Theodosius <Bithynius>; Clavius, Christoph, Theodosii Tripolitae Sphaericorum libri tres
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            cipient circunferentias de maximo parallelorum,
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            quarum propior circulo maximo primò poſito
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            ſemper erit maior remotiore.</s>
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            <s xml:id="echoid-s3033" xml:space="preserve">IN ſphæra maximus circulus A B, tangat circulum A C, in A; </s>
            <s xml:id="echoid-s3034" xml:space="preserve">atque adeo
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              <note position="right" xlink:label="note-091-01" xlink:href="note-091-01a" xml:space="preserve">6. 2. huius.</note>
            alium illi æqualem, & </s>
            <s xml:id="echoid-s3035" xml:space="preserve">parallelum: </s>
            <s xml:id="echoid-s3036" xml:space="preserve">& </s>
            <s xml:id="echoid-s3037" xml:space="preserve">alius circulus maximus D E, ad paralle-
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            los obliquus tangat alios parallelos maiores, ſintq́ue cõtactus in circulo A B,
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            cuiuſmodi eſt punctum D; </s>
            <s xml:id="echoid-s3038" xml:space="preserve">& </s>
            <s xml:id="echoid-s3039" xml:space="preserve">ſit B E, parallelorum maximus: </s>
            <s xml:id="echoid-s3040" xml:space="preserve">Ex obliquo au-
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            tem circulo D E, ſumantur arcus æquales F G, G H; </s>
            <s xml:id="echoid-s3041" xml:space="preserve">& </s>
            <s xml:id="echoid-s3042" xml:space="preserve">per puncta F, G, H,
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            circuli maximi deſeribantur C I, K L, M N, tangentes parallelum A C, in
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            C, K, M, ſecantesq́ue B E, maximum parallelorum in I, L, N, ita vt ſimiles
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              <figure xlink:label="fig-091-01" xlink:href="fig-091-01a" number="97">
                <image file="091-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/YC97H42F/figures/091-01"/>
              </figure>
            arcus parallelorum interci-
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            piant, eorumque ſemicirculi
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            à punctis C, K, M, incipien-
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            tes, & </s>
            <s xml:id="echoid-s3043" xml:space="preserve">per F, G, H, tranſeun-
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            tes non conueniant cum ſe-
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            micirculo circuli A B, ab A,
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            incipiente, & </s>
            <s xml:id="echoid-s3044" xml:space="preserve">per B, tran-
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            ſeunte. </s>
            <s xml:id="echoid-s3045" xml:space="preserve">Dico arcum I L, ma-
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            iorem eſſe arcu L N. </s>
            <s xml:id="echoid-s3046" xml:space="preserve">Deſcri-
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            bantur enim per F, G, H, pa-
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            ralleli P F, Q G, R H, ſecan-
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            tes circulum K L, in O, S. </s>
            <s xml:id="echoid-s3047" xml:space="preserve">Erit
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              <note position="right" xlink:label="note-091-02" xlink:href="note-091-02a" xml:space="preserve">7 huius.</note>
            ergo arcus P Q, maior arcu
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            Q R; </s>
            <s xml:id="echoid-s3048" xml:space="preserve">quibus cum ſint æqua-
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              <note position="right" xlink:label="note-091-03" xlink:href="note-091-03a" xml:space="preserve">13. 2. huius.</note>
            les arcus G O, G S, erit & </s>
            <s xml:id="echoid-s3049" xml:space="preserve">G O,
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            maior, quàm G S. </s>
            <s xml:id="echoid-s3050" xml:space="preserve">Fiat G T,
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            ipſi G S, æqualis, & </s>
            <s xml:id="echoid-s3051" xml:space="preserve">per T, pa
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            rallelus deſeribatur V T, ſe-
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            cans circulum M N, in X. </s>
            <s xml:id="echoid-s3052" xml:space="preserve">Et
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            quoniam eommunis ſectio cir
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            culorum M N, V X, hoc eſt,
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            recta ab X, ſectione, ad alte-
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            ram ſectionem ducta auſert ſegmentum, quod incipit ab X, & </s>
            <s xml:id="echoid-s3053" xml:space="preserve">tranſit per V,
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            vſq; </s>
            <s xml:id="echoid-s3054" xml:space="preserve">ad alteram ſectionem, ſemicirculo minus; </s>
            <s xml:id="echoid-s3055" xml:space="preserve">(Nam circulus maximus M N,
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            ſecans parallelum V X, non per polos auſert ſegmentum maius ſemicirculo,
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              <note position="right" xlink:label="note-091-04" xlink:href="note-091-04a" xml:space="preserve">19. 2. huius.</note>
            quod nimirum eſt inter maximum parallelorum, & </s>
            <s xml:id="echoid-s3056" xml:space="preserve">polum conſpicuum, quale
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            eſt ſegmentum incipiens ab X, & </s>
            <s xml:id="echoid-s3057" xml:space="preserve">tranſiens per α, vſque ad alteram ſectio-
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            nem cum circulo M N.) </s>
            <s xml:id="echoid-s3058" xml:space="preserve">aufertq́ue ex maximo circulo M N, ſegmentum maius
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            ſemicirculo, quod nimirum ab X, incipiens per N, ad alteram ſectionem tran-
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            ſit; </s>
            <s xml:id="echoid-s3059" xml:space="preserve">eſtq́ue ſegmentum X V, ad ſegmentum X M, inclinatum verſus partes R.
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            </s>
            <s xml:id="echoid-s3060" xml:space="preserve">Nam ſi per N, & </s>
            <s xml:id="echoid-s3061" xml:space="preserve">Y, polum parallelorum circulus maximus deſcribatur Y N,
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            erit hic rectus ad B E. </s>
            <s xml:id="echoid-s3062" xml:space="preserve">Ergo M N, qui inter hos duos eſt poſitus, (Quoniam
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              <note position="right" xlink:label="note-091-05" xlink:href="note-091-05a" xml:space="preserve">15. 1. huius
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              School. 15. 2.
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              huius.</note>
            enim ex puncto F, duo circuli tangentes parallelum A C, duci poſſunt, vnus
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            ad ſiniſtram circuli maximi Y N, & </s>
            <s xml:id="echoid-s3063" xml:space="preserve">ad dexteram alter, nos priorem eligimus,
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            vt nimirum ponatur inter maxim os circulos Y N, B E.) </s>
            <s xml:id="echoid-s3064" xml:space="preserve">ad eundem B E, </s>
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