquales, & A E & A F inæ­
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              quales, erunt AB & A D, iunctæ maiores
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              AE & AF, iunctis 1/18 partis vnius. </s>
              <s id="s.011912">Igitur
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              eſt inuenire ſitum, in quo theatra circum­
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              uoluta non ſe impedient. </s>
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            <p type="main">
              <s id="s.011913">Oportet autem ſenſim, alternatímque
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              circumagere, quum (vt dixi) diſcrimen quo
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              ſeparari inuicem poſſunt, vix 1/18 vnius
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              partis ſuperet. </s>
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            <p type="main">
              <s id="s.011914">Sunt & duo alij modi, ſed minus elegan­
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              tes, quibus fabricari hac ratione theatra
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              poſſunt: verùm in altero theatra oui for­
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              mam referunt, vt non ſint rotunda: in reli­
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              qua quamuis in medio diuiſum ſit amphi­
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              theatrum, non tamen rectè, nec ſecundum
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              dimetientem. </s>
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            <p type="main">
              <s id="s.011915">Quarum ſubtilitatis exemplum eſt in tro­
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              chleis: conſtat hac ratione: Pondus A an­
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              nectitur trochleæ inferiori, in qua duo or­
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              biculi B & C, qui circumuertuntur. </s>
            </p>
            <p type="margin">
              <s id="s.011916">
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              Ponderum
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                <expan abbr="fã">familiè</expan>
              leuan
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              dorum ratio</s>
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            <p type="main">
              <s id="s.011917">In ſuperiore trochlea, duo alij D & E, fu­
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              nis circumagitur circa D, & deſcendit per F
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              ad C, & aſcendit per G, & circumuertitur
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              ad E, deſcendens per H, circumuertitur ipſi
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              B, & aſcendens trochleæ nectitur in K. </s>
              <s id="s.011918">Igi­
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              tur ex L pondus trahitur, & quia ſuſtinetur
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              ab FGHK, non erit niſi quarta pars ponde­
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              ris A, quæ à ſingulis funibus ſuſtinetur, qua­
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              re à quarta parte roboris ſurſum trahi po­
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              terit. </s>
              <s id="s.011919">Et ſi in ſingulis trochleis tres eſſent
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              orbiculi, à ſexta roboris parte: atque ita puer
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              poterit immenſum pondus ſurſum trahere,
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              niſi quantum funium grauitas, orbiculorum
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              aſperitas, & motus difficultas obſtant. </s>
              <s id="s.011920">Sed
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              quia temporum proportio eſt, vt potentia­
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              rum per binos orbiculos, quadruplo, per ter-</s>
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          </chap>
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