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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            <div xml:id="echoid-div622" type="section" level="3" n="25">
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                <p>
                  <s xml:id="echoid-s3906" xml:space="preserve">
                    <pb o="321" rhead="EPISTOL AE." n="333" file="0333" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0333"/>
                  maiori numero declinationis quam fuerit angulus
                    <var>.n.g.e</var>
                  . </s>
                  <s xml:id="echoid-s3907" xml:space="preserve">tunc talis paries illumina-
                    <lb/>
                  bitur ab ipſo Sole à mane vſque ad veſperam.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3908" xml:space="preserve">Huius quidem rei ſpeculatio, vnicuique manifeſta erit, qui rationes .46. cap. no-
                    <lb/>
                  ſtræ gnomonicæ prius intellexerit, vbi manifeſtè apparet proportionem ſemidiame
                    <lb/>
                  tri horologij (ſi ita eam appellare licet) ad ſemidiametrum æquatoris horarij ſem-
                    <lb/>
                  per eſſe, vt
                    <var>.e.t.</var>
                  ad
                    <var>.t.g.</var>
                  hoc eſt proportio maioris inæqualitatis. </s>
                  <s xml:id="echoid-s3909" xml:space="preserve">nolo etiam prætermic
                    <lb/>
                  tere. </s>
                  <s xml:id="echoid-s3910" xml:space="preserve">quin te admoneam, vt nullo pacto confidas in longioribus vmbris, eo quod val
                    <lb/>
                  de nos decipiant, cum ſemper iuſto breuiores ſint.</s>
                </p>
              </div>
              <div xml:id="echoid-div626" type="letter" level="4" n="3">
                <head xml:id="echoid-head487" style="it" xml:space="preserve">Declar atio quorundam verborum noſtræ
                  <unsure/>
                Gnomonicæ.
                  <lb/>
                  <reg norm="Defenſioque" type="simple">Defenſioq́ꝫ</reg>
                nostra contra Christophorum Clauium.</head>
                <head xml:id="echoid-head488" xml:space="preserve">AD EVNDEM DARDANVM.</head>
                <p>
                  <s xml:id="echoid-s3911" xml:space="preserve">TVas demum accepi literas, qui
                    <lb/>
                    <anchor type="figure" xlink:label="fig-0333-01a" xlink:href="fig-0333-01"/>
                  bus mihi ſignificas te totum
                    <num value="52">.
                      <lb/>
                    52.</num>
                  caput meæ gnomonicæ intelle-
                    <lb/>
                  xiſſe, præter illa verba, quæ etiam
                    <lb/>
                  ſuperioribus diebus ad te ſcripſi,
                    <lb/>
                  hoc eſt.</s>
                </p>
                <div xml:id="echoid-div626" type="float" level="5" n="1">
                  <figure xlink:label="fig-0333-01" xlink:href="fig-0333-01a">
                    <image file="0333-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0333-01"/>
                  </figure>
                </div>
                <quote>
                  <s xml:id="echoid-s3912" xml:space="preserve">
                    <reg norm="Itaque" type="simple">Itaq;</reg>
                  medijs binis triangulis ijs,
                    <lb/>
                    <reg norm="medioque" type="simple">medioq́;</reg>
                  azimut Solis, pariter ho-
                    <lb/>
                  rologia fabricari poterunt.</s>
                </quote>
                <p>
                  <s xml:id="echoid-s3913" xml:space="preserve">Quapropter nealiquid tibi de-
                    <lb/>
                  ſit, ſcire debes, menihil aliud, eo
                    <lb/>
                  in loco inferre voluiſſe, quàm
                    <reg norm="quod" type="wordlist">qđ</reg>
                    <lb/>
                  punctum horæ propoſitæ in plano
                    <lb/>
                  horologij orizontali reperiri po-
                    <lb/>
                  teſt, ope longitudinis vmbræ gno-
                    <lb/>
                  monis, & eius declinationis à ver-
                    <lb/>
                  ticali linea, ſeu à meridiana orizon
                    <lb/>
                  tali, iam in ipſo horologij plano
                    <lb/>
                  ductis.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3914" xml:space="preserve">Exempli gratia, ſit analemma
                    <var>.
                      <lb/>
                    l.q.m.b.</var>
                  in quo
                    <var>.l.m.</var>
                  ſit verticalis
                    <var>.q.
                      <lb/>
                    b.</var>
                  verò orizontalis
                    <var>.f.n.h.</var>
                  autem ſit
                    <lb/>
                  ſemicirculus, cuiuſuis paralleli æqui
                    <lb/>
                  noctiali, cuius diameter fit
                    <var>.f.h.</var>
                  et
                    <var>.
                      <lb/>
                    n.</var>
                  ſit Solis locus in ipſo parallelo: </s>
                  <s xml:id="echoid-s3915" xml:space="preserve">n.
                    <lb/>
                  r. autem ſit rectus ſinus arcus
                    <var>.f.n</var>
                  : et
                    <var>.
                      <lb/>
                    r.o.z.</var>
                  ſectio communis ipſius almi-
                    <lb/>
                  cantarat cum meridiano, et
                    <var>.s.a.</var>
                    <reg norm="con" type="context">cõ</reg>
                    <lb/>
                  munis ſectio azimut Solis cum pla-
                    <lb/>
                  no horologij, et
                    <var>.s.g.</var>
                  gnomon, et
                    <var>.x.
                      <lb/>
                    g.a.</var>
                  radius Solis
                    <var>.z.u.</var>
                  verò ſinus alti-
                    <lb/>
                  tudinis ipſius Solis, vbi videre po-
                    <lb/>
                  tes duo triangula dicta eſſe
                    <var>.z.u.g.</var>
                  </s>
                </p>
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