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-s3078" xml:space="preserve">
                    <pb o="244" rhead="IO. BABPT. BENED." n="256" file="0256" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0256"/>
                  acqu
                    <unsure/>
                  ieſcens, die .11. </s>
                  <s xml:id="echoid-s3079" xml:space="preserve">Auguſti edidit chartam illam impreſſam inuitans ad diſputa-
                    <lb/>
                  tionem quotquot adhęrerent contrariæ ſententiæ, volens ſuſtinere
                    <reg norm="Martem" type="context">Martẽ</reg>
                  non poſ
                    <lb/>
                  ſe commorari in vno ſigno amplius duobus menſibus, ſupponens partem princi-
                    <lb/>
                  piorum ab omnibus admiſſorum, & in fine paginæ exponens modum, quo vtitur ad
                    <lb/>
                  probationem ſuæ intentionis. </s>
                  <s xml:id="echoid-s3080" xml:space="preserve">Puto autem quodſecum ratiocinabatur de Marte,
                    <lb/>
                  vt fecit de Saturno in ſcripto latino, hoc modo. </s>
                  <s xml:id="echoid-s3081" xml:space="preserve">Si Mars in duobus annis ambulat
                    <lb/>
                  per omnia 12. ſigna, neceſſe eſt igitur, vtin menſibus duobus ambulet per vnum ſi-
                    <lb/>
                  gum, cum menſes .2. ſint duo decima pars annorum duorum. </s>
                  <s xml:id="echoid-s3082" xml:space="preserve">Sedibi ſtatim in ipſo
                    <lb/>
                  initio commitcit errorem graduum ferè .7. dicens, quod medius motus Martis inue-
                    <lb/>
                  niebatur ſignorum .4. & gra .17. cum eo tempore dictus medius motus non eſſet reue
                    <lb/>
                  ra plus quam ſign .4. grad .10. mi .36. verum hoc ad ea, quæ ſequuntur exigui eſt mo
                    <lb/>
                  menti. </s>
                  <s xml:id="echoid-s3083" xml:space="preserve">Is poſtea particulatim colligit medium motum Martis ad diem .29. </s>
                  <s xml:id="echoid-s3084" xml:space="preserve">Mai an-
                    <lb/>
                  ni .15 14. quem ait eſſe ſignorum .9. gra .27. min .53. & tamen reuera erat
                    <reg norm="tantum" type="context">tantũ</reg>
                  ſigno
                    <lb/>
                  rum .9. gra .21. mi .29. ſed miſſum faciamus etiam hunc errorem
                    <reg norm="tanquam" type="context">tanquã</reg>
                  à primo pen
                    <lb/>
                  dentem. </s>
                  <s xml:id="echoid-s3085" xml:space="preserve">Cum deinde ibidem ponit centrum epicycli, ſimiliter errat, nam
                    <lb/>
                  centrum epicycli nunquam poni debet vbi eſt linea medij motus, niſi ſit in auge, aut
                    <lb/>
                  in oppoſito aug is eccentrici, quia debebat collocare ipſum centrum
                    <reg norm="tanto" type="context">tãto</reg>
                  poſt linec
                    <unsure/>
                    <reg norm="am" type="context">ã</reg>
                    <lb/>
                  medij motus, quanta erat æquatio centri, quia medium centrum Martistunc erat mi
                    <lb/>
                  nus ſignis ſex, & aux eccentrici eius erat in ſexto minuto grad .16. Leonis. </s>
                  <s xml:id="echoid-s3086" xml:space="preserve">Tamen
                    <lb/>
                  hoc etiam leue eſt. </s>
                  <s xml:id="echoid-s3087" xml:space="preserve">Præſupponamus igitur quod centrum epicycli cſſet in grad .28
                    <lb/>
                  Capricorni, vt ipſe credidit, ideſt gradibus .7. vlterius quam erat reuera. </s>
                  <s xml:id="echoid-s3088" xml:space="preserve">Ait poſtea
                    <lb/>
                  ſe comperiſſe Martem ambulaſſe ſigna .4. & grad .22. eius epicycli, ſed non explicat
                    <lb/>
                  an intelligat de argumento medio, an de vero, quod vocatur æquatum, nam ſi intel
                    <lb/>
                  ligatur de medio, hoc eſſe non poteſt, cum
                    <reg norm="medium" type="context">mediũ</reg>
                  eſſet ſignorum .4. gra .24. mi .35.
                    <lb/>
                  ſed ſi intelligatur de vero, vt iure credendum eſt (alioquin etiam erraſſet) cer-
                    <lb/>
                  tè falſum eſt. </s>
                  <s xml:id="echoid-s3089" xml:space="preserve">
                    <reg norm="Nam" type="context">Nã</reg>
                  , verum, erat ſignorum .4. grad .29. minu .39. </s>
                  <s xml:id="echoid-s3090" xml:space="preserve">Itaque Mars non di-
                    <lb/>
                  ſtabat à linea veri motus epicycli amplius gradibus .30. & minu .21. ipſius epicycli,
                    <lb/>
                  & æquatio argumentiſecundo correcta erat gra .44. minu .2. à quo ſubtracta æquatio
                    <lb/>
                  ne centri, quæ erat gr .5. minu .4. (cum centrum epicycli deberet tanto ſpacio eſſe
                    <lb/>
                  poſt lineam medij motus quantum ſupra dixi) ſupererant gra .38. minu .58. adden-
                    <lb/>
                  di gradibus, & minu. medij motus, qui cum reuera eſſent grad .21. & minu .29. Ca-
                    <lb/>
                  pricorni, perueniebant ad minu .27. grad .1. Piſcium. </s>
                  <s xml:id="echoid-s3091" xml:space="preserve">Sed præſuppoſito
                    <reg norm="ſecundum" type="context">ſecundũ</reg>
                    <lb/>
                  ipſum, quod medius motus eſſet grad .28. </s>
                  <s xml:id="echoid-s3092" xml:space="preserve">Capricorni, & quod Mars eſſet non
                    <reg norm="ſolum" type="context">ſolũ</reg>
                    <lb/>
                  vbi hic ait, ſed etiam in prima linea contingentiæ epicycli, ideſt in prima linea ma
                    <lb/>
                  ximæ æquationis argumenti, & præſuppoſito etiam quod dicta æquatio eſſet æqua-
                    <lb/>
                  lis illi, quam haberet ad medium Aquarij ſcilicet grad .47. quum centrum epicycli
                    <lb/>
                  eſt in oppoſito augis, manifeſtum eſt, quod eiuſmodi linea contingentiæ non tranſi
                    <lb/>
                  ret vltra grad .15. Piſcium, & tamen hic ait, quodlinea veri motus Martis vadit ad
                    <lb/>
                  grad .16. Arietis. </s>
                  <s xml:id="echoid-s3093" xml:space="preserve">vnde oporteret, quod æquatio argumenti eſſet plus quam grad
                    <num value="78">.
                      <lb/>
                    78.</num>
                  </s>
                  <s xml:id="echoid-s3094" xml:space="preserve">Quod ſi verum eſſet, &
                    <var>.o.c.</var>
                  etiam eſſet partium .54. ſecundum diſtantiam pro-
                    <lb/>
                  ximiorem centro mundi, ſemidiameter epicycli eſſet eiuſmodi partium .52. minut
                    <num value="49">.
                      <lb/>
                    49.</num>
                  & quum Mars eſſet in
                    <var>.g.</var>
                  ideſt in oppoſito veræ augis epicycli, dum centrum epi
                    <lb/>
                  cycli eſſet in eiuſmodi diſtantia à terra, diſtantia
                    <var>.o.g.</var>
                  ideſt à terra ad Martem non
                    <lb/>
                  eſſet plus, quam vna ſola pars ex dictis, cum minut .11. cum partes .52. minu .49.
                    <lb/>
                  ad .54. ſint vt ſinus anguli gra .78. qui eſt partium .97814. ad ſinum totalem partium
                    <lb/>
                  100000. </s>
                  <s xml:id="echoid-s3095" xml:space="preserve">Nam iam ſupra dixi, quod triangulus
                    <var>.o.c.i.</var>
                  eſt rectangulus. </s>
                  <s xml:id="echoid-s3096" xml:space="preserve">Hinc ſeque- </s>
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