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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[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.
[6.] PHYSICA, ET MATHEMATICA RESPONSA. FO. BAPTISTAE BεNεDICTI PATRITII Veneti, Philoſophi Mathematici.
[Item 6.1.]
[Item 6.2.]
[Item 6.3.]
[Item 6.4.]
[Item 6.5.]
[Item 6.6.]
[Item 6.7.]
[Item 6.8.]
[Item 6.9.]
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            <pb n="7" file="0007" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0007"/>
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          <div xml:id="echoid-div4" type="dedication" level="2" n="1">
            <head xml:id="echoid-head13" xml:space="preserve">SERENISSIMO
              <lb/>
            CAROLO EMANVELI
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            Sabaudiæ Duci,
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            <p style="it">
              <s xml:id="echoid-s1" xml:space="preserve">
                <emph style="sc it">AGitvr</emph>
              nonusdecimus annus ex quo litte-
                <lb/>
              ris Serenißimi patris tuæ Celſitudinis, ac-
                <lb/>
              cerſitus ex vrbe Parmenſi in banc me ciui-
                <lb/>
              tatem contuli. </s>
              <s xml:id="echoid-s2" xml:space="preserve">Is aduenientem tam bumanè
                <lb/>
              excepit, tanta deinde liberalitate fuit com-
                <lb/>
              plexus ego vicißim ei deſeruiendi, tam vebe-
                <lb/>
              menti cupiditate fui accenſus, vt ſub eius ditione quodſuper-
                <lb/>
              eßet vitæ agere conſtituerem. </s>
              <s xml:id="echoid-s3" xml:space="preserve">Cuius in me benignitas, mea
                <lb/>
              in illum obſeruantia mirum in modum mutuo vſu, & conſue-
                <lb/>
              tudine eſt adaucta, vt idem Dux me ſecum dum ruſticaretur
                <lb/>
              eße vellet, ſæpè etiam ſecum pernoctare; </s>
              <s xml:id="echoid-s4" xml:space="preserve">quo quidem tempo-
                <lb/>
              re de Matbematicis ſcientijs mecum agebat, in quibus perdi-
                <lb/>
              ſcendis mea opera vtebatur, quæſtiones, Arithmeticam, Geo­
                <lb/>
              metriam, Opticen, Muſicam, aut Astrologiam ſpectantes
                <lb/>
              proponens. </s>
              <s xml:id="echoid-s5" xml:space="preserve">Cui vt quod in me eßet ſatisfacerem, acrius
                <lb/>
              quàm anteainea studia (adquætamen ſemper fui propenſißi-
                <lb/>
              mus) incubui. </s>
              <s xml:id="echoid-s6" xml:space="preserve">
                <reg norm="Illiusque" type="simple">Illiusq́ꝫ</reg>
              imitatione (vt ferècæteri Principum
                <lb/>
              studiaimitantur) non pauci aut præſentes, aut per litter as me
                <lb/>
              de his, atque illis Mathematicis quæstionibus conſuluerunt.
                <lb/>
              </s>
              <s xml:id="echoid-s7" xml:space="preserve">Cùmque ego nunquam laborem amicorum cauſa defugerim,
                <lb/>
              euenit vt post tot annorum curricula, mea ſcrinia ſcrutatus,
                <lb/>
              inuenerim tot abſolutas quæſtiones, vt ex eis corpus mediocre
                <lb/>
              effici poſſe videretur. </s>
              <s xml:id="echoid-s8" xml:space="preserve">Quas, cùm rationibus in epiſtola ſub-
                <lb/>
              ſequenti allatis edere constituiſſem, non ſub cuiuſque alte-
                <lb/>
              rius nomine, & auſpicijs quam tuæ Celſitudinis volui apparere;
                <lb/>
              </s>
              <s xml:id="echoid-s9" xml:space="preserve">tum quòd patri debitum libellum filio reddere par erat, tum </s>
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