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-div483" type="section" level="3" n="3">
              <div xml:id="echoid-div486" type="letter" level="4" n="2">
                <p>
                  <s xml:id="echoid-s2718" xml:space="preserve">
                    <pb o="218" rhead="IO. BAPT. BENED." n="230" file="0230" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0230"/>
                  culares lineæ ex aurichalco applicentur inuicem coniuncti per medium ad angulos
                    <lb/>
                  rectos, quorum prior
                    <var>.f.e.g.</var>
                  in ſe globi polos mediantibus extremitatibus axis mun-
                    <lb/>
                  di contineat, qui quidem poli à punctis ſuarum interſectionum per
                    <reg norm="quartam" type="context">quartã</reg>
                  ex æquo
                    <lb/>
                  in punctis
                    <var>.f.</var>
                  et
                    <var>.g.</var>
                  ita diſtent, vt globus circa eoſdem, in ſitu longitudinis mundi vol-
                    <lb/>
                  ui poſſit. </s>
                  <s xml:id="echoid-s2719" xml:space="preserve">Huiuſmodi autem circulus, æquatoris deferens appelletur.</s>
                </p>
                <p>
                  <s xml:id="echoid-s2720" xml:space="preserve">Secundus autem circulus ſit
                    <var>.h.e.K.</var>
                  cum primo ad angulos rectos in puncto
                    <var>.e.</var>
                  &
                    <lb/>
                  in ſuo oppoſito connexus, & is appellabitur æquator, & poli
                    <var>.f.g.</var>
                  primi poli dicentur.</s>
                </p>
                <p>
                  <s xml:id="echoid-s2721" xml:space="preserve">Circa huiuſmodi duos circulos, alios
                    <reg norm="etiam" type="context">etiã</reg>
                  duos exiſtere
                    <reg norm="vellem" type="context">vellẽ</reg>
                  ſimul
                    <reg norm="coniunctos" type="context context">cõiũctos</reg>
                  medio
                    <lb/>
                  ad angulos rectos. </s>
                  <s xml:id="echoid-s2722" xml:space="preserve">In quibus
                    <reg norm="quidem" type="context">quidẽ</reg>
                  interſectionis punctis ſint duo poli, qui hos duos
                    <lb/>
                  circulos cum ſecundo priorum ideſt cum æquatore in duobus punctis inuicem op-
                    <lb/>
                  poſitis connectant; </s>
                  <s xml:id="echoid-s2723" xml:space="preserve">quæ æquatoris puncta à punctis interſectionis eiuſdem cum ſuo
                    <lb/>
                  deferente, ratione vna quarta diſtent, quorum duorum circulorum primus ſit
                    <var>.n.i.
                      <lb/>
                    m.</var>
                  quem deferentem azimut appellabimus; </s>
                  <s xml:id="echoid-s2724" xml:space="preserve">ſecundus
                    <var>.r.n.s.m.</var>
                  azimut locorum no­
                    <lb/>
                  minabimus. </s>
                  <s xml:id="echoid-s2725" xml:space="preserve">eorundem interſectionis rectæ, puncta ſint
                    <var>.n.</var>
                  et
                    <var>.m.</var>
                  à quibus duo poli ex
                    <lb/>
                  aurichalco confecti ſimiles primis
                    <var>.n.h.</var>
                  et
                    <var>.m.K.</var>
                  vſque ad puncta
                    <var>.h.</var>
                  et
                    <var>.K.</var>
                  æquatoris
                    <lb/>
                  perueniant, qui ſpisſitudinem æquatoris diſtantem à puncto
                    <var>.e.</var>
                  vna quarta
                    <reg norm="penetrent" type="context">penetrẽt</reg>
                  ,
                    <lb/>
                  ita vt æquator circum circa
                    <var>.n.h.</var>
                  et
                    <var>.m.K.</var>
                  in ſitu latitudinis mundi verti queat. </s>
                  <s xml:id="echoid-s2726" xml:space="preserve">Et
                    <lb/>
                  hos, ſecundos polos nominabimus.</s>
                </p>
                <p>
                  <s xml:id="echoid-s2727" xml:space="preserve">Alius deinde circulus
                    <var>.q.i.p.</var>
                  duos poſteriores circulos ambiat, cum deferente ta-
                    <lb/>
                  men azimut mediantibus duobus polis in puncto
                    <var>.i.</var>
                  & in ſuo oppoſito exęquo diſtan
                    <lb/>
                  tibus à ſecundis polis vnius quartæ ſpatio iungatur. </s>
                  <s xml:id="echoid-s2728" xml:space="preserve">Ita vt dictum deferens azimut
                    <lb/>
                  circa hos tertios polos volui poſſit, atque hunc circulum
                    <var>.q.i.p.</var>
                  orizontem vniuerſa
                    <lb/>
                  lem vocabimus. </s>
                  <s xml:id="echoid-s2729" xml:space="preserve">Hic vero orizon ſuper quatuor quartas circuli, aut ſuper quatuor
                    <lb/>
                  paruis columnis, ut fieri ſolet innixis ſuæ baſi, ita ponatur, vt moueri non poſſit.</s>
                </p>
                <p>
                  <s xml:id="echoid-s2730" xml:space="preserve">Primus autem circulus
                    <var>.f.e.g.</var>
                  deferens æquatoris in .4. partes æquales diuidatur,
                    <lb/>
                  quarum quælibet .90. gradibus conſtet, incipiendo ab interſectionibus
                    <var>.e.</var>
                  & eius op
                    <lb/>
                  poſito æquatoris, & numeri in polis
                    <var>.f.</var>
                  et
                    <var>.g.</var>
                  globi finem ſortiantur. </s>
                  <s xml:id="echoid-s2731" xml:space="preserve">Diuidatur etiam
                    <lb/>
                  æquator
                    <var>.h.e.K.</var>
                  in .360. partes incipientes à puncto
                    <var>.e.</var>
                  verſus
                    <var>.K.</var>
                  deferens autem azi
                    <lb/>
                  mut
                    <var>.n.i.m.</var>
                  ab omni diuiſione liber maneat, ſed azimut
                    <var>.n.s.m.r.</var>
                  in .360. gradus inci
                    <lb/>
                  piendo à puncto
                    <var>.n.</var>
                  verſus
                    <var>.r.</var>
                  diuidatur.</s>
                </p>
                <p>
                  <s xml:id="echoid-s2732" xml:space="preserve">Orizon autem
                    <var>.q.i.p.</var>
                  diuidatur in quartas, quarum quælibet ſit nonaginta
                    <reg norm="graduum" type="context">graduũ</reg>
                    <lb/>
                  incipiendo à puncto
                    <var>.i.</var>
                  & eius oppoſito ideſt à polis poſtremis & terminando in pun-
                    <lb/>
                  ctis
                    <var>.q.</var>
                  et
                    <var>.p.</var>
                  in medio ipſorum polorum, & quarta
                    <var>.i.p.</var>
                  orientalis ſeptentrionalis, et
                    <var>.i.
                      <lb/>
                    q.</var>
                  orientalis meridiana appellentur. </s>
                  <s xml:id="echoid-s2733" xml:space="preserve">& ſic ordine ſeruato occidentales.</s>
                </p>
                <p>
                  <s xml:id="echoid-s2734" xml:space="preserve">Præterea pręparata ſit quædam quarta, ex aurichalco, circuli æqualis ipſi orizon-
                    <lb/>
                  ti, & in .90. gradus diſtincta quæ cum quauis ſuarum extremitatum ipſi zenit, in azi-
                    <lb/>
                  mut applicari poſſit, quemadmodum circa globos cęleſtes fieri ſolet; </s>
                  <s xml:id="echoid-s2735" xml:space="preserve">quę quidem ad
                    <lb/>
                  cognoſcendam altitudinem poli ipſius globi ab orizonte nobis inſeruiet.</s>
                </p>
                <p>
                  <s xml:id="echoid-s2736" xml:space="preserve">Atque hac ratione hanc noſtram machinam perfectè abſoluemus
                    <reg norm="quam" type="context">quã</reg>
                  appellan-
                    <lb/>
                  dam eſſe Armillam nauticam ſentio. </s>
                  <s xml:id="echoid-s2737" xml:space="preserve">Hic autem illud non omittam, concauum
                    <lb/>
                  duorum priorum circulorum à ſuperficie globi non nimis diſtare debere & con-
                    <lb/>
                  cauum aliorum à ſuperficie conuexa priorum longe poſitos eſſe
                    <reg norm="non" type="context">nõ</reg>
                  debere, & con
                    <lb/>
                  cauam orizontis à conuexa ſecundorum procul abeſſe non debere.</s>
                </p>
                <p>
                  <s xml:id="echoid-s2738" xml:space="preserve">Neque illud etiam prætermittendum eſt, opere pretium fore ſi in interſectione
                    <lb/>
                  e. priorum, erit foramen elicum, vt clauo elico ex aurichalco confecto, poſſimus
                    <lb/>
                  ſiſtere globum, quando oportuerit, ne amplius circa primos ſuos polos
                    <var>.f.g.</var>
                  circun-
                    <lb/>
                  uoluatur, cum
                    <reg norm="ſitus" type="simple">ſitꝰ</reg>
                  fuerit. </s>
                  <s xml:id="echoid-s2739" xml:space="preserve">Inde etiam laudo vt in azimut
                    <var>.r.n.s.m.</var>
                  è regione deferen
                    <lb/>
                  tis æquatoris, ideſt
                    <var>.f.e.g.</var>
                  aliud quoddam foramen huiuſmodi ſit poſitum, in quo </s>
                </p>
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