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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            <div xml:id="echoid-div495" type="section" level="3" n="5">
              <div xml:id="echoid-div495" type="letter" level="4" n="1">
                <p>
                  <s xml:id="echoid-s2823" xml:space="preserve">
                    <pb o="230" rhead="IO. BAPT. BENED." n="242" file="0242" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0242"/>
                  periodis apparentibus, aut veris, ſed de mediocribus aut æqualibus, & quidem re-
                    <lb/>
                  ctè dicunt, quia lineæ eorum mediorum motuum non coeunt in aliquo ſigno alte-
                    <lb/>
                  rius triplicitatis, prius quam pertranſiuerint omnia ſigna illius, in qua incęperunt.
                    <lb/>
                  </s>
                  <s xml:id="echoid-s2824" xml:space="preserve">
                    <reg norm="Itaque" type="simple">Itaq;</reg>
                  nullum inconueniens ſequitur, ſi in veris
                    <reg norm="coniunctionibus" type="context">cõiunctionibus</reg>
                  non reperitur hæc re-
                    <lb/>
                  gula. </s>
                  <s xml:id="echoid-s2825" xml:space="preserve">Fieri enim poteſt, vt lineæ mediorum motuum coniungantur in vno ſigno, cor
                    <lb/>
                  pora verò eorum planetarum coeant in alio, cum rarò eueniat, vt linea medij mo-
                    <lb/>
                  tus, eadem ſit cum linea veri.</s>
                </p>
                <p>
                  <s xml:id="echoid-s2826" xml:space="preserve">Nunc quidem
                    <reg norm="tamen" type="wordlist">tamẽ</reg>
                  non affirmauerim, nec ne gauerim eorum coniunctionem an
                    <lb/>
                  ni .1563. fuiſſe potius in Cancro, quam in Leone. </s>
                  <s xml:id="echoid-s2827" xml:space="preserve">Sed tantum dicam
                    <reg norm="vanum" type="context">vanũ</reg>
                  eſſe cre
                    <lb/>
                  dere id eueniſſe propter ſimilem naturam, aut qualitatem ſignorum. </s>
                  <s xml:id="echoid-s2828" xml:space="preserve">Hunc enim
                    <lb/>
                  reſpectum non habent illi planetæ in verisſuis coniunctionibus. </s>
                  <s xml:id="echoid-s2829" xml:space="preserve">Exempli autem
                    <lb/>
                  cauſa ponamus, quod rectè ſupputatæ fuerint coniunctiones annorum .1484. 1504.
                    <lb/>
                  & 1524. quod attinet ad differentiam duodecatemorij, ſcilicet prima in .24. gradu
                    <lb/>
                  Scorpij, ſecunda in .20. Cancri, tertia in .10. Piſcium. </s>
                  <s xml:id="echoid-s2830" xml:space="preserve">Cum ſecunda anticipauerit
                    <lb/>
                  trigonum perfectum cum prima, gradibus .4. & tertia anticipauerit trigonum perfe-
                    <lb/>
                  ctum
                    <reg norm="cum" type="context">cũ</reg>
                  ſecunda gradibus .10. ſi forte prima vt facta fuit in .24. gradu Scorpij facta
                    <lb/>
                  fuiſſet in .2. gradu eiuſdem,
                    <reg norm="planum" type="context">planũ</reg>
                  eſt
                    <reg norm="quod" type="simple">ꝙ</reg>
                    <reg norm="ſecunda" type="context">ſecũda</reg>
                  facta fuiſſet in .28. gradu geminorum
                    <lb/>
                  & tertia in .18. Aquarij, quæ ſigna ſunt diuerſæ triplicitatis ab illa Cancri. </s>
                  <s xml:id="echoid-s2831" xml:space="preserve">Inſuper
                    <lb/>
                  ſi coniunctio anni .1544. quæ fuit in .28. gradu Scorpij fuerit recta
                    <reg norm="correſpondens" type="context">correſpondẽs</reg>
                    <reg norm="prae­ cedenti" type="simple">prę­
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                    cedenti</reg>
                  , anni .1524. per gra .18. ſine dubio ſi coniunctio anni .1524. facta fuiſſet in
                    <lb/>
                  18. gradu Aquarij, illa anni .1544. fuiſſet in .6. Scorpij ſigni alterius triplicitatis
                    <reg norm="quam" type="context">quã</reg>
                    <lb/>
                  ſint Gemini. </s>
                  <s xml:id="echoid-s2832" xml:space="preserve">Præterea, vt anno .1544.
                    <reg norm="coniunctio" type="context">cõiunctio</reg>
                  facta eſt in .28. gra. Scorpij, & 1563
                    <lb/>
                  in .29. Cancri, ponendo eas eſſe rectas, quod attinet ad ſuperandum trigonum vno
                    <lb/>
                  gradu, ſi anno .1544. facta fuiſſet in .30. Scorpij, anno .1563. proculdubio facta fuiſ-
                    <lb/>
                  ſet in primo gradu Leonis. </s>
                  <s xml:id="echoid-s2833" xml:space="preserve">Et ſuppoſitis ijs interuallis, quæ ſuperſunt, aut deſunt per
                    <lb/>
                  fectis trigonis, ſi coniunctio anni .1524. fuiſſet in .20. gradu Piſcium, anno .1544.
                    <lb/>
                  fuiſſet in .8. Sagittarij. </s>
                  <s xml:id="echoid-s2834" xml:space="preserve">Quæ quidem omnia aduerſantur opinioni huius ſcriptoris.</s>
                </p>
                <p>
                  <s xml:id="echoid-s2835" xml:space="preserve">Quodautem opinatur coniunctionem anni .1583. fore in Ariete, ſic dicens pagi
                    <lb/>
                  na ſecunda.</s>
                </p>
                <quote>
                  <s xml:id="echoid-s2836" xml:space="preserve">Non erit ab re ſi & eandem Saturni, & Iouis coniunctionem in primo igneæ tri-
                    <lb/>
                  plicitatis ſigno, quod eſt Aries futuram afferamus anno .1583. ſi ab accidentibus no
                    <lb/>
                  bis licet, vt ab omnibus paſſim conceditur, planetarum loca diſcernere.</s>
                </quote>
                <p>
                  <s xml:id="echoid-s2837" xml:space="preserve">In eo fallitur,
                    <reg norm="nam" type="context">nã</reg>
                    <reg norm="neque" type="simple">neq;</reg>
                  Saturnus,
                    <reg norm="neque" type="simple">neq;</reg>
                  Iupiter,
                    <reg norm="errant" type="context">errãt</reg>
                  à vero per .9: nec .8. gra. ac ne
                    <reg norm="per" type="simple">ꝑ</reg>
                    <lb/>
                  4.
                    <reg norm="quidem" type="context">quidẽ</reg>
                  in
                    <reg norm="qui" type="simple">ꝗ</reg>
                  buſuis Ephemeridibus aut tabulis. </s>
                  <s xml:id="echoid-s2838" xml:space="preserve">
                    <reg norm="Itaque" type="simple">Itaq;</reg>
                  videbit eiuſmodi
                    <reg norm="coniunctionem" type="context context">cõiunctionẽ</reg>
                    <lb/>
                  contra
                    <reg norm="ſententiam" type="context">ſententiã</reg>
                    <reg norm="ſuam" type="context">ſuã</reg>
                  fieri in Piſcibus,
                    <reg norm="non" type="context">nõ</reg>
                    <reg norm="autem" type="wordlist">aũt</reg>
                  in Ariete. (vt poſtea res ipſa nos docuit
                    <lb/>
                  ſub
                    <reg norm="menſe" type="context">mẽſe</reg>
                  Aprili. poſt
                    <reg norm="quidem" type="simple context">ꝗdẽ</reg>
                    <reg norm="ſcriptam" type="context">ſcriptã</reg>
                    <reg norm="hanc" type="context">hãc</reg>
                    <reg norm="epiſtolam" type="context">epiſtolã</reg>
                  ,
                    <reg norm="vulgarique" type="simple">vulgariq́;</reg>
                  ſermone
                    <reg norm="tranſmiſsam" type="context context">trãſmiſsã</reg>
                  , ſed
                    <reg norm="an- tequam" type="context">an-
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                    tequã</reg>
                  in
                    <reg norm="latinum" type="context">latinũ</reg>
                    <reg norm="tranſlata" type="context">trãſlata</reg>
                  , & huic volumini inſerta
                    <reg norm="cum" type="context">cũ</reg>
                  alijs Typographo
                    <reg norm="committeretur" type="context">cõmitteretur</reg>
                  .)</s>
                </p>
                <p>
                  <s xml:id="echoid-s2839" xml:space="preserve">Vbi poſtea meminit magnæ periodi annorum .960. non tantum ei cogitandum
                    <lb/>
                  erat
                    <reg norm="hanc" type="context">hãc</reg>
                  fuiſſe opinionem
                    <reg norm="antiquorum" type="context">antiquorũ</reg>
                  , vt videri
                    <reg norm="pont" type="context">põt</reg>
                  apud
                    <reg norm="Albumaſarem" type="context">Albumaſarẽ</reg>
                  &
                    <reg norm="Alchibicium" type="context">Alchibiciũ</reg>
                  ,
                    <lb/>
                  ſed etiam perpendendum an eſſet vera,
                    <reg norm="priuſquam" type="context">priuſquã</reg>
                  ei adhæreret. </s>
                  <s xml:id="echoid-s2840" xml:space="preserve">Hic enim fuit vnus
                    <lb/>
                  ex erroribus illius ætatis, quæ nondum penetrauerat intima huius ſcientiæ. </s>
                  <s xml:id="echoid-s2841" xml:space="preserve">Sunt
                    <lb/>
                  tamen illi antiqui excuſatione aliqua digni. </s>
                  <s xml:id="echoid-s2842" xml:space="preserve">Ponebant enim vigeſimo quoque an-
                    <lb/>
                  no præcisè fieri mediam coniunctionem Saturni
                    <reg norm="cum" type="context">cũ</reg>
                  Ioue, & in quolibet ſigno eiuſ-
                    <lb/>
                  dem triplicitatis
                    <reg norm="coniungi" type="context">cõiungi</reg>
                  quater. </s>
                  <s xml:id="echoid-s2843" xml:space="preserve">Itaque in qualibet triplicitate dicebant eos coire
                    <lb/>
                  duodecies.</s>
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