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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                  <s xml:id="echoid-s3424" xml:space="preserve">
                    <pb o="273" rhead="EPISTOL AE." n="285" file="0285" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0285"/>
                  genter inſpexeris, omnis tua dubitatio euaneſcet. in qua figura apertè vi debis cor-
                    <lb/>
                  reſpondentiam talium triangulorum inter ſe, nec magis, nec minus quam in infra-
                    <lb/>
                  ſcripta hic figura cernere licet, quamuis in hac, triangula quadrati, ſeparata ſint ab
                    <lb/>
                  imaginarijs
                    <var>.A.E.V.</var>
                  et
                    <var>.A.E.I.</var>
                  in ſupradicta vero coniuncta, & inuicem communican
                    <lb/>
                  tia in puncto
                    <var>.u.i.</var>
                  quod quidem nihil refert. </s>
                  <s xml:id="echoid-s3425" xml:space="preserve">Dempta igitur
                    <var>.a.e.</var>
                  minori ex
                    <var>.a.e.</var>
                  ma-
                    <lb/>
                  iori, reliquum ita ſe habebit ad
                    <var>.a.e.</var>
                  minorem, vt,
                    <var>V.I.</var>
                  ad
                    <var>.I.E.</var>
                  quod nunc tibi
                    <lb/>
                  clarè patebit. </s>
                  <s xml:id="echoid-s3426" xml:space="preserve">Vnde ex te poteris ordinem operationis proſequi, vt in cognitionem
                    <lb/>
                  peruenias ipſius
                    <var>.I.E.</var>
                  ipſius
                    <var>.A.E.</var>
                  & ipſius
                    <var>.I.A.</var>
                  vel
                    <var>.V.A</var>
                  .</s>
                </p>
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                  <image file="0285-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0285-01"/>
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                <p>
                  <s xml:id="echoid-s3427" xml:space="preserve">Sed
                    <reg norm="quando" type="context">quãdo</reg>
                  in proximiori ſtatione latus
                    <var>.b.c.</var>
                  in remotiori vero latus
                    <var>.c.e.</var>
                  ſecatur à fi
                    <lb/>
                  lo (pro ſecunda dubitatione) </s>
                  <s xml:id="echoid-s3428" xml:space="preserve">Tunc oportet imaginatione conſiderare latus
                    <var>.b.c.</var>
                  in
                    <lb/>
                  re motiori ſtatione diſtentum eſſe vſque ad filum in puncto
                    <var>.n.</var>
                  vbi videbis
                    <reg norm="triangulum" type="context">triangulũ</reg>
                    <var>.
                      <lb/>
                    u.b.n.</var>
                  ſimile triangulo
                    <var>.A.E.V.</var>
                  ita vt
                    <var>.i.b.a.</var>
                  ſimile ſuo
                    <var>.A.E.I.</var>
                  reperitur, vbi tam in vno
                    <lb/>
                    <anchor type="figure" xlink:label="fig-0285-02a" xlink:href="fig-0285-02"/>
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