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-div780" type="section" level="3" n="51">
              <div xml:id="echoid-div780" type="letter" level="4" n="1">
                <p>
                  <s xml:id="echoid-s5157" xml:space="preserve">
                    <pb o="425" rhead="EPISTOL AE." n="437" file="0437" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0437"/>
                  bus linearum, meridianę, & verticalis, vt acu mediante volui poſſit, prout oportebit.</s>
                </p>
                <p>
                  <s xml:id="echoid-s5158" xml:space="preserve">Perfectum igitur cum fuerit op us hoc, te oportet ſcire modum ipſo vtendi. </s>
                  <s xml:id="echoid-s5159" xml:space="preserve">Qua-
                    <lb/>
                  propter quotieſcunque volueris, aſpice Solis locum in Zodiaco, Ephemeridibus me
                    <lb/>
                  diantibus, idem dico de vnoquoque reliquorum planetarum. </s>
                  <s xml:id="echoid-s5160" xml:space="preserve">Inuento poſtea So-
                    <lb/>
                  lis loco in noſtro Zodiaco horologij, manu mediante, volue oſtenſorem, ita, vt li-
                    <lb/>
                  nea fiduciæ tranſeat per gradum Solis, deinde, claui ipſius horologij mediante, vol-
                    <lb/>
                  ue indicem, ita cum Zodiaco coniunctum, vt linea fiducię, punctum, ſeu partem ho-
                    <lb/>
                  rę oſtendat in limbo horologii, quę quidem hora notanda eſt ſi fuerit ex ijs quę in-
                    <lb/>
                  cipiunt à meridie vſque ad mediam noctem, vel à media nocte vſque ad meri-
                    <lb/>
                  diem, </s>
                  <s xml:id="echoid-s5161" xml:space="preserve">tunc acu ſupradicta mediante, poſita in aliquo illorum quatuor foraminum,
                    <lb/>
                  circunuoluenda eſt Tabula, ita, vt extremitas lineę meridianę ſupra orizontem, ex
                    <lb/>
                  ęquo incidat inter duodecimam horam, & lineam fiducię, computum incipiendo à
                    <lb/>
                  duodecima hora, ſi vero dicta indicis hora fuerit ex ijs quę
                    <reg norm="incipiunt" type="context">incipiũt</reg>
                  à media nocte &
                    <lb/>
                  deſinunt poſtea in meridie, oportebit, acu mediante, circunuoluere Tabulam, quo-
                    <lb/>
                  uſque punctum extremum meridianæ ſub terra, medio loco exiſtat inter
                    <reg norm="duodecimam" type="context">duodecimã</reg>
                    <lb/>
                  horam, & horam oſtenſam à linea fiducię. </s>
                  <s xml:id="echoid-s5162" xml:space="preserve">Quo facto continuo videbis erectam
                    <reg norm="cae- li" type="simple">cę-
                      <lb/>
                    li</reg>
                  figuram. </s>
                  <s xml:id="echoid-s5163" xml:space="preserve">& quia vidiſti loca planetarum in Ephemeridibus, videbis etiam
                    <lb/>
                  eorum loca accidentalia in domibus ſcilicetaccidentalibus, ſi aliquas fixarum in
                    <lb/>
                  Aranea deſiderabis, accipere poteris Ocu. ♉, cor. ♌, ſpi. ♍, Liram, Aquilam, &
                    <lb/>
                  Arcturum, dum locus fuerit capax. </s>
                  <s xml:id="echoid-s5164" xml:space="preserve">Nec te moueat, quod oportebit lineam fiducię
                    <lb/>
                  ſupra gra. Solis quotidie collocare, quod nihil refert. </s>
                  <s xml:id="echoid-s5165" xml:space="preserve">Nam oportet etiam quoti-
                    <lb/>
                  die cordam fuſo circunuoluere.</s>
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            <div xml:id="echoid-div782" type="section" level="3" n="52">
              <div xml:id="echoid-div782" type="letter" level="4" n="1">
                <head xml:id="echoid-head594" xml:space="preserve">DE DEMONSTRATIONIBVS PROPOSITIONVM
                  <lb/>
                Mathematicarum, nec non de Aſtrologia Iudiciaria.</head>
                <head xml:id="echoid-head595" style="it" xml:space="preserve">Fu
                  <unsure/>
                llustriſſ
                  <var>.D.</var>
                Volfardo Aiſeſtain.</head>
                <p>
                  <s xml:id="echoid-s5166" xml:space="preserve">
                    <emph style="sc">NIhil</emph>
                  mihi gratius & iucundius afferri potuit tuis literis, quibus te cupi-
                    <lb/>
                  dum oſtendis ſciendi rationem, quare ego non vna methodo ad omnes
                    <lb/>
                  propoſitiones demonſtrandas vſus ſim, hoc eſt, </s>
                  <s xml:id="echoid-s5167" xml:space="preserve">quare non omnia ea Eucl.
                    <lb/>
                  Theoremata citem in vnaquaque propoſitione, quę ad
                    <reg norm="eam" type="context">eã</reg>
                  demonſtrandam
                    <reg norm="faciunt" type="context">faciũt</reg>
                  ,
                    <lb/>
                  quemadmodum in mea Gnomonica vidiſti me aliquando omiſiſſe. </s>
                  <s xml:id="echoid-s5168" xml:space="preserve">Reſpondeo
                    <reg norm="quod" type="simple">ꝙ</reg>
                    <lb/>
                  mathematicę demonſtrationes, hominibus Euclidis Elementa poſſidentibus, non in
                    <lb/>
                  digent aliqua citatione numerorum Theorematum ipſius Euclidis, & ſi aliquando
                    <lb/>
                  vſus ſum aliqua citatione eorundem, hoc feci propter conſuetudinem noſtri tempo
                    <lb/>
                  ris, vel etiam ad faciliorem intelligentiam illorum, quibus ſcribebam. </s>
                  <s xml:id="echoid-s5169" xml:space="preserve">Sed omnia
                    <lb/>
                  quamuis minima citare, vt
                    <reg norm="faciunt" type="context">faciũt</reg>
                  nonnulli, mihi, nimis laborioſum,
                    <reg norm="ſuperfluumque" type="simple">ſuperfluumq́;</reg>
                    <lb/>
                  videtur, preſertim ijs (vt dixi) qui memoria tenent prima Elementa. </s>
                  <s xml:id="echoid-s5170" xml:space="preserve">Hęc igitur
                    <lb/>
                  eſt vna ratio. </s>
                  <s xml:id="echoid-s5171" xml:space="preserve">Alia, quia multoties, ita coniuncta eſt ſpeculatio cum ipſa concluſio
                    <lb/>
                  ne, vt mihi ſępius viſum ſit ſuperfluum, aliquid de ipſa theoria ſcribere. </s>
                  <s xml:id="echoid-s5172" xml:space="preserve">In iis
                    <lb/>
                  enim, quę dum puer eramſcripſi, videbis ſcrupuloſam illam methodum, ſed po-
                    <lb/>
                  ſtea, non niſi in arduis propoſitionibus me nihil eſſentiale prętermittere.</s>
                </p>
                <p>
                  <s xml:id="echoid-s5173" xml:space="preserve">Circa vero id de quo me interrogas, ſcilicet, vtrum putem omnia vera eſſe, ea
                    <lb/>
                  quę ſcripta reperiuntur in libris Aſtrologæ iudiciarię. </s>
                  <s xml:id="echoid-s5174" xml:space="preserve">Reſpondeo quod non, imo </s>
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