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="letter" level="4" n="1">
                <pb o="235" rhead="EPISTOLAE." n="247" file="0247" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0247"/>
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                  <s xml:id="echoid-s2935" xml:space="preserve">Quo ſupputato, ſumpſi inſtrumenta, & ad experimentum me paraui, & vltima
                    <lb/>
                  nocte menſis Auguſti anni .1565. reperi Martem eſſe in dicto gradu geminorum vt
                    <lb/>
                  ſcribebat Stadius. </s>
                  <s xml:id="echoid-s2936" xml:space="preserve">Deinde ſingulis ebdomadibus obſeruans retrogradationem; </s>
                  <s xml:id="echoid-s2937" xml:space="preserve">vidi
                    <lb/>
                  circa finem Octobris quod retrogradi incipiebat, & ea retrogradatio perſeuerauit
                    <lb/>
                  vſque ad medium menſem Ianuarium, aut circiter, anni .1566. obſeruaui poſtea
                    <lb/>
                  etiam ſitum eiuſdem planetæ die .11. </s>
                  <s xml:id="echoid-s2938" xml:space="preserve">Aprilis ſequentis
                    <reg norm="eumque" type="simple">eumq́;</reg>
                    <unsure/>
                  inueni in gradu .16.
                    <lb/>
                  Cancri, vti eum poſuerat Stadius. </s>
                  <s xml:id="echoid-s2939" xml:space="preserve">Atque ita experimentum meum conuenit cum
                    <lb/>
                  calculo Stadij,
                    <reg norm="comperique" type="simple">comperiq́;</reg>
                  eum non erraſſe: </s>
                  <s xml:id="echoid-s2940" xml:space="preserve">Et ſic quiſque binis
                    <reg norm="quibusque" type="simple">quibusq́;</reg>
                  annis pote-
                    <lb/>
                  rit certior fieri de veritate. </s>
                  <s xml:id="echoid-s2941" xml:space="preserve">Si autem delectationis cauſa id experiri volueris, expe-
                    <lb/>
                  ctato primam retrogradationem Martis, cuius initium ſecundum Stadium futurum
                    <lb/>
                  eſt circa diem .20. </s>
                  <s xml:id="echoid-s2942" xml:space="preserve">Nouembris anni .1582. & finis circa diem .10. Februar .1583.
                    <lb/>
                  circa grad .9. Cancri, & animaduerte quando Mars erit circa dictum gra .9. Can-
                    <lb/>
                  cri prius quam retrogradi incipiat, quod erit circa diem .19. Septem .1582. </s>
                  <s xml:id="echoid-s2943" xml:space="preserve">Dein-
                    <lb/>
                  de aſpice quum erit in grad .9. Leonis, quod erit circa diem .7. Mai .1583. & vide-
                    <lb/>
                  bis
                    <reg norm="quod" type="simple">ꝙ</reg>
                  ipſe Mars in his gra .30.
                    <reg norm="morabitur" type="simple">morabit̃</reg>
                    <reg norm="per" type="simple">ꝑ</reg>
                  menſes .7. & dies .18.
                    <reg norm="atque" type="simple">atq;</reg>
                  vt eius rei pericu-
                    <lb/>
                  lum facias, obſerua noctem præcedentem diei .19. </s>
                  <s xml:id="echoid-s2944" xml:space="preserve">Septem .1582. locum
                    <reg norm="longitudinis" type="context">lõgitudinis</reg>
                    <lb/>
                  eius ſtellæ, & idem poſtea obſerua nocte præcedente diei .7. Mai, aut nocte ſequen-
                    <lb/>
                  ti .1583. & inter duos hoſce terminos obſerua aliqua alia nocte ſtatum eius. </s>
                  <s xml:id="echoid-s2945" xml:space="preserve">Mani-
                    <lb/>
                    <reg norm="feſtoque" type="simple">feſtoq́;</reg>
                  videbis Martem conſumere totum dictum tempus in hoc duodecatemorio.
                    <lb/>
                  </s>
                  <s xml:id="echoid-s2946" xml:space="preserve">Et quicunque aliquid intelligit in hac facultate quamuis non viderit Ptolomęi
                    <lb/>
                  Almageſtum, minori labore poſſet per calculos ſcientificos colligere verita-
                    <lb/>
                  tem, ſuppoſitis tamen terminis ſcriptis in theoricis planetarum. </s>
                  <s xml:id="echoid-s2947" xml:space="preserve">Qui enim vidit
                    <lb/>
                  Almageſtum vel reuolutiones orbium cœleſtium Nicolai Copernici, non poteſt de
                    <lb/>
                  hoc vllo pacto dubitare. </s>
                  <s xml:id="echoid-s2948" xml:space="preserve">Sed qui nondum tantopere progreſſus eſt,
                    <reg norm="ſaltem" type="context">ſaltẽ</reg>
                  capiat
                    <reg norm="huius" type="simple">huiꝰ</reg>
                    <lb/>
                  rei notitiam vniuerſalem, hoc modo. </s>
                  <s xml:id="echoid-s2949" xml:space="preserve">Supponat primum eccentricitatem deferen-
                    <lb/>
                  tis epicycli Martis, eſſe .6. partium
                    <reg norm="talium" type="context">taliũ</reg>
                  , quales ſunt ſexageſimæ ſemidiametri ipſius
                    <lb/>
                  deferentis, & ſemidiametrum epicycli eſſe, partium
                    <reg norm="ſupradictarum" type="context">ſupradictarũ</reg>
                  .39. cum dimidia,
                    <lb/>
                  & quod argumenta vera, in temporibus primarum ſtationum ( cum epicyclus eſt in
                    <lb/>
                  auge, aut in eius oppoſito, aut in
                    <reg norm="lungitudinib" type="context">lũgitudinib</reg>
                  . me dio cribus )
                    <reg norm="iam" type="context">iã</reg>
                  ab antiquis rectè ſuppu
                    <lb/>
                  tata ſint, ſicuti ſunt. </s>
                  <s xml:id="echoid-s2950" xml:space="preserve">Et præſupponat motum diurnum centri epicycli. min .31. cum di
                    <lb/>
                  midio, quamuis reuera ſit min .31. & ſecundorum .27. aut circiter, nunc
                    <reg norm="quidem" type="context">quidẽ</reg>
                  præter
                    <lb/>
                  mittens, quod vnus habeat reſpectum ad augem mediam epicycli, & alter ad cen-
                    <lb/>
                  trum æquantis. </s>
                  <s xml:id="echoid-s2951" xml:space="preserve">Atque his præſuppoſitis fingat ( exempli gratia ) quod centrum
                    <lb/>
                  epicycli ſit in quauis longitudinum mediarum, & Mars in prima maxima æqua-
                    <lb/>
                  tione argumenti, ſcilicet in prima linea, quæ attingens epicyclum, à centro mundi
                    <lb/>
                  pergat ad circunferentiam Zodiaci, quæ erit illa linea
                    <reg norm="contingentiæ" type="context">cõtingentiæ</reg>
                  a qua
                    <reg norm="proficiſcens" type="context">proficiſcẽs</reg>
                    <lb/>
                  Mars perget ad lineam primæ ſtationis, vt poſtea retrogradiatur, veluti ſi in infrapo
                    <lb/>
                  ſita figura maiori,
                    <reg norm="centrum" type="context context">cẽtrũ</reg>
                    <reg norm="mundi" type="context">mũdi</reg>
                  eſſet
                    <var>.o.</var>
                  & vnus arcus
                    <reg norm="eccentrici" type="context">eccẽtrici</reg>
                  eſſet
                    <var>.a.b.c.d.</var>
                  & vna ex li
                    <lb/>
                  neis medio cribus longitudinum eſſet
                    <var>.o.c.f.</var>
                  & centrum epicycli
                    <var>.c.</var>
                  qui notabitur per
                    <lb/>
                    <var>a.f.e.g.</var>
                  & lineæ contingentes epicyclum in punctis
                    <var>.i.</var>
                  et
                    <var>.t.</var>
                  ſint notatæ
                    <var>.o.i.</var>
                  et
                    <var>.o.t.</var>
                  & li-
                    <lb/>
                  nea primæ ſtationis
                    <var>.o.n.b.</var>
                  & linea ſecundæ
                    <var>.o.u.d.</var>
                  ſi igitur Mars eſſet in puncto
                    <var>.i.</var>
                  an-
                    <lb/>
                  gulus
                    <var>.i.o.e.</var>
                  maximæ æquationis argumenti eſſet gra .40. minut .55.
                    <reg norm="quanuis" type="context">quãuis</reg>
                  talis maxi
                    <lb/>
                  ma æquatio argumenti in longitudinibus mediocribus Alfonſi ponatur eſſe gra .41.
                    <lb/>
                  minut .10. quod euenit quia calculatores ipſarum tabularum interuallum
                    <var>.o.c.</var>
                  quod
                    <lb/>
                  in eo ſitu epicycli interponitur inter centrum mundi, & centrum dicti epicycli, ac-
                    <lb/>
                  ceperunt partium ſexaginta præcisè, nihili facientes minuta illa .18. aut circiter, quę
                    <lb/>
                  verè ſunt præter dictas partes .60. quandoquid em euenit vt dictum interuallum in </s>
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