Apollonius <Pergaeus>, Apollonii Pergaei Conicorvm Lib. V. VI. VII. paraphraste Abalphato Asphahanensi : nunc primum editi ; additvs in calce Archimedis assvmptorvm liber, ex codibvs arabicis mss Abrahamus Ecchellensis Maronita latinos reddidit, Jo. Alfonsvs Borellvs curam in geometricis versione contulit & [et] notas vberiores in vniuersum opus adiecit

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              <pb o="115" file="0153" n="153" rhead="Conicor. Lib. V."/>
            ſimilia; </s>
            <s xml:id="echoid-s4602" xml:space="preserve">pariterque duo triangula E F C, T b F ſimilia erunt; </s>
            <s xml:id="echoid-s4603" xml:space="preserve">& </s>
            <s xml:id="echoid-s4604" xml:space="preserve">propterea S a
              <lb/>
            ad a F eandem æqualitatis proportionem habebit, quàm I C habebat ad C F, ſi-
              <lb/>
            militer T b ad b F eandem proportionem habebit, quàm E C ad C F, ſeu quàm
              <lb/>
            latus tranſuerſum D C ad eius latus rectum: </s>
            <s xml:id="echoid-s4605" xml:space="preserve">eſtvero T b æqualis S a, ſeu a F;
              <lb/>
            </s>
            <s xml:id="echoid-s4606" xml:space="preserve">ergo F a ad F b eandem proportionem habet, quàm latus tranſuerſum D C ad
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            eius latus rectum; </s>
            <s xml:id="echoid-s4607" xml:space="preserve">& </s>
            <s xml:id="echoid-s4608" xml:space="preserve">comparando antecedentes ad differentias terminorum.</s>
            <s xml:id="echoid-s4609" xml:space="preserve">,
              <lb/>
              <note position="right" xlink:label="note-0153-01" xlink:href="note-0153-01a" xml:space="preserve">Lem. 1.
                <lb/>
              huius.</note>
            erit F a, ſeu b T ad b a, vt latus tranſuerſum D C ad differentiam eiuſdem
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            tranſuerſi, & </s>
            <s xml:id="echoid-s4610" xml:space="preserve">recti lateris; </s>
            <s xml:id="echoid-s4611" xml:space="preserve">quare parallelogrammũ rectangulum S b, erit exem-
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              <note position="right" xlink:label="note-0153-02" xlink:href="note-0153-02a" xml:space="preserve">Defin. 9.
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              huius.</note>
            plar applicatum ad abſciſſam O C.</s>
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          <figure number="141">
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            <s xml:id="echoid-s4613" xml:space="preserve">Igitur I C maior eſt, quàm I H, & </s>
            <s xml:id="echoid-s4614" xml:space="preserve">I H, quàm I K, &</s>
            <s xml:id="echoid-s4615" xml:space="preserve">c. </s>
            <s xml:id="echoid-s4616" xml:space="preserve">Eo quod abſciſ-
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              <note position="left" xlink:label="note-0153-03" xlink:href="note-0153-03a" xml:space="preserve">d</note>
            ſa O C minor eſt, quàm C P, & </s>
            <s xml:id="echoid-s4617" xml:space="preserve">C P minor, quàm C E: </s>
            <s xml:id="echoid-s4618" xml:space="preserve">ſuntque prædictæ ab-
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            ſciſſæ latera homologa exemplarium, quæ ad eaſdem abſciſſas applicantur; </s>
            <s xml:id="echoid-s4619" xml:space="preserve">at-
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              <note position="right" xlink:label="note-0153-04" xlink:href="note-0153-04a" xml:space="preserve">Defin. 9.
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              huius.</note>
            que prædicta exemplaria ſimilia ſunt inter ſe, cum circa angulos rectos latera
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            habeant eandem proportionem, quàm latus tranſuerſum D C ad differentiam.
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            <s xml:id="echoid-s4620" xml:space="preserve">eiuſdem tranſuerſi, & </s>
            <s xml:id="echoid-s4621" xml:space="preserve">recti lateris; </s>
            <s xml:id="echoid-s4622" xml:space="preserve">quare exceſſus quadrati I C ſupra quadra-
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            tum I H minus eſt exceſſu eiuſdem quadrati I C ſupra quadratum I K; </s>
            <s xml:id="echoid-s4623" xml:space="preserve">& </s>
            <s xml:id="echoid-s4624" xml:space="preserve">ad
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            huc minus exceſſu quadrati I C ſupra quadratum I B, & </s>
            <s xml:id="echoid-s4625" xml:space="preserve">propterea recta I C
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            minori exceſſu ipſam I H ſuperabit, quàm ipſam I K; </s>
            <s xml:id="echoid-s4626" xml:space="preserve">& </s>
            <s xml:id="echoid-s4627" xml:space="preserve">adhuc minori exceſ-
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            ſu ſuperabit I K, quàm excedat I B; </s>
            <s xml:id="echoid-s4628" xml:space="preserve">& </s>
            <s xml:id="echoid-s4629" xml:space="preserve">ideo I C maior erit, quàm I H, & </s>
            <s xml:id="echoid-s4630" xml:space="preserve">I
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            H maior, quàm I K, & </s>
            <s xml:id="echoid-s4631" xml:space="preserve">I K maior, quàm I B.</s>
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