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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                    <pb o="309" rhead="EPISTOL AE." n="321" file="0321" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/163127KK/pageimg/0321"/>
                  orizontem, vt exempli gratia, canicula quæ à Græcis
                    <reg norm="Prochyon" type="context">Prochyõ</reg>
                  vocatur, reperitur in
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                  24. minuto vigeſimi gradus Cancri, quapropter polus borealis eleuatur ſupra ori-
                    <lb/>
                  zontem, cui ipſa oritur cum eodem gradu, & minuto eclipticę illius ſigni. </s>
                  <s xml:id="echoid-s3806" xml:space="preserve">ſed
                    <lb/>
                  quia volumus etiam ſcire veram quantitatem arcus eleuationis huiuſmodi poli, pro
                    <lb/>
                  pterea accipiemus in tabula generali Monteregij numerum qui vocatur radix aſcen
                    <lb/>
                  ſionum, èregione numeri longitudinis ipſius ſtellæ, qui quidem numerus in præſen
                    <lb/>
                  ti exemplo erit gra .107. cum minutis .53. qui eſt
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                  arcus æquatoris, qui inci-
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                  pit in principio Arietis, & in circulo latitudinis deſinit, hoc eſt ab orizonte quæſi-
                    <lb/>
                  to, ita quod talis numerus erit aſcenſio obliqua huiuſmodi puncti eclipticæ illi ori-
                    <lb/>
                  zonti, qua aſcenſione mediante, ſimul cum gradu, & minuto longitudinis in tabulis
                    <lb/>
                  aſcenſionum obliquarum, inueniemus gradum, & minutum altitudinis pollaris,
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                  quærebatur, eodem ordine ac methodo, quo vtimur ad inueniendum in tabulis po-
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                  ſitionum, polum circuli poſitionis alicuius aſtri, mediante declinatione & diſtantia
                    <lb/>
                  à meridiano ciuſdem aſtri, vt ſcis. </s>
                  <s xml:id="echoid-s3807" xml:space="preserve">Vnde in præſenti exemplo eleuatio poli borea
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                  lis ſupra talem orizontem erit gra .7. cum minutis .45.</s>
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                  <s xml:id="echoid-s3808" xml:space="preserve">Sed ſi ſtella fuerit in medietate aſcendente, tunc certi erimus polum auſtralem ſu
                    <lb/>
                  per dictum orizontem attolli, nam idem eſt quærere altitudinem vnius
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                  mun
                    <lb/>
                  di à tali orizonte, quod diſtantiam dicti poli à circulo ſecundum quem longitudo
                    <lb/>
                  terminatur, qui etiam latitudinis dicitur, eo quod tunc temporis talis circulus vnus
                    <lb/>
                  & idem eſt cum orizonte. </s>
                  <s xml:id="echoid-s3809" xml:space="preserve">Sumatur ergo exempli gratia ſtella, quæ in ore piſcis au
                    <lb/>
                  ſtralis eſt, quę, pro nunc, ſit in gradu .20. cum minutis .14. </s>
                  <s xml:id="echoid-s3810" xml:space="preserve">Aquarij longitudinis, &
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                  in gradu .23. cum nullo minuto meridianæ latitudinis. </s>
                  <s xml:id="echoid-s3811" xml:space="preserve">Tunc certi erimus orizon-
                    <lb/>
                  tem, cui dicta ſtella oritur cum eiuſmodi puncto eclipticæ, depreſſum eſſe à parte
                    <lb/>
                  auſtrali ſub
                    <reg norm="illoque" type="simple">illoq́</reg>
                  polo, ſed quia propoſitum eſt ſcire etiam quantitatem huiuſmo-
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                  di depræſſionis, reperiemus in tabula generali gradum, & minutum æquatoris, cor-
                    <lb/>
                  reſpondentem tali puncto longitudinis à circulo latitudinis terminato, qui quidem
                    <lb/>
                  numerus in præſenti exemplo erit gra .317. cum minutis .46. & hic numerus, vt dixi
                    <lb/>
                  mus eſt aſcen. obli. ad dictum orizontem, vbi polus auſtralis attollitur, & deſcenſio
                    <lb/>
                  obliqua, vbi polus borealis eleuatur. </s>
                  <s xml:id="echoid-s3812" xml:space="preserve">Quapropter ſi à .317. gradibus cum minutis
                    <lb/>
                  46. demptus fuerit dimidius circulus gra .180. remanebunt gra .137. cum minutis .46
                    <lb/>
                  & punctus oppoſitus gradibus .20. cum .14. minutis Aquarij eſt in eodem numero
                    <lb/>
                  Leonis, & mediantibus iſtis gradibus .137. min .46. aſcenſionis, cum grad .20. min
                    <num value="14">.
                      <lb/>
                    14.</num>
                  Leonis inueniemus eleuationem poli borealis ab orizonte in tabulis aſcenſio-
                    <lb/>
                  num obliquarum Monteregij, hoc eſt gra .17. min .53. & eadem altitudo erit poli
                    <lb/>
                  auſtralis ſupra orizontem à quo Fomahant cum dicto puncto eclipticæ oritur, in qua
                    <lb/>
                  longitudine dicta ſtella reperitur.</s>
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                  <s xml:id="echoid-s3813" xml:space="preserve">Sed ſi propoſitus nobis fuerit punctus eclipticæ, cum quo aliqua ſtella oritura ſit,
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                  & oporteat inuenire vbi, hoc eſt orizontem huiuſmodi ortus, eleuatione poli arti
                    <lb/>
                  ci, ſeu antarctici ſupra talem orizontem, ita operandum eſſet.</s>
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