Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

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[41. COMMENTARIVS.]
[42. LEMMA I.]
[43. LEMMA II.]
[44. LEMMA III.]
[45. LEMMA IIII.]
[46. LEMMA V.]
[47. LEMMA VI.]
[48. II.]
[49. III.]
[50. IIII.]
[51. V.]
[52. DEMONSTRATIO SECVNDAE PARTIS.]
[53. COMMENTARIVS.]
[54. DEMONSTRATIO TERTIAE PARTIS.]
[55. COMMENTARIVS.]
[56. DEMONSTRATIO QVARTAE PARTIS.]
[57. DEMONSTRATIO QVINT AE PARTIS.]
[58. FINIS LIBRORVM ARCHIMEDIS DE IIS, QVAE IN AQVA VEHVNTVR.]
[59. FEDERICI COMMANDINI VRBINATIS LIBER DE CENTRO GRAVITATIS SOLIDORV M.]
[60. CVM PRIVILEGIO IN ANNOS X. BONONIAE, Ex Officina Alexandri Benacii. M D LXV.]
[61. ALEXANDRO FARNESIO CARDINALI AMPLISSIMO ET OPTIMO.]
[62. FEDERICI COMMANDINI VRBINATIS LIBER DE CENTRO GRAVITATIS SOLIDORVM. DIFFINITIONES.]
[63. PETITIONES.]
[64. THEOREMA I. PROPOSITIO I.]
[65. THEOREMA II. PROPOSITIO II.]
[66. THE OREMA III. PROPOSITIO III.]
[67. THE OREMA IIII. PROPOSITIO IIII.]
[68. ALITER.]
[69. THEOREMA V. PROPOSITIO V.]
[70. COROLLARIVM.]
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FED. COMMANDINI
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            tius figuræ inſcriptæ centrum grauitatis eſt in linea r e:
              <lb/>
            </s>
            <s xml:space="preserve">quod ſit τ: </s>
            <s xml:space="preserve">iũ-
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              <anchor type="figure" xlink:label="fig-0150-01a" xlink:href="fig-0150-01"/>
            ctaque τ f, & </s>
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              <lb/>
            producta, à
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            puncto h du-
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            catur linea a-
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            xi pyramidis
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            æquidiſtans,
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            quæ cũ linea
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            τ f conueniat
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            in φ. </s>
            <s xml:space="preserve">habebit
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            φ τ ad τ f ean-
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            dem propor-
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            tionem, quã
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            h e ad e g.
              <lb/>
            </s>
            <s xml:space="preserve">Quoniam igi
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            tur exceſſus,
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            quo circũſcri
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            pta figura in-
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            ſcriptam ſupe
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            rat, minor eſt
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            ſolido
              <emph style="sc">K</emph>
            ; </s>
            <s xml:space="preserve">py-
              <lb/>
            ramis ad eun-
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            dẽ exceſsũ ma
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            ioré propor-
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            tionȩ habet,
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            quàm ad _K_ ſo
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            lidum: </s>
            <s xml:space="preserve">uideli
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            cet maiorem,
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            quàm linea h
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            e ad e g; </s>
            <s xml:space="preserve">hoc
              <lb/>
            eſt quam φ τ
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            ad τ f: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">propterea multo maiorem habet ad partem ex-
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            ceſſus, quæ intra pyramidem comprehenditur. </s>
            <s xml:space="preserve">Itaque ha-</s>
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