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.]
[5.2. None]
[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.]
[6.1. None]
[6.2. None]
[6.3. None]
[6.4. None]
[6.5. None]
[6.6. None]
[6.7. None]
[6.8. None]
[6.9. None]
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            <div xml:id="echoid-div477" type="preface" level="3" n="1">
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                <head xml:id="echoid-head357" xml:space="preserve">DETEMPORVM
                  <lb/>
                EMENDATIONE
                  <lb/>
                IO. BAPTIST AE BENEDICTI
                  <lb/>
                Patritij Veneti, Philoſophi
                  <lb/>
                Mathematici.</head>
                <head xml:id="echoid-head358" style="it" xml:space="preserve">AD SERENISS. CMANVELEM PHILIB.
                  <lb/>
                Allobrogum & ſubalpinarum gentium Ducem
                  <lb/>
                Inuictiβimum.</head>
                <head xml:id="echoid-head359" xml:space="preserve">EPISTOLA.</head>
                <p>
                  <s xml:id="echoid-s2495" xml:space="preserve">
                    <emph style="sc">MIrvm</emph>
                  , Quàm lectione epiſtolæſeu (vt vocant) Breuis
                    <var>.S.D.
                      <lb/>
                    N</var>
                  . </s>
                  <s xml:id="echoid-s2496" xml:space="preserve">Gregorij XIII. Pont. Max. quod ad me nuper tua Celſitu
                    <lb/>
                  do miſit ex Nicea, vt meam de ea re ſententiam proferrem,
                    <lb/>
                  delectatus ſim; </s>
                  <s xml:id="echoid-s2497" xml:space="preserve">ex quo, non tantum recta illius mens ac verè
                    <lb/>
                  ſancta cogitatio, ſed etiam aperta
                    <reg norm="maximaque" type="simple">maximaq́;</reg>
                  , ſi ad exitum per
                    <lb/>
                    <reg norm="ducatur" type="simple">ducat̃</reg>
                  , imo ſummè neceſſaria vniuerſo orbi vtilitas percipi
                    <lb/>
                  poteſt; </s>
                  <s xml:id="echoid-s2498" xml:space="preserve">qua de re memini cum Celſitudine tua aliquando ſer-
                    <lb/>
                  monem habuiſſe. </s>
                  <s xml:id="echoid-s2499" xml:space="preserve">Vidi præterea cum ipſo breui tranſ-
                    <lb/>
                  miſſum compendium Domini Aloiſij Lilij: </s>
                  <s xml:id="echoid-s2500" xml:space="preserve">cuius mihi ſententia perplacet, de corre
                    <lb/>
                  ctione eius diei, qui 134. quoque anno præter, neceſſitatem, gignitur. </s>
                  <s xml:id="echoid-s2501" xml:space="preserve">qui ſanè dies
                    <lb/>
                  perpetuæ retrogradationis ingreſſus Solis in Zodiaci ſigna, cauſa fuit. </s>
                  <s xml:id="echoid-s2502" xml:space="preserve">quod ita per-
                    <lb/>
                  ſpicuè patebit. </s>
                  <s xml:id="echoid-s2503" xml:space="preserve">Cum Numa Pompilius anni curſum correxit
                    <reg norm="emendauitque" type="simple">emendauitq́;</reg>
                  , ea ſanè
                    <lb/>
                  mente id videtur præſtitiſſe, vt principium Ianuarij primi menſis anni, præcisè in ip
                    <lb/>
                  ſo hyemalis ſoltitij puncto collocaretur. </s>
                  <s xml:id="echoid-s2504" xml:space="preserve">quod hac tempeſtate, dictam ob cauſam
                    <lb/>
                  adeò retroceſſit, vt circa vndecimam diem Decembris eſſe reperiatur. </s>
                  <s xml:id="echoid-s2505" xml:space="preserve">quod ſi cen-
                    <lb/>
                  teſimo trigeſimo quarto quoque anno detractus dies vnus fuiſſet, nihil erroris pror-
                    <lb/>
                  ſus accidiſſet. </s>
                  <s xml:id="echoid-s2506" xml:space="preserve">
                    <reg norm="Atque" type="simple">Atq;</reg>
                  dies hic (vt alias Celſit. tuæ ſignificaui) inde generatur, quod quar
                    <lb/>
                  to quoque anno addentes nos ad quarti anni dies .365. diem horarum .24. ob erro-
                    <lb/>
                  rem annuum horarum quinque minutorum .49. ſecundorum ferè .16. (anni æqualis
                    <lb/>
                  ſiue medij) fallimur quarto quoque anno in minutis .42.
                    <reg norm="ſecundis" type="context">ſecũdis</reg>
                  propè .56. amplius
                    <lb/>
                  quàm par ſit minutis ſcilicet .10. ſecundis ferè .44. ſingulis annis; </s>
                  <s xml:id="echoid-s2507" xml:space="preserve">qui numerus .134.
                    <lb/>
                  multiplicatus, diem penè horarum .24. conſtituit; </s>
                  <s xml:id="echoid-s2508" xml:space="preserve">penè inquam, quia minutum
                    <reg norm="vnum" type="context">vnũ</reg>
                    <lb/>
                  deeſſet
                    <reg norm="tantummodo" type="wordlist">tm̃modo</reg>
                  , & ſecunda .44. ſi
                    <reg norm="decem" type="context">decẽ</reg>
                  illa minuta, & .44. ſe cunda annua, exquiſita eſ
                    <lb/>
                  ſent atque perfecta; </s>
                  <s xml:id="echoid-s2509" xml:space="preserve">quæ tamen differentia nullius adeo eſſet momenti, aut certè pe-
                    <lb/>
                  rexigui, vt vix exactis .111086. annis, diem vnum afferret. </s>
                  <s xml:id="echoid-s2510" xml:space="preserve">
                    <reg norm="Itaque" type="simple">Itaq;</reg>
                  planè neceſſaria
                    <lb/>
                  eiuſmodi eſſet emendatio,
                    <reg norm="aptaque" type="simple">aptaq́;</reg>
                  eius ratio à D. </s>
                  <s xml:id="echoid-s2511" xml:space="preserve">Lilio oſtenditur, prout etiam Pe-
                    <lb/>
                  trus Pitatus Veronenſis tradidit, in eo, quem de vera anni quantitate tractatu con-
                    <lb/>
                  ſcripſit, nempe vt tribus primis centeſimis annis, centeſimus quiſque annus commu-
                    <lb/>
                  nis ſit, quartus ſubſequens centeſimus intercalaris: </s>
                  <s xml:id="echoid-s2512" xml:space="preserve">quod ſanè fierineceſſe eſt. </s>
                  <s xml:id="echoid-s2513" xml:space="preserve">Nam </s>
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