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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[201.] COROLLARIVM I.
[202.] COROLLARIVM II.
[203.] Notæ in Propoſit. XI.
[204.] Notæ in Propoſit. XII.
[205.] Notæ in Propoſit. XIII.
[206.] Notæ in Propoſit. XIV.
[207.] SECTIO QVINTA Continens ſex Propoſitiones Præmiſſas, PROPOSITIO I. II. III. IV. & V.
[208.] PROPOSITIO Præmiſſa VI.
[209.] Notæ in Propoſit. Præmiſſas I. II. III. IV. & V.
[210.] Notæ in Propoſit. Præmiſſ. VI.
[211.] SECTIO SEXTA Continens Propoſit. XV. XVI. & XVII. PROPOSITIO XV.
[212.] PROPOSITIO XVI.
[213.] PROPOSITIO XVII.
[214.] Notæ in Propoſit. XV.
[215.] MONITVM.
[216.] LEMMA VI.
[217.] LEMMA VII.
[218.] LEMMA VIII.
[219.] Notæ in Propoſit. XVI.
[220.] Notæ in Propoſit. XVII.
[221.] SECTIO SEPTIMA Continens Propoſit. XVIII. & XIX.
[222.] Notæ in Propoſit. XVIII. & XIX.
[223.] SECTIO OCTAVA Continens Propoſit. XX. & XXI. Apollonij. PROPOSITIO XX.
[224.] PROPOSITIO XXI.
[225.] PROPOSITIO XXII.
[226.] PROPOSITIO XXIII.
[227.] PROPOSITIO XXIV.
[228.] Notæ in Propoſit. XX.
[229.] Notæ in Propoſit. XXI.
[230.] Notæ in Propoſit. XXII.
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            H E ad E G; </s>
            <s xml:id="echoid-s10322" xml:space="preserve">igitur proportio quadrati I D ad quadratum N D compo-
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            ſita eſt ex proportione C A ad A H, & </s>
            <s xml:id="echoid-s10323" xml:space="preserve">ex G C ad C A, atque ex C E
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            ad E A, & </s>
            <s xml:id="echoid-s10324" xml:space="preserve">A E ad E C, & </s>
            <s xml:id="echoid-s10325" xml:space="preserve">tandem ex H E ad E G; </s>
            <s xml:id="echoid-s10326" xml:space="preserve">ſed C A ad A H,
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            & </s>
            <s xml:id="echoid-s10327" xml:space="preserve">G C ad C A componunt proportionem C A ad ei æqualem A C: </s>
            <s xml:id="echoid-s10328" xml:space="preserve">ſi-
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            militer C E ad E A, & </s>
            <s xml:id="echoid-s10329" xml:space="preserve">A E ad E C eſt vt E C ad ſe ipſam: </s>
            <s xml:id="echoid-s10330" xml:space="preserve">quare ſi hæ
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            proportiones auſerantur, remanebit E H ad E G, vt quadratum I D ad
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            quadratum N D: </s>
            <s xml:id="echoid-s10331" xml:space="preserve">nempe erit eadem ac proportio figuræ diametri I L.
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            <s xml:id="echoid-s10332" xml:space="preserve">Quod erat oſtendendum.</s>
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            <s xml:id="echoid-s10334" xml:space="preserve">SI in ſectione A B à termino communi A interceptæ, &</s>
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            <s xml:id="echoid-s10336" xml:space="preserve">Addidi par-
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            ticulam vtriuslibet interceptæ vt propoſitio efficiatur vniuerſalis compræhen-
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