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">
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                <p>
                  <s xml:id="echoid-s3096" xml:space="preserve">
                    <pb o="245" rhead="EPISTOLAE." n="257" file="0257" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0257"/>
                  retur, quod in in-
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                  teruallo
                    <var>.o.g.</var>
                    <reg norm="vnius" type="simple">vniꝰ</reg>
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                    <figure xlink:label="fig-0257-01" xlink:href="fig-0257-01a" number="292">
                      <image file="0257-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0257-01"/>
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                  partis, & min .11.
                    <lb/>
                  reſpectu
                    <var>.o.c.</var>
                  par-
                    <lb/>
                  tium .54. </s>
                  <s xml:id="echoid-s3097" xml:space="preserve">Colloca
                    <lb/>
                  retur ſemidiame-
                    <lb/>
                  ter terrę cum ſpiſ-
                    <lb/>
                  ſitudine aeris, i-
                    <lb/>
                  gnis, cęlorum Lu-
                    <lb/>
                  næ, Mercurij, Ve-
                    <lb/>
                  neris, & Solis,
                    <reg norm="prae­ terquam" type="simple">prę­
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                    terquam</reg>
                  quod vt
                    <lb/>
                  inter Solem, &
                    <lb/>
                  terram ſunt circa
                    <lb/>
                  605. diametri ip
                    <lb/>
                  ſius terræ, inter
                    <lb/>
                  terram, & Mar-
                    <lb/>
                  tem cum eſſet in
                    <lb/>
                  auge ſui epicycli,
                    <lb/>
                  & epicyclus in au
                    <lb/>
                  ge eccentrici, in-
                    <lb/>
                  uenirentur cir--
                    <lb/>
                  ca .60000. dia--
                    <lb/>
                  metri eiuſdem ter
                    <lb/>
                  ræ, & tamen ea diſtantia ſiue interuallum non poteſt continere .5000. diametri ter-
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                  ræ. </s>
                  <s xml:id="echoid-s3098" xml:space="preserve">Et quod plus eſt, hic tam vaſtum facit hunc ſuum epicyclum, vt ambiente Mar-
                    <lb/>
                  te per inferiorem eius partem, neceſſe ei eſſet manere in vno duodecatemorio mul-
                    <lb/>
                  to plus quam .7. aut .8. menſ. </s>
                  <s xml:id="echoid-s3099" xml:space="preserve">vnde hic multo magis miraretur quam prius. </s>
                  <s xml:id="echoid-s3100" xml:space="preserve">Hinc cer-
                    <lb/>
                  nere licet quam rectè facti ſint hi eius calculi.</s>
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                <p>
                  <s xml:id="echoid-s3101" xml:space="preserve">Vt autem etiam hinc aliqua vtilitas capiatur (prætermiſſis inconuenientibus vna
                    <lb/>
                  cum falſis ſuppoſitis huius) Videamus ordine ſcientifico vbi poterat eſſe verus lo-
                    <lb/>
                  cus Martis, aut vero proximus, die .29. Mai anni .1514. quem hic exempli cauſa ſu-
                    <lb/>
                  mit. </s>
                  <s xml:id="echoid-s3102" xml:space="preserve">
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                  tam ad defenſionem tabularum Alfonſi, quam ephemeridum ex eis col
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                  lectarum. </s>
                  <s xml:id="echoid-s3103" xml:space="preserve">quæ quidem exactæ ſunt, vt quiſque peritus ſacile videre poterit, non au-
                    <lb/>
                  tem calculatæ à tam ſtupidis hominibus, vt à vero aberrent etiam gradibus .46. vt
                    <lb/>
                  hic ait ſe depræhendiſſe.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3104" xml:space="preserve">Primum igitur ſupponemus eoſdem illos terminos, quos ipſe nec d@bet, nec po
                    <lb/>
                  teſt negare, præter ea quæ ſupra ſuppoſita ſunt, nempe quod ſemidiameter epicycli
                    <lb/>
                  ſit partium .39. minu .30. & eccentricitas partium .6. talium qualium eſt ſemidiame-
                    <lb/>
                  ter deferentis diuiſus in .60. & quod dicto tempore aux eccentrici Martis eſſet cir-
                    <lb/>
                  ca minutum .5. grad .16. Leonis, ſcilicet graduum .135. min .5. & quod linea motus
                    <lb/>
                  me
                    <unsure/>
                  diocris eſſer circa minu .30. gradus .22. </s>
                  <s xml:id="echoid-s3105" xml:space="preserve">Capricorni, & quod verum
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                  Mar
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                  tis eſſet grad .151 minut .20. & quod argumentum verum eſſet grad .149. minu .39.
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                    <reg norm="atque" type="simple">atq;</reg>
                  ita oſtendam, neque tabulas, neque ephemerides errare, ne quidem vno gra-
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                  du, ac ne quidem multis minutis, non modò tam monſtruoſa differentia, vt ipſe
                    <lb/>
                  ait.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3106" xml:space="preserve">Quare primum nobis ſcientificè inueniendum eſt, quanta eſſet diſtantia
                    <var>.o.c.</var>
                  </s>
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