Cavalieri, Buonaventura, Geometria indivisibilibvs continvorvm : noua quadam ratione promota

Table of contents

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[151.] Finis Primi Libri.
Page: 118 (98)
[152.] CAVALER II LIBER SECVNDVS.
Page: 119 (99)
[153.] DIFINITIONES. I.
Page: 119 (99)
[154.] COROLLARIVM.
Page: 120 (100)
[155.] II.
Page: 120 (100)
[156.] COROLLARIVM.
Page: 120 (100)
[157.] III.
Page: 120 (100)
[158.] COROLLARIVM.
Page: 121 (101)
[159.] IV.
Page: 121 (101)
[160.] V.
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[161.] COROLLARIVM.
Page: 122 (102)
[162.] VI.
Page: 122 (102)
[163.] COROLLARIVM.
Page: 122 (102)
[164.] VII.
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[165.] A. VIII.
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[166.] B.
Page: 123 (103)
[167.] C.
Page: 123 (103)
[168.] D.
Page: 124 (104)
[169.] E.
Page: 124 (104)
[170.] APPENDIX. Pro antecedentium Definitionum explicatione.
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[171.] POSTVLATA I.
Page: 128 (108)
[172.] II.
Page: 128 (108)
[173.] THEOREMA I. PROPOS. I.
Page: 128 (108)
[174.] SCHOLIVM.
Page: 131 (111)
[175.] THEOREMA II. PROPOS. II.
Page: 132 (112)
[176.] COROLLARIV M.
Page: 133 (113)
[177.] THEOREMA III. PROPOS. III.
Page: 133 (113)
[178.] COROLLARIVM.
Page: 135 (115)
[179.] THEOREMA IV. PROPOS. IV.
Page: 135 (115)
[180.] COROLLARIVM.
Page: 136 (116)
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            figuræ, quæ erunt dictorum ſimilium ſolidorum, & </s>
            <s xml:id="echoid-s3201" xml:space="preserve">tangentium op
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            poſitorum, figuræ incidentes, ſint igitur talia duo plana, quorum,
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            & </s>
            <s xml:id="echoid-s3202" xml:space="preserve">oppoſitorum planorum tangentium in ſolido, AP, communes ſe-
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            ctiones, HL, OO, G, & </s>
            <s xml:id="echoid-s3203" xml:space="preserve">ſolidi, V &</s>
            <s xml:id="echoid-s3204" xml:space="preserve">, Σ 3, 28, in his autem pla-
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              <note position="left" xlink:label="note-0154-01" xlink:href="note-0154-01a" xml:space="preserve">Defin. 11.
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              lib. 1.</note>
            nis ſint eorum incidentes figuræ, H {00/ }, Σ 2, iſtæ igitur erunt figuræ
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            fimiles, & </s>
            <s xml:id="echoid-s3205" xml:space="preserve">tangentur à dictis communibus ſectionibus, quæ erunt li-
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              <note position="left" xlink:label="note-0154-02" xlink:href="note-0154-02a" xml:space="preserve">B. Def. 10.
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              Lib. 1.</note>
            nearum homologarum earundem etiam regulæ, ſint earum inciden,
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            tes vtcunque inter eaſdem ductæ, LG, 38, & </s>
            <s xml:id="echoid-s3206" xml:space="preserve">extendantur inter di-
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            cta oppoſita tangentia vtcunque plana eiſdem æquidiſtantia, altitu-
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            dines propoſitorum ſolidorum reſpectu dictorum tangentium ſum-
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            ptas ſimiliter ad eandem partem diuidentia, ſit igitur vnius ductorum
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            planorum concepta in ſolido, AP, figura, BC, eiuſdem autem, & </s>
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            figuræ, H {00/ }, communis ſectio, OX, quod etiam ſecet incidentem
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            figuræ, H {00/ }, quæ eſt, LG, in, E; </s>
            <s xml:id="echoid-s3208" xml:space="preserve">pariter alterius planiconcepta
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            in ſolido, V &</s>
            <s xml:id="echoid-s3209" xml:space="preserve">, figura ſit, Π Ω, idem verò planum ſecet figuram, Σ </s>
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