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

Table of contents

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[11.] DEFINIT IONES. I
[12.] II.
[13.] III.
[14.] IIII.
[15.] V.
[16.] SCHOLIVM.
[17.] VI.
[18.] THEOREMA 1. PROPOS. 1.
[19.] COROLLARIVM.
[20.] HOCEST.
[21.] PROBL. 1. PROPOS. 2.
[22.] DATAE Sphæræ centrum inuenire.
[23.] COROLLARIVM.
[24.] THEOREMA 2. PROPOS. 3.
[25.] COROLLARIVM.
[26.] THEOREMA 3. PROPOS. 4.
[27.] THEOREMA 4. PROPOS. 5.
[28.] THEOREMA 5. PROPOS. 6.
[29.] THEOREMA 6. PROPOS. 7.
[30.] THEOREMA 7. PROPOS. 8.
[31.] SCHOLIVM.
[33.] II.
[34.] THEOR. 8. PROPOS. 9.
[35.] THEOR. 9. PROPOS. 10.
[36.] SCHOLIVM.
[38.] COROLLARIVM.
[39.] II.
[40.] COROLLARIVM.
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          <head xml:id="echoid-head122" xml:space="preserve">THEODOSII</head>
          <head xml:id="echoid-head123" xml:space="preserve">SPHAERICORVM</head>
          <head xml:id="echoid-head124" xml:space="preserve">LIBER TERTIVS.</head>
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          <head xml:id="echoid-head125" xml:space="preserve">THEOREMA 1. PROPOS. 1.</head>
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            <s xml:id="echoid-s2541" xml:space="preserve">SI recta linea circulum in partes inæ-
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            quales ſecet, ſuper qua conſtituatur re
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            ctum circuli ſegmentum, quod non
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            ſit maius ſemicirculo; </s>
            <s xml:id="echoid-s2542" xml:space="preserve">diuidatur au-
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            tem ſegmenti inſiſtentis circunferentia in duas in
              <lb/>
            æquales partes: </s>
            <s xml:id="echoid-s2543" xml:space="preserve">Recta linea ſubtendens earum mi-
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            norem, minima eſt linearum rectarum ductarum
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            ab eodem puncto ad minorem partem circunfe-
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            rentiæ primi circuli: </s>
            <s xml:id="echoid-s2544" xml:space="preserve">Rectarum verò ductarum ab
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            eo ipſo puncto ad circunferentiam interceptam
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            inter illam minimam rectam, & </s>
            <s xml:id="echoid-s2545" xml:space="preserve">diametrum, in
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            quam cadit perpendicularis deducta ab illo pun-
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            cto ſemper minimæ propior remotiore minor eſt.
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            </s>
            <s xml:id="echoid-s2546" xml:space="preserve">Omnium autem maxima eſt ea, quæ ab illo eodẽ
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            puncto ducitur ad extremitatem eiuſdem diame-
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            tri: </s>
            <s xml:id="echoid-s2547" xml:space="preserve">Item recta ſubtendens maiorem circunferen-
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            tiam ſegmenti inſiſtentis, minima eſt earum, quæ
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            cadunt in circunferentiam interceptam inter ip-
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            ſam, & </s>
            <s xml:id="echoid-s2548" xml:space="preserve">diametrum, ſemperque huic propior </s>
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