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

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        <div xml:id="echoid-div16" type="section" level="1" n="16">
          <head xml:id="echoid-head27" xml:space="preserve">SCHOLIVM.</head>
          <p style="it">
            <s xml:id="echoid-s97" xml:space="preserve">_ADDITVR_ in exemplari græco alia adhuc definitio, qua explicatur, quid ſit
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            planum ad planum ſimiliter inclinari, atque alterum ad alterum. </s>
            <s xml:id="echoid-s98" xml:space="preserve">Sed quoniam in-
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            clinatio plani ad planum ab Euclide explicata eſt lib. </s>
            <s xml:id="echoid-s99" xml:space="preserve">11. </s>
            <s xml:id="echoid-s100" xml:space="preserve">defin. </s>
            <s xml:id="echoid-s101" xml:space="preserve">6. </s>
            <s xml:id="echoid-s102" xml:space="preserve">At vero, quan-
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            do planum ad planum ſimiliter inclinari dicitur, atque alterum ad alterum, eodem
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            lib defin. </s>
            <s xml:id="echoid-s103" xml:space="preserve">7. </s>
            <s xml:id="echoid-s104" xml:space="preserve">declaratum eſt, ſtatui eam omnino omittere hoc loco, & </s>
            <s xml:id="echoid-s105" xml:space="preserve">ſequentem ap-
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            ponere non dißimilem definitioni 4. </s>
            <s xml:id="echoid-s106" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s107" xml:space="preserve">3. </s>
            <s xml:id="echoid-s108" xml:space="preserve">Euclidis, ita vt ſextum locum obtineat.</s>
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          <head xml:id="echoid-head28" xml:space="preserve">VI.</head>
          <p>
            <s xml:id="echoid-s110" xml:space="preserve">IN Sphæra æqualiter diſtare à centro ſphæræ
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            circuli dicuntur, cum perpendiculares, quæ à cen-
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            tro ſphærę in ipſorum plana ducuntur, ſunt æqua-
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            les. </s>
            <s xml:id="echoid-s111" xml:space="preserve">Longius autem abeſſe ille dicitur, in cuius pla-
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            num maior perpendicularis cadit.</s>
            <s xml:id="echoid-s112" xml:space="preserve"/>
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        <div xml:id="echoid-div18" type="section" level="1" n="18">
          <head xml:id="echoid-head29" xml:space="preserve">THEOREMA 1. PROPOS. 1.</head>
          <note position="right" xml:space="preserve">1.</note>
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            <s xml:id="echoid-s113" xml:space="preserve">SI Sphærica ſuperficies plano aliquo ſece-
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            tur, linea quæ fit in ſphæræ ſuperficie, eſt
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            circumferentia circuli.</s>
            <s xml:id="echoid-s114" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s115" xml:space="preserve">SECETVR Sphærica ſuperficies A B C, cuius centrum D, plano ali-
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            quo ſaciente in ſuperficie ſphæræ lineam B E F C G. </s>
            <s xml:id="echoid-s116" xml:space="preserve">Dico B E F C G, cir-
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              <figure xlink:label="fig-017-01" xlink:href="fig-017-01a" number="7">
                <image file="017-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/YC97H42F/figures/017-01"/>
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            cumferentiam eſ-
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            ſe circuli. </s>
            <s xml:id="echoid-s117" xml:space="preserve">Tran-
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            ſeat enim primò
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            planum ſecans per
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            centrũ ſphæræ D,
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            ita vt D, ſit in pla-
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            no ſecante, in quo
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            ex D, ad lineam fa
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            ctam B E F C G, du
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            cantur lineæ rectæ
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            quotcunque D E,
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            D F, D G. </s>
            <s xml:id="echoid-s118" xml:space="preserve">Quo-
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            niam igitur omnes
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            hæ lineæ ductæ,
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            quotcunque fuerint, cum ex centro ſphæræ ad eius ſuperficiem cadant, inter
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            ſe æquales ſunt, erit, per defin. </s>
            <s xml:id="echoid-s119" xml:space="preserve">15. </s>
            <s xml:id="echoid-s120" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s121" xml:space="preserve">1 Eucl. </s>
            <s xml:id="echoid-s122" xml:space="preserve">linea B E F C G, circunferen-
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            tia circulia, cuius centrum D, idem quod ſphæræ.</s>
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