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]

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                <p>
                  <s xml:id="echoid-s2863" xml:space="preserve">
                    <pb o="232" rhead="IO. BAPT. BENED." n="244" file="0244" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0244"/>
                  iunctionem cum Saturno, vt rurſus aſſequatur Saturnum, tranſeundum ei erit
                    <reg norm="per" type="simple">ꝑ</reg>
                  gra
                    <num value="242">.
                      <lb/>
                    242.</num>
                  min .58. iter confectum à Saturno toto tempore annorum .19. & dierum .314.
                    <lb/>
                  ad rationem graduum .360. diebus .10740. (poſſumus
                    <reg norm="etiam" type="context">etiã</reg>
                  dicere gra .243. quia præ
                    <lb/>
                  termiſimus quaſdam exiguas particulas periodorum perfectorum cuiuſque planetę
                    <lb/>
                  in ſuperioribus ſupputationibus.) </s>
                  <s xml:id="echoid-s2864" xml:space="preserve">Illos verò gradus .43. Iupiter conſiciet diebus
                    <num value="2921">.
                      <lb/>
                    2921.</num>
                  ad rationem graduum .360. diebus .4328. </s>
                  <s xml:id="echoid-s2865" xml:space="preserve">
                    <reg norm="Atque" type="simple">Atq;</reg>
                  ita vt diximus, ab vna coniun-
                    <lb/>
                  ctione ad aliam intererunt anni .19. </s>
                  <s xml:id="echoid-s2866" xml:space="preserve">Aegiptij cum diebus .314. vel circa.</s>
                </p>
                <p>
                  <s xml:id="echoid-s2867" xml:space="preserve">Nunc autem vt videatur an tabulæ Alfonſi conueniant cum hoc
                    <reg norm="numero" type="wordlist">nr̃o</reg>
                  calculo,
                    <reg norm="con- ſiderabimus" type="context">cõ-
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                    ſiderabimus</reg>
                  ,
                    <reg norm="quod" type="simple">ꝙ</reg>
                  Era (vt vocant) dicti temporis annorum .19. cum diebus .314. eſt dua-
                    <lb/>
                  rum tertiarum ſexagenarum, ſecundæ nullius, & 53.
                    <reg norm="primarum" type="context">primarũ</reg>
                  ſiue dierum. </s>
                  <s xml:id="echoid-s2868" xml:space="preserve">Et per
                    <reg norm="hanc" type="context">hãc</reg>
                    <lb/>
                  Eram colligendo motum mediocrem, tum Saturni, tum Iouis, omiſſis radicibus, & in
                    <lb/>
                  cipiendo ab Ariete, comperiemus
                    <reg norm="quod" type="simple">ꝙ</reg>
                    <reg norm="vtriuſque" type="simple">vtriuſq;</reg>
                  planetæ lineæ eiuſmodi motus tranſi
                    <lb/>
                  bunt per min .56. tertij gradus Sagittarij, ideſt coniunctæ erunt.</s>
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                <p>
                  <s xml:id="echoid-s2869" xml:space="preserve">In fine poſtea ſecundæ periodi, cuius era erit .4. tertiarum, ſecundæ .1. et .47. pri-
                    <lb/>
                  marum ſexagenarum, locus mediocris
                    <reg norm="vtriuſque" type="simple">vtriuſq;</reg>
                  erit in min .56. gra. ſexti Leonis. </s>
                  <s xml:id="echoid-s2870" xml:space="preserve">In
                    <lb/>
                  fine verò tertiæ periodi, cuius era erit .6. tertiarum .2. ſecundarum, et .41. primæ, lo-
                    <lb/>
                  cus eorum mediocris inuenietur in .56. minuto gradus .9. Arietis. </s>
                  <s xml:id="echoid-s2871" xml:space="preserve">
                    <reg norm="Atque" type="simple">Atq;</reg>
                  ita deinceps
                    <lb/>
                  in fine
                    <reg norm="cuiusque" type="simple">cuiusq́;</reg>
                  periodi, locus
                    <reg norm="eorum" type="context">eorũ</reg>
                  mediocris coniunctim ſemper diſtabit à loco me
                    <lb/>
                  diocri præcedentis coniunctionis gradibus .117. ideſt in trigono antecedenti, minus
                    <lb/>
                  gra .3. </s>
                  <s xml:id="echoid-s2872" xml:space="preserve">Vnde apparet has coniunctiones procedere in contrariam partem reſpectu or
                    <lb/>
                  dinis
                    <reg norm="ſignorum" type="context">ſignorũ</reg>
                  Zodiaci, ſed reſpectu ordinis graduum
                    <reg norm="ſignorum" type="context">ſignorũ</reg>
                  , ſemper
                    <reg norm="progrediuntur" type="simple">progrediunt̃</reg>
                  or
                    <lb/>
                  dine per ternos gradus nunquam retrogradientes. </s>
                  <s xml:id="echoid-s2873" xml:space="preserve">Hinc ſe quitur, vt non duodecies
                    <lb/>
                  in omni triplicitate coniungantur hi duo planetę, vt antiqui putauerunt, ſed decies
                    <lb/>
                  tantum. </s>
                  <s xml:id="echoid-s2874" xml:space="preserve">& ad ſummum ter in ſingulo ſigno, ſpatio annorum .198. & dierum .220. aut
                    <lb/>
                  circiter, non autem .240. nec .242. </s>
                  <s xml:id="echoid-s2875" xml:space="preserve">Atque decem vices comprehendunt gra .27. &
                    <lb/>
                  vltima vice inueniuntur in ſigno ſequenti alterius triplicitatis. </s>
                  <s xml:id="echoid-s2876" xml:space="preserve">Exempli gratia, po-
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                  namus
                    <reg norm="quod" type="simple">ꝙ</reg>
                  prima vice
                    <reg norm="coniungantur" type="context simple">cõiungant̃</reg>
                  in gra .2. Arietis, ſecunda coniunctio erit in .5. </s>
                  <s xml:id="echoid-s2877" xml:space="preserve">Sagit-
                    <lb/>
                  tarij, tertia. in .8. Leonis. quarta in .11. Arietis, quinta in .14. Sagit .6. in .17. Leonis.
                    <lb/>
                  ſeptima in .20. Arietis, octaua in .23. Sagittarij, nona in .26. Leonis, decima in .29.
                    <lb/>
                  Arietis, et vndecima erit in gra .2. Capricorni ſigni
                    <reg norm="ſequentis" type="context">ſequẽtis</reg>
                  triplicitatis. </s>
                  <s xml:id="echoid-s2878" xml:space="preserve">Decem igi­
                    <lb/>
                  tur interualla ſingula annorum .19. & dierum .314. faciunt annos .198. & dies .220.
                    <lb/>
                  Immo pertabulas Alfonſi, eiuſmodi periodus non modo non reperitur
                    <reg norm="annorum" type="context">annorũ</reg>
                  .242
                    <lb/>
                  nec .240. vt antiqui credidere, ſed tribus diebus minor annis .198. & diebus .220. id-
                    <lb/>
                  eſt per dictas tabulas inuenitur eſſe annorum .198. & dierum .217. tantum, qui nume
                    <lb/>
                  rus multiplicatus per .4. triplicitates, efficiet periodum maiorem, quæ erit annorum
                    <lb/>
                  794. & dierum .138. quo tempore dicti planetæ redeunt ad eundem locum vbi pri-
                    <lb/>
                  mum ſe coniunxere.</s>
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                <p>
                  <s xml:id="echoid-s2879" xml:space="preserve">Vt exempli gratia, locus mediocris Saturni & Iouis in fine annorum .198. dierum
                    <lb/>
                  217. reperitur in gradu .30. Sagittarij. </s>
                  <s xml:id="echoid-s2880" xml:space="preserve">Si quæſiuerimus hunc locum per
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                  annorum .794. & dierum .138. cum annis .198. & diebus .217. quorum ſumma eſt
                    <num value="992">.
                      <lb/>
                    992.</num>
                  & dies .355. inuenietur locus mediocris ipſorum
                    <reg norm="planetarum" type="context">planetarũ</reg>
                  in dicto vltimo gra
                    <lb/>
                  du Sagittarij. </s>
                  <s xml:id="echoid-s2881" xml:space="preserve">Sed ſi quęſiuerimus eorum locum mediocrem per aggregatum anno
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                  rum .198. & dierum .217. cum annis .960. quod erit ſumma annorum .1158. &
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                  217. reperiemus Iouem in gradu .18. </s>
                  <s xml:id="echoid-s2882" xml:space="preserve">Sagittarij & Saturnum in .16. Leonis diſtanti-
                    <lb/>
                  bus inter ſe duabus eorum lineis motuum mediocrium gra. circiter .122. </s>
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                    <reg norm="Atque" type="simple">Atq;</reg>
                  Iupi-
                    <lb/>
                  ter præcedet, & oportebit
                    <reg norm="quod" type="simple">ꝙ</reg>
                  coniunctio eorum mediocris fuerit multis annis ante
                    <lb/>
                  omittendo (vt dixi) radices, quia ſatis eſt inuenire interuallum inter lineas eorum me
                    <lb/>
                  diorum motuum.</s>
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