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-div477" type="chapter" level="2" n="6">
            <div xml:id="echoid-div622" type="section" level="3" n="25">
              <div xml:id="echoid-div626" type="letter" level="4" n="3">
                <p>
                  <s xml:id="echoid-s3956" xml:space="preserve">
                    <pb o="325" rhead="EPISTOLAE." n="337" file="0337" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0337"/>
                  nem planià meridiano, & non à dicto verticali.</s>
                </p>
                <p>
                  <s xml:id="echoid-s3957" xml:space="preserve">Con ſidera primum in Munſtero cap .16. ſuæ horologiographiæ, vbi clarè docet
                    <lb/>
                  accipere angulum compræhenſum inter meridianum, & planum propoſitum, vbi
                    <lb/>
                  etiam ponit quandam figuram ædificij cum pariete ſuper quo deſignatum eſt quod
                    <lb/>
                  dam horologium, & vbi ſe manifeſtè declarar, ita dicens.</s>
                </p>
                <quote>
                  <s xml:id="echoid-s3958" xml:space="preserve">Nam ipſarum partium complementum. propoſitum indicabit angulum, quan-
                    <lb/>
                  tus videlicet fuerit arcus eiuſdem circuli
                    <var>.d.e.f.g.</var>
                  à puncto
                    <var>.g.</var>
                  vſque ad productam li-
                    <lb/>
                  neam meridianam interceptus, qui vnà cum ipſo
                    <var>.f.g.</var>
                  quadrantem integrare videtur,
                    <lb/>
                  vt in ſequenti figura: </s>
                  <s xml:id="echoid-s3959" xml:space="preserve">quoniam arcus
                    <var>.f.g.</var>
                  eſt ſexaginta partium, qualium
                    <var>.e.</var>
                  f
                    <unsure/>
                  .
                    <reg norm="quadrans" type="context">quadrãs</reg>
                    <lb/>
                  nonaginta, vnde concluditur reliquam partem hoc eſt, datum inclinationis
                    <reg norm="angulum" type="context">angulũ</reg>
                  ,
                    <lb/>
                  fore partium triginta ſimilium.</s>
                </quote>
                <p>
                  <s xml:id="echoid-s3960" xml:space="preserve">Orontius verò cap .13.
                    <reg norm="ijſdem" type="context">ijſdẽ</reg>
                  vtitur verbis, cum figura ſimili ad reliqua autem ipſius
                    <lb/>
                  R. Clauij, videnda nondum mihi otium fuit. </s>
                  <s xml:id="echoid-s3961" xml:space="preserve">quod ſi dabitur, tibi libenter
                    <unsure/>
                  dicam
                    <lb/>
                  quid ſentiam.</s>
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            <div xml:id="echoid-div630" type="section" level="3" n="26">
              <div xml:id="echoid-div630" type="letter" level="4" n="1">
                <head xml:id="echoid-head489" xml:space="preserve">DE MODO DVCENDI LINEAS HORARIAS
                  <lb/>
                ſuper cyllindro immobili.</head>
                <head xml:id="echoid-head490" style="it" xml:space="preserve">Hieronymo Ferrerio artium & Medicina Doctori peritißimo.</head>
                <p>
                  <s xml:id="echoid-s3962" xml:space="preserve">
                    <emph style="sc">DEsignare</emph>
                  horarias lineas ſuper cyllindro immobili, ad orizontemq́ue
                    <lb/>
                  perpendiculariter erecto difficile tibi non erit, (quod à me poſtulaſti) ſi
                    <lb/>
                  modum .53. cap. meæ gnomonicæ obſeruaueris, accipiendo tamen pro
                    <lb/>
                  linea orizontali in tabula non aliquam rectam lineam, ſed circularem,
                    <lb/>
                  ſimilemque circunferentiæ ipſius cyllindri, dico autem ſimilem, eo quod ſi gn o-
                    <lb/>
                  mon
                    <var>.o.x.</var>
                  ſupra tabulam ſignatus, & perpendicularis ipſi orizontali circulari
                    <var>.b.i.x.</var>
                    <lb/>
                  eſſet dimidia, vel tertia vel quarta pars gnomonis cyllindro infixi, oporteret, vt
                    <lb/>
                  ſemidiameter circuli
                    <var>.b.i.x.</var>
                  etiam
                    <lb/>
                  eſſet medietas, vel tertia, aut quar
                    <lb/>
                    <figure xlink:label="fig-0337-01" xlink:href="fig-0337-01a" number="359">
                      <image file="0337-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/figures/0337-01"/>
                    </figure>
                  ta pars ſemidiametri cyllindri, vt
                    <lb/>
                  omnes arcus huiuſmodi circuli in
                    <lb/>
                  ter ipſos azimut intercepti ſimiles
                    <lb/>
                  ſint arcubus cyllindri, quod à
                    <lb/>
                  te ipſo facilè videre ſcientificè po
                    <lb/>
                  teris. </s>
                  <s xml:id="echoid-s3963" xml:space="preserve">reliqua nihil mutanda erunt
                    <lb/>
                  ab eo, quod ſcripſi circa figuram
                    <num value="53">.
                      <lb/>
                    53.</num>
                  cap. vt dixi. </s>
                  <s xml:id="echoid-s3964" xml:space="preserve">Vnde inuenta
                    <lb/>
                  cum fuerit diſtantia orizontalis
                    <lb/>
                  puncti
                    <var>.b.</var>
                  à pede gnomonis
                    <var>.x.</var>
                  nec
                    <lb/>
                  non quantitas azi mutalis muralis
                    <lb/>
                    <var>b.t.</var>
                  quæ ſemper ab orizontali per
                    <lb/>
                  pendiculariter deſcendit, illicò
                    <lb/>
                  punctum
                    <var>.t.</var>
                  horæ propoſitæ in cy-
                    <lb/>
                  lindro inuenietur.</s>
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