Benedetti, Giovanni Battista de, Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]

Table of contents

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[4.38.] An rectè phyloſophiœ penus Ariſtoteles ſenſerit de loco im-pellendo à pyramide. CAP. XXXVIII.
[4.39.] Examinatur quam ualida ſit ratio Aristotelis de inalterabilitate Cœli. CAP. XXXIX.
[5.] IN QVINTVM EVCLIDIS LIBRVM
[Item 5.1.]
[5.1.1.] Horum autem primum est.
[5.1.2.] SECVNDVM.
[5.1.3.] TERTIVM. Quę est εuclidis ſeptima propoſitio.
[5.1.4.] QVARTVM. εuclidis uerò nona propoſitio.
[5.1.5.] QVINTVM. Euclidis uerò octaua propoſitio.
[5.1.6.] SEXTVM. εuclidis uerò decima propoſitio.
[5.1.7.] SEPTIMVM. Euclidis uerò undecima propoſitio.
[5.1.8.] OCTAVVM. εuclidis uerò duodecima propoſitio.
[5.1.9.] NONVM. Euclidis uero tertiadecima propoſitio.
[5.1.10.] DECIMVM.
[5.1.11.] VNDECIMVM.
[5.1.12.] DVODECIMVM.
[Item 5.2.]
[5.2.1.] THEOR.I. II. ET III.
[5.2.2.] THEOREM. IIII.
[5.2.3.] THEOR.V. ET VI.
[5.2.4.] THEOR. VII. VIII. IX.X. XI. XII. XIII.
[5.2.5.] THEOREM. XIIII.
[5.2.6.] THEOR. XV.
[5.2.7.] THEOREM. XVI.
[5.2.8.] THEOR. XVII.
[5.2.9.] THEOREM. XVIII.
[5.2.10.] THEOREM. XIX.
[5.2.11.] THEOREM. XX.
[5.2.12.] THEOREM. XXI.
[5.2.13.] THEOREM. XXII. XXIII.
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                <head xml:id="echoid-head360" xml:space="preserve">DE CIRCVLO
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                AMBIENTE QVADRILATERVM.</head>
                <head xml:id="echoid-head361" xml:space="preserve">AD SERENISS. CAROLVM EMANVELEM
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                Pedemontis Principem.</head>
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                  <s xml:id="echoid-s2656" xml:space="preserve">PRoblema quod à celſitudine tua nobis proponitur non ſolum poſſibile eſt, ſed
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                  facile etiam ad ſoluendum, hoc eſt quod circulus talis inueniatur, qui poſſit cir
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                  cunſcribere, ſeu capere quadrilaterum ex quatuor datis rectis lineis terminatum, vel
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                  ſic, datis quatuor rectis lineis ex quibus quadrilaterum poſſit eftici, tale efficiatur vt
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                  circa ipſum, circulus poſſit circunſcribi.</s>
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                  <s xml:id="echoid-s2657" xml:space="preserve">Sint igitur .4. lineæ propoſitæ
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                  poſſibile ſit quadrilate
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                  rum conſtitui, tale vero conſtituatur, vt aliquis circulus poſſit ipſum circunſcribere.
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                  <s xml:id="echoid-s2658" xml:space="preserve">imaginemur autem hoc factum eſſe, quod quidem quadrilaterum ſit
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                  cuius
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