Clavius, Christoph
,
Gnomonices libri octo, in quibus non solum horologiorum solariu[m], sed aliarum quo[quam] rerum, quae ex gnomonis umbra cognosci possunt, descriptiones geometricè demonstrantur
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GNOMONICES
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quoque triangulum A D E, æquale erit triangulo D X S, proximè antecedentis figuræ, cum trian-
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gulum D X S, æquale ſit prædicto triangulo F p m. </
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<
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xml:space
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">Quoniam enim angulus I D X, in Analemma-
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te huius figuræ angulo E F p, in figura antecedentis propoſ. </
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<
s
xml:id
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xml:space
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">eſt æqualis, quòd vterque ſit angulus
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complementi altitudinis poli; </
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<
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xml:space
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">& </
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<
s
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xml:space
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">angulus rectus D I X, angulo recto F E p; </
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<
s
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xml:space
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">ſuntq́ue latera D I,
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F E, æqualia, quòd vtrumque ſtylo ſit ſumptum æquale; </
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<
s
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xml:space
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">erunt quoque latera D X, X I, lateribus
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<
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xlink:label
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xml:space
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">26. primi.</
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F p, p E, æqualia. </
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<
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xml:space
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">Eademq́ue ratione D S, S I, lateribus F m, m E, æqualia erunt, &</
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<
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xml:space
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">c. </
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<
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xml:space
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ex figura præcedentis propoſ. </
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<
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">omnia interualla inter centrum e, & </
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<
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xml:space
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">puncta, quibus lineæ Verticales
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lineam horizontalem ſecant, transferantur in hanc figuram ex A, in rectam A B, notatis punctis
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in recta A B, appoſitisq́ue numeris linearum Verticalium, vt 90. </
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<
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xml:space
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">iuxta punctum E, & </
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<
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xml:space
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punctum, &</
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<
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xml:space
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">c. </
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<
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xml:space
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">Poſtremo ex D, per puncta in A B, ſignata educantur rectæ lineæ: </
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<
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xml:space
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">Pro Verticali au-
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tem linea proprie dicta, à qua aliarum principium ſumitur, ducenda eſt per D, ipſi A B, parallela
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D F, & </
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<
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">ad dextram partem ipſius trãsferendæ quoque ſunt lineæ iam ductæ ex D, per puncta rectę
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A B, vt habeantur lineæ Verticales vltra, & </
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<
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xml:space
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">citra lineam Verticalem proprie dictam, quemadmodũ
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in horologio horizontali factum eſt propoſ. </
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<
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">de lineis ante horam 6. </
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xml:space
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">& </
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<
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xml:space
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">poſt. </
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<
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xml:space
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">Nam li-
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neę ex D, per puncta rectæ A B, emiſſæ ſpectant ad lineas Verticales ante Verticalem propriè dictã,
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in quas ſcilicet vmbra ſtyli proiicitur, Sole exiſtente in Verticalibus borealibus; </
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<
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xml:space
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">aliæ verò perti-
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nent ad Verticales lineas vltra Verticalem circulum propriè dictum, &</
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<
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">c.</
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<
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</
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<
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<
s
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xml:space
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">ITAQVE ſi interualla rectarum ex D, egredientium inter D, & </
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<
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">paralleli Hori-
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zontis grad. </
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<
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">15. </
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<
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">poſita transferantur ex puncto p, figuræ pręcedentis propoſ. </
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<
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xml:space
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">in lineas Verticales re-
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ſpondentes numeris in recta A B, huius figuræ aſſignatis, notando puncta in ipſis lineis Verticali-
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bus, (ita tamen vt interualla rectarum ex D, emiſſarum, & </
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<
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xml:space
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">verſus A B, cadentium trans ferantur ex
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Zenith p, in lineas Ver-
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ticales horologii ſupra
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lineam Verticalem pro-
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0296-01
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priè dictam, interualla
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verò rectarum ex D, ca-
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dentium ad dextram re
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ctæ D F, transferantur
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in Verticales lineas in-
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fra Verticalem lineam
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<
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propriè dictam) & </
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<
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puncta appoſitè, con-
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gruenterq́ue linea qua-
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dam inflexa coniungan
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tur, deſcriptus erit pa-
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rallelus Horizontis gr.
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</
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<
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<
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">Eademque ratione
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reliqui paralleli Hori-
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zontis deſcribentur. </
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<
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<
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Demonſtratio huius rei
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<
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">Demonſtratio
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poſterioris hu-
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iuſce deſcriptio
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nis parallelorũ
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Horizontis.</
note
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<
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">40</
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non differt ab illa, quã
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tradidimus in ſecundo
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modo deſcribendi pa-
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rallelos ſignorum Zo-
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diaci in horologio ho-
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rizontali. </
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<
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xml:space
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">Nam hic li-
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nea horizontalis eſt veluti Æquatoris linea, & </
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<
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xml:space
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">lineæ Verticales tanquam lineæ horariæ, quarum
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centrum eſt Zenith p, &</
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<
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xml:id
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">c. </
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<
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">vt in præcedenti Analemmate diximus. </
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<
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">Itaque recta A B, huius
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figuræ reſpondet radio Æquatoris in poſtrema figura propoſ. </
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<
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<
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<
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xml:space
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">& </
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<
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xml:space
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">rectæ ex A, emiſ-
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ſæ radijs ſignorum ex D, emiſſis: </
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<
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">recta autem A D, axi D H, & </
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<
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xml:space
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">punctum D, puncto H, li-
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<
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">50</
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neæ denique Verticales ex D, cadentes lineis horarijs ex H, ductis. </
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<
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">Idem fiet, ſi interualla re-
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ctarum ex D, exeuntium inter rectam A B, quæ (vt diximus) eſt inſtar radij Æquatoris, & </
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<
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<
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rectas ex A, emiſſas, quæ ſunt veluti radij ſignorum, transferantur in reſpondentes lineas Verti-
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cales à linea horizontali horologij, &</
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<
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<
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">quemadmodum in horizontali horologio interualla
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inter radium Æquatoris, & </
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<
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">radios ſignorum translata ſunt, vt arcus ſignorum deſcriberentur.
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</
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<
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xml:space
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">Pro horologio æquinoctiali inferiori transferendi ſunt radij parallelorum Horizontis ex A, per
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puncta quadrantis B C, egredientes ad ſiniſtram rectæ A B, ita, vt quemadmodum in figura vlti-
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ma propoſ. </
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<
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">2. </
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<
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<
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xml:space
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">radij ſignorum ad partem dextram radij Æquatoris pertinent ad ſigna
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auſtralia infra lineam æquinoctialem horologij deſcribenda, & </
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<
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">radij ad ſiniſtram, ad ſigna borea-
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lia ſupra æquinoctialem lineam deſcribenda: </
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<
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">ita etiam hic radij parallelorum Horizontis ex A,
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educti ad dexteram rectæ A B, quæ eſt inſtar noui cuiuſdam radij Æquatoris, vt dictum eſt, </
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