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]

Table of contents

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              <div xml:id="echoid-div573" type="letter" level="4" n="5">
                <p>
                  <s xml:id="echoid-s3671" xml:space="preserve">
                    <pb o="297" rhead="EPISTOL AE." n="309" file="0309" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0309"/>
                  xta, & non diſtincta, procedendo igitur vlteriusipſi radij citra
                    <var>.o</var>
                  . </s>
                  <s xml:id="echoid-s3672" xml:space="preserve">tunc
                    <reg norm="diſgregantur" type="context">diſgregãtur</reg>
                  ,
                    <lb/>
                  & ſeparantur abinuicem, &
                    <reg norm="cum" type="context">cũ</reg>
                  perueniunt ad lineam
                    <var>.a.u.e.</var>
                  ſentiuntur diſtincti alij
                    <lb/>
                  ab alijs. </s>
                  <s xml:id="echoid-s3673" xml:space="preserve">Cuius quidem rei, exemplum manifeſtum accipere poſſumus à quouis
                    <lb/>
                  cubiculo ex omni parte clauſo, quod tranſitum
                    <reg norm="nullum" type="context">nullũ</reg>
                  permittat radijs luminoſis, ni
                    <lb/>
                  ſi per aliquod paruum foramen, in quo foramine, & extra ipſum cubiculum, omnes
                    <lb/>
                  radij mixti erunt, ſed in obiecto pariete ipſius cu-
                    <lb/>
                    <figure xlink:label="fig-0309-01" xlink:href="fig-0309-01a" number="332">
                      <image file="0309-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0309-01"/>
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                  biculi videb untur diſtincti, vnde ſequitur, quòd
                    <lb/>
                  quo remotius erit obiectum
                    <var>.c.n.t.</var>
                  ab
                    <var>.o.</var>
                  tanto acu-
                    <lb/>
                  tior erit angulus
                    <var>.c.o.t.</var>
                  & ſuus contrapoſitus ſimili-
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                  ter, & per conſequens linea
                    <var>.e.u.a.</var>
                  breuior erit, &
                    <lb/>
                    <reg norm="punctum" type="context">punctũ</reg>
                    <var>.o.</var>
                  propinquius etiam erit ipſi lineæ
                    <var>.a.u.e.</var>
                    <lb/>
                  quæ omnia efficiunt, vt nobis obiectum
                    <var>.c.t.</var>
                    <reg norm="paruum" type="context">paruũ</reg>
                  ,
                    <lb/>
                  & minus diſtinctum, ſeu magis confuſum appareat.</s>
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                <head xml:id="echoid-head440" xml:space="preserve">DE APPARENTI DISTANTIA PARTIV M
                  <lb/>
                hæmiſphærij.</head>
                <head xml:id="echoid-head441" style="it" xml:space="preserve">Anſelmo Fucaro.</head>
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                  <s xml:id="echoid-s3674" xml:space="preserve">GRatæ mihi tuæ literæ
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                  , quibus
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                  non
                    <reg norm="paruum" type="context">paruũ</reg>
                    <reg norm="deſiderium" type="context">deſideriũ</reg>
                    <reg norm="ſciendi" type="context">ſciẽdi</reg>
                  vnde
                    <lb/>
                  fiat, quod cum dies illuceſcit, & eſt ſerena pars Cœli, circa axem orizontis
                    <lb/>
                  demiſſior appareat, quam aliæ partes,
                    <reg norm="cum" type="context">cũ</reg>
                  ab alijs (quod
                    <reg norm="ſciam" type="context">ſciã</reg>
                  ) ſatis expreſſum
                    <reg norm="non" type="context">nõ</reg>
                  fue
                    <lb/>
                  rit, ſed quia de eo à me aliquid ſcire deſideras dicam quod mihi
                    <reg norm="verum" type="wordlist">vr̃</reg>
                  . </s>
                  <s xml:id="echoid-s3675" xml:space="preserve">Scias non
                    <reg norm="ſolum" type="context">ſolũ</reg>
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                    <reg norm="multitudinem" type="context">multitudinẽ</reg>
                    <reg norm="obiectorum" type="context">obiectorũ</reg>
                    <reg norm="oppoſitorum" type="context">oppoſitorũ</reg>
                  efficere, vt aliqua res alia longius diſtare videat,
                    <lb/>
                  vt alij
                    <reg norm="putarunt" type="context">putarũt</reg>
                  , ſed etiam diuerſitates colorum, quamobrem cum decipiamur, cre-
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                  dentes Cœlum eſſe præditum colore cęruleo, cum is color, aeri, non Cœlo
                    <lb/>
                  conueniat, & videntes huiuſmodi colorem circa axem
                    <reg norm="orizontis" type="context">orizõtis</reg>
                  magis denſum,
                    <reg norm="quam" type="context">quã</reg>
                    <lb/>
                  verſus ipſum orizontem, ratione exiguæ reſlexionis, à pauca quantitate vaporum
                    <lb/>
                  inter noſtrum ſitum, & reſlexionis locum, iudicamus Cœlum proximiorem eſſe cir-
                    <lb/>
                  ca dictum axem, quam ſint aliæ partes; </s>
                  <s xml:id="echoid-s3676" xml:space="preserve">præterquam, quod is color, qui videtur
                    <lb/>
                  terminare, aut impedire radium viſualem (aduertas tamen me hac in re platonicum
                    <lb/>
                  non eſſe) eo ſemper propinquior eſſe videtur, qui ei locum dat, & hanc ob cauſam
                    <lb/>
                  videntes nos
                    <reg norm="denſitatem" type="context context">dẽſitatẽ</reg>
                  cęrulei circa axem orizontis, & cernentes amplitudinem gy
                    <lb/>
                  ri aliarum partium, adducimur, vt putemus
                    <reg norm="eam" type="context">eã</reg>
                    <reg norm="partem" type="context">partẽ</reg>
                    <lb/>
                    <figure xlink:label="fig-0309-02" xlink:href="fig-0309-02a" number="333">
                      <image file="0309-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0309-02"/>
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                  viciniorem eſſe. </s>
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                    <reg norm="Neque" type="simple">Neq;</reg>
                  illud
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                    <reg norm="omittam" type="context">omittã</reg>
                  hoc
                    <reg norm="etiam" type="context">etiã</reg>
                  fie
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                  ri ratione imaginationis, vnde
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                  multis
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                  euenire poteſt, ideſt vt eis magis profundum videa
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                  tur
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                  , circa axem orizontis, quam vicinum gy
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                  ro
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                    <reg norm="orizontis" type="context">orizõtis</reg>
                  , iudicantibus
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                    <reg norm="longinquio" type="context">lõginquio</reg>
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                    <reg norm="rem" type="context">rẽ</reg>
                  eſſe, quæ ſeſe magis
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                  oculo
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                  , &
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                    <reg norm="propinquiorem" type="context">propinquiorẽ</reg>
                  quę ſeſe
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                  oſtendit, vt ei
                    <reg norm="ent" type="context">ẽt</reg>
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                  cont
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                  ingere poteſt, qui
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                  non
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                    <reg norm="quidem" type="context">quidẽ</reg>
                    <reg norm="ductam" type="context">ductã</reg>
                  ſecundú
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                  opticè, ſed ita, vt om-
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                  nia latera oppoſita
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                  ſint parallela, proſpiciet,
                    <lb/>
                  ideſt
                    <var>.a.i.</var>
                  ad
                    <var>.e.t.</var>
                  et
                    <var>.c.u.</var>
                  ad
                    <var>.o.n.</var>
                  et
                    <var>.a.i.</var>
                  ad
                    <var>.c.u.</var>
                  et
                    <var>.e.t.</var>
                  ad
                    <lb/>
                    <var>o.n.</var>
                  vnde ſequitur, vt aliquando quadratum
                    <var>.a.o.</var>
                    <lb/>
                  videbitur citra, et
                    <var>.i.n.</var>
                  vltra
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                  cubum aliquando
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                  verò èconuerſo.</s>
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