Archimedes, Archimedis De insidentibvs aqvae

Table of contents

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[Item 1.]
[2.] ARCHIMEDIS DE INSIDENTIBVS AQV AE. LIBER PRIMVS.
[3.] CVM PRIVILEGIO. TROIANO CVRTIO
[4.] VENETIIS, APVD CVRTIVM TROIANVM. M D LXV►
[5.] FABRITIO DENORES FILIO IACOBI COMITIS TRIPOLIS VCRTIVS TROIANVS S. P. D.
[6.] ARCHIMEDIS DE INSIDENTIBVS AQV AE. LIBER PRIMVS. Suppoſitio prima.
[7.] Theorema primum. Propoſitio prima.
[8.] Theorema ij. Propoſitio ij.
[9.] Theorema iij. Propoſitio iij.
[10.] Theorema iiij. Propoſitio iiij.
[11.] Theorema v. Propoſitio v.
[12.] Theorema vj. Propoſitio vj.
[13.] Theorema vij. Propoſitio vij.
[14.] Suppoſitio ſecunda.
[15.] Theorema viij. Propoſitio viij.
[16.] AR CHIM EDIS DE INSIDENTIBVS AQV AE.
[17.] LIBER SECVNDVS. TROIANO CVRTIO VENETIIS, APVD TROIANVM CVRTIVM. M D L X V
[18.] FABRITIO DENORES FILIO IACOBI COMITIS TRIPOLIS CVRTIVS TROIANVS S. P. D.
[19.] INSIDENTIBVS AQV AE. LIB. II. PRIMVS.
[20.] SECVNDVS.
[21.] TERTIVS.
[22.] QVARTVS.
[23.] QVINTVS.
[24.] SEXTVS.
[25.] SEPTIMVS.
[26.] OCTAVVS.
[27.] NONVS.
[28.] DECIMVS.
[29.] Archimedis de inſidentibus in bumido li-ber ſecundus explicit, ad laudem Dei.
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              <pb file="0028" n="28" rhead="DE INSIDENTIBVS AQV AE"/>
            rectanguli coni quæ quidem K, h, æquediſtanter ipſi a, l, quo autem p, i,
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            æquediſtanter dy imetro ſecta ipſa K, ***. </s>
            <s xml:id="echoid-s392" xml:space="preserve">Quæ autem a s, æquediſtanter
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            contingenti ſecundum p. </s>
            <s xml:id="echoid-s393" xml:space="preserve">neceſſarium eſt ipſam p, i, autem
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            eandem proportionem habere ad p, h, quam habet quæ n, ***, ad ***, o,
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            maiorem proportionem demonſtratum eſt enim hoc perſumpta. </s>
            <s xml:id="echoid-s394" xml:space="preserve">Quæ au
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            tem ***, h, _est_ æmyolia ipſius ***, o, & </s>
            <s xml:id="echoid-s395" xml:space="preserve">quæ i, h. </s>
            <s xml:id="echoid-s396" xml:space="preserve">Ergo aut æmyolia eſt ip-
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            ſius h, p, aut maior quàm æmyolia quæ ergo p, h, ipſius h, i, aut dupla _est_,
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            aut minor quàm dupla. </s>
            <s xml:id="echoid-s397" xml:space="preserve">Sit autem quæ p, t, ipſius t, i, dupla. </s>
            <s xml:id="echoid-s398" xml:space="preserve">Centrum er
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            go grauitatis eius quod in humido _est_ ſignum t, & </s>
            <s xml:id="echoid-s399" xml:space="preserve">copulata quæ t, f, edu
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            catur, & </s>
            <s xml:id="echoid-s400" xml:space="preserve">ſit centrum grauitatis eius quòd extra humidum g, & </s>
            <s xml:id="echoid-s401" xml:space="preserve">a, b, ip
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            ſi n, o, recta quę b, r. </s>
            <s xml:id="echoid-s402" xml:space="preserve">Quoniam igitur est quæ quidem p, i, æ quedistanter
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            dyametro n, o, quæ autem b, r, perpendicularis ſuper dyametrum. </s>
            <s xml:id="echoid-s403" xml:space="preserve">Quæ
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            autem f, b, æqualis ei quæ uſque ad axem palam quòd quę t, r, educta
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            æquales angulos ad contingentem ſectionem apol. </s>
            <s xml:id="echoid-s404" xml:space="preserve">ſecundum p, quare
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            & </s>
            <s xml:id="echoid-s405" xml:space="preserve">ad a, s, & </s>
            <s xml:id="echoid-s406" xml:space="preserve">ad ſuperficiem aquæ ductis autem per t, g, ęquediſtanter ip
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            ſif, b, erunt & </s>
            <s xml:id="echoid-s407" xml:space="preserve">ipſe perpendiculares ad ſuperficiem aquæ, & </s>
            <s xml:id="echoid-s408" xml:space="preserve">magnitudo
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