Theodosius <Bithynius>; Clavius, Christoph, Theodosii Tripolitae Sphaericorum libri tres

Table of contents

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[71.] THEOREMA 1. PROPOS. 1.
[72.] THEOREMA 2. PROPOS. 2.
[73.] SCHOLIVM.
[74.] THEOREMA 3. PROPOS. 3.
[75.] THEOREMA 4. PROPOS. 4.
[76.] THEOR. 5. PROPOS. 5.
[77.] THEOREMA 6. PROPOS. 6.
[78.] COROLLARIVM.
[79.] THEOREMA 7. PROPOS. 7.
[80.] SCHOLIVM.
[81.] THEOR. 8. PROP. 8.
[82.] SCHOLIVM.
[83.] THEOR. 9. PROPOS. 9.
[84.] SCHOLIVM.
[86.] THEOR, 10. PROP. 10.
[87.] THEOR. 11. PROP. 11
[88.] THEOR. 12. PROPOS. 12.
[89.] THEOREMA 13. PROPOS. 13.
[90.] PROBL. 1. PROP. 14.
[91.] PROBL. 2. PROPOS. 15.
[92.] SCHOLIVM.
[93.] THEOR. 14. PROPOS. 16.
[94.] SCHOLIVM.
[95.] THEOREMA 15. PROPOS. 17.
[96.] THEOR 16. PROPOS. 18.
[97.] THEOR. 17. PROPOS. 19.
[98.] THEOREMA 18. PROPOS. 20.
[99.] COROLLARIVM.
[100.] THEOREMA 19. PROPOS. 21.
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            <s xml:id="echoid-s3671" xml:space="preserve">
              <pb o="96" file="108" n="108" rhead=""/>
            modo, quoniam ſimiles ſunt arcus BN, Gk, erit BE, alteri polo propior ma-
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            ior, quàm vt ſimilis ſit arcui Gk, ab eodem polo remotiori. </s>
            <s xml:id="echoid-s3672" xml:space="preserve">Itaque ſi in ſphæ-
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            ra maximus circulus aliquẽ circulum tangat, &</s>
            <s xml:id="echoid-s3673" xml:space="preserve">c. </s>
            <s xml:id="echoid-s3674" xml:space="preserve">Quod erat demonſtrandum.</s>
            <s xml:id="echoid-s3675" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div302" type="section" level="1" n="139">
          <head xml:id="echoid-head153" xml:space="preserve">FINIS LIBRI III. THEODOSII.</head>
          <head xml:id="echoid-head154" xml:space="preserve">AD LECTOREM.</head>
          <p style="it">
            <s xml:id="echoid-s3676" xml:space="preserve">POTERVNT, ſi placet, hæ duæ figuræ tribus illis propoſitionis
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            ſecundæ lib. </s>
            <s xml:id="echoid-s3677" xml:space="preserve">3. </s>
            <s xml:id="echoid-s3678" xml:space="preserve">adiungi, vt omnes caſus lineæ perpendicularis FL, per-
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            ſpiciantur. </s>
            <s xml:id="echoid-s3679" xml:space="preserve">In prima namque harum figurarum ſegmentum inſiſtens
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              <figure xlink:label="fig-108-01" xlink:href="fig-108-01a" number="112">
                <image file="108-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/YC97H42F/figures/108-01"/>
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            AFB, eſt ſemicircu-
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            lus, caditq́, perpendicu
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            laris FL, intra ſegmen
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            tum ADB: </s>
            <s xml:id="echoid-s3680" xml:space="preserve">In poſte-
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            riore autẽ eadem FL,
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            in ipſam circunferen-
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            tiam ADB, cadit,
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            exiſtente eodem ſegmen
              <lb/>
            to inſiſtente AFB, ſe-
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            micirculo; </s>
            <s xml:id="echoid-s3681" xml:space="preserve">quemadmo-
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            dum & </s>
            <s xml:id="echoid-s3682" xml:space="preserve">in tertia figura dictæ propoſitionis idem ſegmentum inſiſtens
              <lb/>
            AFB, ſemicirculus eſt, linea́ perpendicularis FL, extra ſegmentum
              <lb/>
            ADB, cadit. </s>
            <s xml:id="echoid-s3683" xml:space="preserve">Hoc, benigne lector, te latere noluimus.</s>
            <s xml:id="echoid-s3684" xml:space="preserve"/>
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