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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EPISTOL AE.
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                    <pb o="247" rhead="EPISTOL AE." n="259" file="0259" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0259"/>
                  rentia à tabulis
                    <lb/>
                  eſt minut .5. tan
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                  , & à me
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                  o cal-
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                  culo min .7. vide
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                  licet minima.</s>
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                  <s xml:id="echoid-s3114" xml:space="preserve">Nunc autem
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                  nolui ſumere ip-
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                  ſum angulum æ-
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                  quationis à tabu
                    <lb/>
                  lis propter duas
                    <lb/>
                  rationes,
                    <reg norm="primum" type="context">primũ</reg>
                    <lb/>
                  quia ne hic qui-
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                  dem repræhen-
                    <lb/>
                  for in hoc voluit
                    <lb/>
                  credere dictis ta
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                  bulis. </s>
                  <s xml:id="echoid-s3115" xml:space="preserve">Sed id vo-
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                  luit videre pro-
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                  prijs oculis
                    <reg norm="in" type="wordlist">ĩ</reg>
                  ſua
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                  theorica Martis.
                    <lb/>
                  </s>
                  <s xml:id="echoid-s3116" xml:space="preserve">Vbi
                    <reg norm="inuenit" type="wordlist">ĩuenit</reg>
                  quod
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                  linea
                    <var>.o.n.</var>
                  tranſit
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                  per gra .16. </s>
                  <s xml:id="echoid-s3117" xml:space="preserve">Arie
                    <lb/>
                  tis. </s>
                  <s xml:id="echoid-s3118" xml:space="preserve">Secunda ra-
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                  tio eſt, vt videa-
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                  tur quod dictæ tabulæ rectè ſupputatæ ſunt, ſuper dictis ſuppoſitis.</s>
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                <p>
                  <s xml:id="echoid-s3119" xml:space="preserve">Sed vt videat quantus ſit medius motus Martis die .29. </s>
                  <s xml:id="echoid-s3120" xml:space="preserve">Mai colligit fruſtatim,
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                  eleganter colligere poterat, vna opera in columellis ipſius medij motus eiuſmodi
                    <lb/>
                  ſtellæ per eram eiuſdem temporis, quæ erat .2. primarum ſexagenarum .33. ſecunda
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                  rum .32. tertiarum, et .52. quartarum.</s>
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                  <s xml:id="echoid-s3121" xml:space="preserve">Primum deinde ſuppoſitum quod ſcribit, ſcilicet, quod diameter epicycli ſum-
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                  ptus in longitudine media ſit ſignorum .2. & grad .19. vti ſuperfluum eſt, ita etiam fal
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                  ſum, nam eiuſmodi diameter in dicto loco, non occupat ad centrum mundi plus
                    <reg norm="quam" type="context">quã</reg>
                    <lb/>
                  gra .66. min .28. ideſt ſigna .2. gra .6. min .28. quia proportio
                    <var>.o.c.</var>
                  ad ſemidiametrum
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                  epicycli in eiuſmodi loco eſt ut partium .60. minu .18. ad partes .39. min .30. quę duę
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                  lineæ intellectę, vt latera vnius trianguli rectanguli, habebunt pro baſi aliam lineam
                    <lb/>
                  partium ſimilium .72. mi .5. </s>
                  <s xml:id="echoid-s3122" xml:space="preserve">Quæ intellecta vt ſinus totus dabit ſemidiametrum epi-
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                  cycli partium .54798. tanquam ſinum ſubiectum angulo gra .33. min .14. pro medie
                    <lb/>
                  tate illius, quod quæritur.</s>
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                <p>
                  <s xml:id="echoid-s3123" xml:space="preserve">Nec prætermittenda mihi videtur ratio, qua credere poſſumus, hunc cogi-
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                  taſſe, quod diameter epicycli compleat ſpatium duorum ſignorum cum gradibus.
                    <lb/>
                  19 quæ quidem ratio alia eſſe non poteſt, niſi quod cum iſte inuenerit, in
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                  Theoricarum, ſemidiametr um huiuſmodi epicycli eſſe partium .39 min .30. talium
                    <lb/>
                  qualium ſunt .60. illæ quæ ſunt ſemidiametri huius eccentrici, dictas igitur partes .39
                    <lb/>
                  mi .30. hic putauit eſſe gradus Zodiaci, & propterea dixit
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                  huiuſmodi epicy
                    <lb/>
                  cli eſſe
                    <reg norm="ſignorum" type="context">ſignorũ</reg>
                    <reg norm="duorum" type="context">duorũ</reg>
                  , & gra .19. qui numerus .79. duplus eſt numero .39.
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                  dimidio
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                  hoc autem dixit accidere in longitudinibus medijs, quia ſi hic intellexiſſet de pro-
                    <lb/>
                  portione horum duorum diametrorum, quæ eſt ut .120. ad .79. non ſpecificaſſet lo- </s>
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