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

Table of contents

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[61.] LEMMA VII.
Page: 69 (31)
[62.] SECTIO OCTAVA Continens Prop. IL. L. LI. LII. LIII. Apoll.
Page: 70 (32)
[63.] PROPOSITIO IL. & L.
Page: 71 (33)
[64.] PROPOSITIO LI.
Page: 72 (34)
[65.] PROPOSITIO LII. LIII.
Page: 73 (35)
[66.] PROPOSITIO LIV. LV.
Page: 77 (39)
[67.] PROPOSITIO LVI.
Page: 77 (39)
[68.] PROPOSITIO LVII.
Page: 78 (40)
[69.] Notæ in Propoſit. IL. L.
Page: 78 (40)
[70.] Notæ in Propoſit. LI.
Page: 79 (41)
[71.] Demonſtratio ſecundæ partis. PROPOSITIONIS LI.
Page: 81 (43)
[72.] Notæ in Propoſ. LII. LIII.
Page: 83 (45)
[73.] Secunda pars buius propoſitionis, quam Apollonius non expoſuit hac ratione ſuppleri poteſt.
Page: 87 (49)
[74.] Notæ in Propoſ. LIV. LV.
Page: 92 (54)
[75.] Notæ in Propoſit. LVI.
Page: 93 (55)
[76.] LEMMA VIII.
Page: 95 (57)
[77.] Notæ in Propoſ. LVII.
Page: 96 (58)
[78.] SECTIO NONA Continens Propoſ. LVIII. LIX. LX. LXI. LXII. & LXIII.
Page: 98 (60)
[79.] PROPOSITIO LVIII.
Page: 98 (60)
[80.] PROPOSITIO LIX. LXII. & LXIII.
Page: 98 (60)
[81.] PROPOSITIO LX.
Page: 100 (62)
[82.] PROPOSITIO LXI.
Page: 100 (62)
[83.] Notæ in Propoſit. LVIII.
Page: 101 (63)
[84.] Notæ in Propoſit. LIX. LXII. & LXIII.
Page: 102 (64)
[85.] Notæ in Propoſit. LX.
Page: 103 (65)
[86.] Notæ in Propoſit. LXI.
Page: 103 (65)
[87.] SECTIO DECIMA Continens Propof. XXXXIV. XXXXV. Apollonij.
Page: 105 (67)
[88.] PROPOSITIO XXXXIV.
Page: 105 (67)
[89.] PROPOSITIO XXXXV.
Page: 106 (68)
[90.] Notæ in Propoſ. XXXXIV.
Page: 106 (68)
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          <head xml:id="echoid-head43" xml:space="preserve">IX.</head>
          <p>
            <s xml:id="echoid-s748" xml:space="preserve">In quolibet rectangulo applicato ad ſegmentum axis, ſi illud
              <lb/>
            ſegmentum ad latitudinem illius rectanguli eandem proportio-
              <lb/>
            nem habuerit, quam axis ad latitudinem figurę comparatæ vocabo
              <lb/>
            illud, EXEMPLAR.</s>
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        <div xml:id="echoid-div24" type="section" level="1" n="22">
          <head xml:id="echoid-head44" xml:space="preserve">X.</head>
          <p>
            <s xml:id="echoid-s750" xml:space="preserve">Si ex puncto ſuper axim educatur perpendicularis ad vtraſque
              <lb/>
            partes ſectionis, & </s>
            <s xml:id="echoid-s751" xml:space="preserve">ex puncto aliquo illius perpendicularis educan-
              <lb/>
            tur lineæ terminatæ ad ſectionem ex vtraque parte, vocabo pun-
              <lb/>
            ctum illud in perpendiculari ſumptum, CONCVRSVM.</s>
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        <div xml:id="echoid-div25" type="section" level="1" n="23">
          <head xml:id="echoid-head45" xml:space="preserve">XI.</head>
          <p>
            <s xml:id="echoid-s753" xml:space="preserve">Et lineas etiam, RAMOS.</s>
            <s xml:id="echoid-s754" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div26" type="section" level="1" n="24">
          <head xml:id="echoid-head46" xml:space="preserve">XII.</head>
          <p>
            <s xml:id="echoid-s755" xml:space="preserve">Et qui ſecant menſuram, & </s>
            <s xml:id="echoid-s756" xml:space="preserve">terminantur ad ſectionem ex altera
              <lb/>
            parte concurſus, RAMOS SECANTES.</s>
            <s xml:id="echoid-s757" xml:space="preserve"/>
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          <head xml:id="echoid-head47" xml:space="preserve">XIII.</head>
          <p>
            <s xml:id="echoid-s758" xml:space="preserve">At qui non ſecat illam, & </s>
            <s xml:id="echoid-s759" xml:space="preserve">tranſit per concurſum, & </s>
            <s xml:id="echoid-s760" xml:space="preserve">terminatur
              <lb/>
            ad axim, & </s>
            <s xml:id="echoid-s761" xml:space="preserve">ſectionem ſimul, RAMVM TERMINATVM.</s>
            <s xml:id="echoid-s762" xml:space="preserve"/>
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          <head xml:id="echoid-head48" xml:space="preserve">XIV.</head>
          <p>
            <s xml:id="echoid-s763" xml:space="preserve">Sed cuiuſcumque rami ſecantis, cuius portio interſectionem, & </s>
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              <lb/>
            axim intercepta eſt linea breuiſſima, vocabo illum, BREVISE-
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            CANTEM.</s>
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          <head xml:id="echoid-head49" xml:space="preserve">XV.</head>
          <p>
            <s xml:id="echoid-s766" xml:space="preserve">Et vocabo ſegmentum axis inter perpendicularem, & </s>
            <s xml:id="echoid-s767" xml:space="preserve">verticem
              <lb/>
            ſectionis proximior em interceptum, MENSVRAM, quoque.</s>
            <s xml:id="echoid-s768" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div30" type="section" level="1" n="28">
          <head xml:id="echoid-head50" xml:space="preserve">XIV.</head>
          <p>
            <s xml:id="echoid-s769" xml:space="preserve">Et portionem ſectionis conicæ diſſectam ab ordinatione axis
              <lb/>
            tranſeuntis per originem, ſiuè per coneurſum propè verticem pro-
              <lb/>
            ximiorem ſectionis, vocabo, SEGMENTVM illius puncti.</s>
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