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

Table of contents

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[121.] LEMMA. I.
[122.] LEMMA. I I.
[123.] THEOREMA 9. PROPOS. 9.
[124.] SCHOLIVM.
[125.] I.
[126.] II.
[127.] III.
[128.] THEOREMA 10. PROPOS. 10.
[129.] COROLLARIVM.
[130.] THEOR. 11. PROPOS. 11.
[131.] LEMMA.
[132.] SCHOLIVM.
[133.] COROLLARIVM.
[134.] THEOREMA 12. PROPOS 12.
[135.] SCHOLIVM.
[136.] THEOR. 13. PROPOS. 13.
[137.] SCHOLIVM.
[138.] THEOREMA 14. PROPOS. 14.
[139.] FINIS LIBRI III. THEODOSII. AD LECTOREM.
[140.] CHRISTOPHORI CLAVII BAMBERGENSIS E SOCIETATE IESV SINVS, VEL SEMISSES RECTARVM IN CIRCVLO SVBTENSARVM: LINEAE TANGENTES: ATQVE SECANTES.
[141.] CHRISTOPHORI CLAV II BAMBERGENSIS E SOCIETATE IESV SINVS, VEL SEMISSES RECTARVM in circulo ſubtenſarum: LINEÆ TANGENTES, ATQVE SECANTES. PRÆFATIO.
[142.] DEFINITIONES. I.
[143.] II.
[144.] III.
[145.] Vel aliter.
[146.] IIII.
[148.] VI.
[149.] VII.
[150.] LEMMA.
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            atque Iohanne Regiomontano, demonſtrationes
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            colligam, quibus omnium arcuum ſinus & </s>
            <s xml:id="echoid-s3691" xml:space="preserve">chor-
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            das cognitas babeamus, vt & </s>
            <s xml:id="echoid-s3692" xml:space="preserve">tabulas Sinuum,
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            ac chordarumiam à multis ſcriptoribus ſuppu-
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            tatas examinare, (facile enim error in numero-
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            rum impreßione committitur) & </s>
            <s xml:id="echoid-s3693" xml:space="preserve">nouas alias,
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            quandores tulerit (poſito Sinu toto vel diame-
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            tro quotcunq; </s>
            <s xml:id="echoid-s3694" xml:space="preserve">particularum) condere poßimus.</s>
            <s xml:id="echoid-s3695" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s3696" xml:space="preserve">QVONIAM vero Recentiores ſumma
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            felicitate ex ſinubus alias lineas collegerũt, nimi-
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            rum Tangentes, atque Secantes, vt facilius
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            quædam, ac breuius demonſtrarent; </s>
            <s xml:id="echoid-s3697" xml:space="preserve">de biſce e-
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            tiam lineis agemus. </s>
            <s xml:id="echoid-s3698" xml:space="preserve">Habent enim lineæ hæ egre-
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            gium vſum in rebus Aſtronomicis & </s>
            <s xml:id="echoid-s3699" xml:space="preserve">Geome-
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            tricis, vt ex noſtris triangulis planis, ac sphæri-
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            cis fiet per ſpicuum. </s>
            <s xml:id="echoid-s3700" xml:space="preserve">Initium autem ſumemus à
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            definitionibus.</s>
            <s xml:id="echoid-s3701" xml:space="preserve"/>
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        <div xml:id="echoid-div307" type="section" level="1" n="142">
          <head xml:id="echoid-head167" xml:space="preserve">DEFINITIONES.</head>
          <head xml:id="echoid-head168" xml:space="preserve">I.</head>
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            <s xml:id="echoid-s3702" xml:space="preserve">COMPLEMENTVM arcus alicuius, eſt
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              mentũ at-
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              ous quid.</note>
            exceſſus, quo quadrans eum ſuperat, ſi arcus mi-
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            nor eſt quadrante, vel ab eo ſuperatur, ſi eſt qua-
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            drante maior.</s>
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