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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[2.9.] CAP. IX.
[2.10.] CAP.X.
[2.11.] CAP. XI. ALITER IDEM.
[2.12.] JACOBO SOLDATO MEDIOLANENSI Serenißimi Ducis Sabaudiæ Architecto peritißimo. CAP. VII.
[2.13.] AD EVNDEM IACOBVM. CAP. XIII.
[2.14.] CAP. XIIII.
[2.15.] CAP. XV.
[3.] DE MECHANICIS.
[3.1.] De differentia ſitus brachiorum libra. CAP.I.
[3.2.] De proportione ponderis extremitatis brachij libr & in diuerſo ſitu ab orizontali. CAP. II.
[3.3.] Quòd quantit as cuiuſlibet ponderis, aut uirtus mouens re-ſpectu alterius quantitatis cognoſcatur beneficio perpendicularium ductarum à centro libr & ad line am inclinationis. CAP. III.
[3.4.] Quemadmodum exſupradictis cauſis omnes staterarum & uectium cauſæ dependeant. CAP. IIII.
[3.5.] De quibuſdam rebus animaduerſione dignis. CAP.V.
[3.6.] De ratione cuiuſdam uis adauctæ. CAP. VI.
[3.7.] De quibuſdam erroribus Nicolai Tartaleæ circa pondera corporum & eorum motus, quorum aliqui deſumpti fuerunt à fordano ſcriptore quodam antiquo. CAP. VII.
[3.8.] CAP. VIII.
[3.9.] Quòdſummaratione ſtateræper æqualia interualla ſint diuiſæ. CAP. IX.
[3.10.] Quòd line a circularis non habe at concauum cum con-uexo coniunctum, & quod Aristo. cir caproportio nes motuum aberrauerit. CAP.X.
[3.11.] Quod Aristo. in prima mechanicarum quæstionum eius quod inquir it, uer am cauſam non attulerit. CAP. XI.
[3.12.] De uer a cauſa ſecundæ, & tertiæ quæstionis mechanicæ ab Ariſtotele nonperſpecta. CAP. XII.
[3.13.] Quòd Ariſtotelisratio in 6. quæſtione poſit a non ſit admittenda. CAP. XIII.
[3.14.] Quòdrationes ab Ariſtotele de octaua quæstione confictæ ſufficient es non ſint. CAP. XIIII.
[3.15.] Quod Aristotelis ratio none queſtionis admittendanon ſit. CAP. XV.
[3.16.] Quod Aristotelis rationes de decima queſtione ſint reijciende. CAP. XVI.
[3.17.] De uer a cauſa .12. questionis mechanice. CAP. XVII.
[3.18.] De decimatertia questione. CAP. XVIII.
[3.19.] De decimaquart a queſtione. CAP. XIX.
[3.20.] De uer a r atione .17. queſtionis. CAP. XX.
[3.21.] De uera & intrinſeca cauſa trocble arum. CAP. XXI.
[3.22.] Depropria cauſa .24. quæſtionis. CAP. XXII.
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              <head xml:id="echoid-head189" style="it" xml:space="preserve">JACOBO SOLDATO MEDIOLANENSI
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              Serenißimi Ducis Sabaudiæ Architecto peritißimo.</head>
              <head xml:id="echoid-head190" xml:space="preserve">CAP. VII.</head>
              <p>
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                  <emph style="sc">SVperioribvs</emph>
                diebus non diu poſtquam de perſpectiuis inter nos ſermonem
                  <lb/>
                habuimus, dum animus totus adhuc in his eſſet. </s>
                <s xml:id="echoid-s1608" xml:space="preserve">Illud in mentem venit quòd exi
                  <lb/>
                mius ille vir, & profundiſſimæ doctrinæ, nec vnquam ſatis laudatus Daniel Barba-
                  <lb/>
                rus ſe accepiſſe profitetur à Ioanne Zamberto patritio Veneto, qui ad verbum om
                  <lb/>
                nia deſumpſerat a Ioanne Cuſino Pariſienſe. </s>
                <s xml:id="echoid-s1609" xml:space="preserve">Nec parum mirabar peritiſſimum il-
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                lum Cuſinum, quod in capite quarto ſecundæ partis perſpectiuæ, vt quodpiam pla-
                  <lb/>
                num quadrilaterum in quadratam figuram redigeret, ſuper vnam datam
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                qua-
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                dratam compoſuiſſe. </s>
                <s xml:id="echoid-s1610" xml:space="preserve">Non animaduertens diſtantiam aut interuallum
                  <var>.b.c.</var>
                degra-
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                datum ín linea
                  <var>.b.f.</var>
                (quod eſt
                  <var>.b.E.</var>
                ) ita eſſe poſſe latus parallelogrammi rectanguli
                  <lb/>
                magis longi quam lati, aut magis lati quam longi, vt etiam latus quadrati, quod be-
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                neficio ſubſcriptæ hic figuræ facilè depræhendi poteſt. </s>
                <s xml:id="echoid-s1611" xml:space="preserve">Vbi
                  <var>.b.c.</var>
                latitudo eſſe po-
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                teſt, tam perfecti degradati in triangulo
                  <var>.b.n.m.</var>
                aut in triangulo
                  <var>.b.q.t.</var>
                quam in trian
                  <lb/>
                gulo
                  <var>.b.a.c</var>
                . </s>
                <s xml:id="echoid-s1612" xml:space="preserve">Sed perfectum degradati in triangulo
                  <var>.b.n.m.</var>
                magis longum quam
                  <reg norm="latum" type="context">latũ</reg>
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                & perfectum degradatum in triangulo
                  <var>.b.q.t.</var>
                magis latum quam longum, & perfe-
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                ctum degradati in triangulo
                  <var>.b.a.c.</var>
                quadratum erit quemadmodum à meis etiam fi-
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                guris
                  <var>.A.</var>
                ſcientificè intelligi poteſt. </s>
                <s xml:id="echoid-s1613" xml:space="preserve">Hinc, ad inueniendum perfectum alicuius pla-
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                ni degradati, non ſufficere degradationem ſolum interualli inter duos terminos
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                ſolos, ideſt
                  <var>.b.E.</var>
                aſſignare, apertè patet, quia non omnia parallelogramma. perfecta
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                ab vno
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                interuallo producuntur, eo
                  <reg norm="quod" type="simple">ꝙ</reg>
                non ſunt omnia quadrata. </s>
                <s xml:id="echoid-s1614" xml:space="preserve">Ad
                  <reg norm="inquirendum" type="context">inquirendũ</reg>
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                igitur perfectum alicuius plani
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                , alicuius propoſiti degradati, oportet
                  <lb/>
                vniuerſam degradationem tam latitudinis,
                  <reg norm="quam" type="simple">ꝗ̃</reg>
                longitudinis, &
                  <reg norm="non" type="context">nõ</reg>
                folius longitudinis
                  <lb/>
                aſſignare; </s>
                <s xml:id="echoid-s1615" xml:space="preserve">Vt
                  <reg norm="exempli" type="context">exẽpli</reg>
                gratia, in ſubſcripta hic figura,
                  <reg norm="volendo" type="context">volẽdo</reg>
                inuenire perfectum paral
                  <lb/>
                lelogrammum degradati
                  <var>.b.h.l.m.</var>
                dando diſtantiam orizontalem
                  <var>.b.d.</var>
                à pede
                  <var>.d.</var>
                ho-
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