DelMonte, Guidubaldo, Mechanicorvm Liber

Page concordance

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              <s id="id.2.1.85.8.1.1.0">Sit vectis AB, cuius ful­
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              cimentum C; & ex puncto B
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              ſit pondus D ſuſpenſum; ſitq;
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              potentia in A mouens pon­
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              dus D vecte AB. </s>
              <s id="id.2.1.85.8.1.1.0.a">Dico ſpa­
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              tium potentiæ in A ad ſpa­
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              tium ponderis ita eſſe, vt CA
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              ad CB. </s>
              <s id="id.2.1.85.8.1.1.0.b">Moueatur vectis AB,
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              & vt pondus D ſurſum mo­
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              ueatur, oportet B ſurſum mo
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              ueri, A verò deorſum. </s>
              <s id="id.2.1.85.8.1.2.0">& quo­
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              niam C eſt punctum immobi
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              le; idcirco dum A, & B mo­
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              uentur,
                <expan abbr="circulorũ">circulorum</expan>
              circumferen
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              tias deſcribent. </s>
              <s id="id.2.1.85.8.1.3.0">Moueatur igi­
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              tur AB in EF; erunt AE
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                <figure id="id.036.01.098.1.jpg" place="text" xlink:href="036/01/098/1.jpg" number="91"/>
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              BF circulorum circumferentiæ, quorum ſemidiametri ſunt CA
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              CB. </s>
              <s id="N12D91">tota compleatur circumferentia AGE, & tota BHF; ſintq;
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              KH puncta, vbi AB, & EF circulum BHF ſecant. </s>
              <s id="id.2.1.85.8.1.4.0">Quoniam e­
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              nim angulus BCF eſt æqualis angulo HCk; erit circumferentia
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              kH circumferentiæ BF æqualis. </s>
              <s id="id.2.1.85.8.1.5.0">cùm autem circumferentiæ AE
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              kH ſint ſub eodem angulo ACE, & circumferentia AE ad to­
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              tam circumferentiam AGE ſit, vt angulus ACE ad quatuor re­
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              ctos; vt autem idem angulus HCk ad quatuor rectos, ita quoq;
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              eſt circumferentia HK ad totam circumferentiam HBK; erit cir
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              cumferentia AE ad totam circumferentiam AGE, vt circumfe­
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                <arrow.to.target n="note141"/>
              rentia kH ad totam kFH. </s>
              <s id="id.2.1.85.8.1.5.0.a">& permutando, vt circumferentia
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              AE ad circumferentiam kH, hoc eſt BF, ita tota circumferen­
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              tia AGE ad totam circumferentiam BHF. </s>
              <s id="id.2.1.85.8.1.5.0.b">tota verò circumfe
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              rentia AGE ita ſe habet ad totam BHF, vt diameter circuli AEG
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              ad diametrum circuli BHF. </s>
              <s id="id.2.1.85.8.1.5.0.c">Vt igitur circumferentia AE ad cir
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              cumferentiam BF, ita diameter circuli AGE ad diametrum cir
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              culi BHF: vt autem diameter ad diametrum, ita ſemidiameter
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              ad ſemidiametrum, hoc eſt CA ad CB: quare vt circumferen­
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              tia AE ad circumferentiam BF, ita CA ad CF. </s>
              <s id="N12DD0">circumferentia
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              verò AE ſpatium eſt potentiæ motæ, & circumferentia BF eſt </s>
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