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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EPISTOLAE.
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                <pb o="221" rhead="EPISTOLAE." n="233" file="0233" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0233"/>
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                <head xml:id="echoid-head368" style="it" xml:space="preserve">Inctrumentum adortum, & occaſum Lunacognoſcendum
                  <lb/>
                qualibet anni die.</head>
                <head xml:id="echoid-head369" xml:space="preserve">AD EVNDEM.</head>
                <p>
                  <s xml:id="echoid-s2757" xml:space="preserve">ECce tibi vir Illuſtriſs.
                    <reg norm="modum" type="context">modũ</reg>
                    <reg norm="conficiendi" type="context">conficiẽdi</reg>
                  inſtrumenti nuper à me
                    <reg norm="inuenti" type="context">inuẽti</reg>
                  , vt tibi ſi
                    <lb/>
                  gnificaui, quo ſcire poſſis fermè in dies, qua hora (de aſtronomicis loquor) ad
                    <lb/>
                  determinatum parallelum & abſque multa ſupputatione, etiam abſque Aſtrolabio
                    <lb/>
                  Luna oriatur
                    <reg norm="occidatque" type="simple">occidatq́;</reg>
                  . </s>
                  <s xml:id="echoid-s2758" xml:space="preserve">In quo inſtrumento poteris etiam videre quo in ſigno Sol,
                    <lb/>
                  & ſæpius itidem Luna permeat, & huiuſce aſpectus cum Sole, atque longitudinem
                    <lb/>
                  diei
                    <reg norm="noctisque" type="simple">noctisq́;</reg>
                  toto anni tempore exactè diſcernere.</s>
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                <p>
                  <s xml:id="echoid-s2759" xml:space="preserve">Circularis lamina ex argento, aut ære, aliaúe materia paranda eſt, in cu-
                    <lb/>
                  ius ſuperficie ambarum facierum Zodiacus delineabitur, modo inferius depicto,
                    <lb/>
                  deinde pro anno quinque circuli ſibi inuicem
                    <reg norm="concentrici" type="context">cõcentrici</reg>
                  , at reſpectu Zodiaci excen
                    <lb/>
                  trici cęlabuntur in ea, adeo vt vtriuſque centri diſtantia ſit pro .32. parte ſemidia-
                    <lb/>
                  metri concauitatis Zodiaci è regione locis augis, temporis qui noſtra ætate circa ſi-
                    <lb/>
                  nem ſecundi gradus cancri inuenitur, eandem viam, in hoc, ſequuti, quam Stofle-
                    <lb/>
                  rus in dorſo Aftrolabij docet. </s>
                  <s xml:id="echoid-s2760" xml:space="preserve">At nomina menſium media ponantur inter duos
                    <lb/>
                  maiores circulos, poſtea inter ſecundum, & tertium ab vna facierum laminæ, ar-
                    <lb/>
                  cus ſemidiurni, ab altera vero arcus ſeminocturni, per quinos quoſque dies collo-
                    <lb/>
                  centur, ita exactè, vt hic ſubtus videbis. </s>
                  <s xml:id="echoid-s2761" xml:space="preserve">adeo vt numeri dierum & ipſorum dierum
                    <lb/>
                  ſigna ſint in interuallis vicinioribus centro communi dictorum quinque circulorum.</s>
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                <p>
                  <s xml:id="echoid-s2762" xml:space="preserve">Poſteaquam ab vna & altera
                    <reg norm="facierum" type="context">facierũ</reg>
                  laminæ hæc inſculpra fuerint, aliæ duæ circu
                    <lb/>
                  lares laminæ, magnitudinis ſemidiametri minimi quinque circulorum accipiantur:
                    <lb/>
                  </s>
                  <s xml:id="echoid-s2763" xml:space="preserve">quarum vna pro ortu, & altera pro occaſu Lunæ deſeruiet. </s>
                  <s xml:id="echoid-s2764" xml:space="preserve">In qualibet ipſarum
                    <lb/>
                    <reg norm="conſtituentur" type="context">conſtituẽtur</reg>
                  circuli quatuor, eo modo qui paulo inferius cernitur, quos omnes diui-
                    <lb/>
                  demus in triginta ſpacia æqualia: </s>
                  <s xml:id="echoid-s2765" xml:space="preserve">& in interuallo
                    <reg norm="quod" type="wordlist">qđ</reg>
                  inter duos primos circulos poſi
                    <lb/>
                  tum eſt, triginta dies
                    <reg norm="annotabimus" type="simple">annotabimꝰ</reg>
                  qui ipſos Lunætriginta dies
                    <reg norm="pręſcribent" type="context">pręſcribẽt</reg>
                  , vt in figara.</s>
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                <p>
                  <s xml:id="echoid-s2766" xml:space="preserve">Poſtmodum in lamina quæ ortus Lunæ indicabit, ac duorum maiorum
                    <reg norm="circulo- rum" type="context">circulo-
                      <lb/>
                    rũ</reg>
                  interuallo è regione numeri .1. videlicet primi diei, ponemus horas .12. & minuta
                    <num value="48">.
                      <lb/>
                    48.</num>
                  ex aduerſo diei ſecundi ho .13. et min .36. ex oppoſito tertij ho 14. min .24. & ſic
                    <lb/>
                  ſucceſſiuè augendo per min .48. & indicem è diuerſo diei .30.
                    <reg norm="ſtatuendo" type="context">ſtatuẽdo</reg>
                  , qui coitus
                    <lb/>
                  Lunæ cum Sole ſigniſicabit: </s>
                  <s xml:id="echoid-s2767" xml:space="preserve">atque lineas aſpectuum, vt inferius videre eſt facilè in
                    <lb/>
                  ueniemus.</s>
                </p>
                <p>
                  <s xml:id="echoid-s2768" xml:space="preserve">Altera in lamina quæ occaſum Lunæ indicabit, poſtquam diſtincta fuerit, vt alte-
                    <lb/>
                  ra .30. dies ac cęteræ lineæ, eo modo quo in ſuperiori collocabuntur, at numeri in-
                    <lb/>
                  terualli maioris, aliter diſponentur, vt potè ex aduerſo diei primi ſolum .48. minu-
                    <lb/>
                  ta deſcribi debent, è directo ſecundi diei ponenda erit hora vna cum minutis .36. &
                    <lb/>
                  è regione tertij inſcribentur .2. horæ, & min .24. & ſic ex ordine per .48. minuta au-
                    <lb/>
                  gendo.</s>
                </p>
                <p>
                  <s xml:id="echoid-s2769" xml:space="preserve">Nunc lamina ortus Lunę, cum anno arcuum ſeminocturnorum, & illa occaſus cum
                    <lb/>
                  anno arcuum ſemidiurnorum
                    <reg norm="concentrari" type="context">concẽtrari</reg>
                  debet, & ita noſtrum inſtrumentum perfe-
                    <lb/>
                  ctum erit & abſolutum.</s>
                </p>
                <p>
                  <s xml:id="echoid-s2770" xml:space="preserve">Quoties igitur voluerimus medio inſtrumento dignoſcere fermè in tali orizonte
                    <lb/>
                  qua hora Luna oriatur, ita neceſſe erit volubilem rotam ortus flectere, ut index ve
                    <lb/>
                  niat è regione diei menſis in quo talis operatio fit & talirota ſirma manente perſpi- </s>
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