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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<
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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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">EX his ſequitur, polos circulorum horas ab ortu, vel occaſu monſtrantium diuidere parallelum per
<
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xlink:label
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xml:space
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">Poli circulorũ
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horas ab or uel
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otc. indicantiũ
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partiuntur pa-
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rallelũ per ver-
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ticem loci de-
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ſeriptum in 24.
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partes æquales.</
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verticem loci, ſiue polum Horizontis deſcriptum in partes 24. </
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<
s
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">æquales, initio facto à Meridia no circulo:
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</
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<
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<
s
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xml:space
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">puncta, vbi dictus parallelus à circulis horarum à meridie, vel media nocte ſecatur, quæ quidem
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poli ſunt circulorum horas ab ortu, vel occaſu monſtrantium, vt oſtendimus, eundem parallelum in par-
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tes 24. </
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<
s
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">æquales ſecant, initio facto à Meridiano circulo, vt conſtat ex propos. </
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<
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<
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<
s
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xml:space
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">VT autem videas, quonam modo partes illæ parallelorum intercipiantur inter duos ſemicirculos
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<
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xlink:label
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note-0060-03
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xlink:href
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note-0060-03a
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xml:space
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">Quomodo in
<
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circulis horatũ
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ab or. uel occ.
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ſumantur ſemi
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circuli noa con
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currentes.</
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proximos non concurrentes; </
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<
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">Sint paralleli quotcunque; </
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<
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xml:space
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">A B C, ſemper apparentium maximus; </
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<
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">D E F,
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parallelus ♋; </
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<
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">G H I, Aequator; </
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">& </
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<
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">K L M, parallelus ♑. </
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<
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xml:space
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">Sumantur in A B C, ſpatia horarum æqua-
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lia C N, N O, & </
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<
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xml:space
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">in punctis C, N, O, parallelum A B C, tangant maximi circuli C P H Q, N R S T,
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O V X Γ, quorum C P H Q, ſit
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number
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0060-01
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xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0060-01
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Horizon. </
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<
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">Secent aut ſe mutuo
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C P H Q, N R S T, in Z, & </
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<
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</
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<
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">erunt{q́ue} per propoſ. </
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<
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<
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<
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Theodoſii, Z Q α, Z T α, ſemi-
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circuli, & </
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<
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xml:space
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">idcirco P Q α, ſemi-
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circulo minor. </
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<
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">Sumatur arcus
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α β, arcui P Z, & </
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<
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">arcus α γ,
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arcui Z δ, æqualis; </
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<
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">eruntq́, P Q
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α β, δ Z T γ, ſemicirculi non
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concurrentes, cum mutuo ſe non
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interſecent. </
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<
s
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">Eadem ratione, ſi
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circuli N R S T, O V X Y, ſe
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mutuo ſecent in @, & </
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<
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">θ, ſuma-
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tur{q́ue} arcus θλ, arcui V ε, æqua-
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lis, erunt δ Z T γ, V Y θ λ,
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<
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ſemicirculi nõ coeuntes, vt con-
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ſtat. </
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<
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">Eodemq́, modo in circu-
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lis reliquis maximis parallelum
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A B C, tangentibus in reliquis
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ſpatijs horarijs æqualibus inue-
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niemus ſemicirculos non concur-
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rentes. </
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<
s
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xml:space
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">Spatia igitur P R, R V,
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H S, S X, Q T, T Y, & </
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<
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qua huiuſmodi diximus ſpatijs
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horarijs C N, N O, & </
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<
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">alijs eſſe
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ſimilia, & </
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<
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<
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">at que adeo ſpatia
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cuiuslibet paralleli æqualia in-
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">Circuli dimi-
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diatas partes,
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quartas, octa-
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uas, &c. horarũ
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ab or. vel occ.
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monſtrantes.</
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ter ſe eſſe, quemadmodum & </
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<
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<
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">reliqua ſpatia paralleli A B C, æqualia ſunt inter ſe.</
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</
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<
s
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xml:space
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">QVOD ſi alij circuli maximi tangant eundem parallelum in punctis alijs, quibus diuiditur à circu-
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lis horarijs à meridie, vel media nocte dimidias horas, quartas partes horarum, octauas, & </
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<
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<
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bus, indicabunt hi horas dimidias, quartas horarum partes, octauas, & </
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<
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<
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">ab ortu, vel occaſu. </
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<
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enim eſt demonſtratio partium, at que horarum integrarum. </
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<
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">Hi autem circuli non ineptè Horarij ab ortu,
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<
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xlink:label
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">Horarii circuli
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ab or. uel occ.</
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vel occaſu poſſunt appellari.</
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<
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<
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xml:space
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">HORVM porrò circulorum ſemicir culi inter bina puncta contactuum poſiti, quorum vnum ſemper
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eſt horæ alicuius à meridie, & </
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<
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">alterum horæ eiuſdem à media nocte, vt patet exijs, quæ in ſcholio præce-
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<
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xlink:label
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">Qui ſemicirculi
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ad horas ab or-
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tu, & qui ad ho-
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ras ab occaſu
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pertineant.</
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<
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dentis propoſ. </
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<
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">ſcripſimus, procedendo per puncta horaria æquinoctialis circuli infra Horizontem, initio
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facto à ſemicirculo Horizontis occidentali, procedendo{q́ue} ab ortu in occaſum, ſeu contra ſucceſſionem
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ſignorum, pertinent ad horas ab occaſu inchoatas, ita vt ſemicirculus Horizontis occidentalis indicet
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horam 24. </
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<
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">ab occaſu, ſemicirculus autem proximus occidentalis infra Horizontem dct horam primam
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ab occaſu, & </
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<
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<
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">ita deinceps, procedendo ſemper verſus
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occidentales partes, ſeu contra ſucceſſionem ſignorum, donec iterum ad ſemicirculum Horizontis occi-
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dentalem reuertamur. </
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<
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">Reliqui autem ſemicirculi, qui incedunt per puncta horaria æquinoctialis circuli
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ſupra Horizontem, initio facto à ſemicirculo Horizontis orient ali, procedendoq́, ab ortu in occaſum, hoc
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eſt, contra ſucceſſionem ſignorum, ad horas ab ortu Solis ſpectant, ita vt ſemicirculus Horizontis orier-
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talis monſtret horam 24. </
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<
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">ab ortu, proximus autem ſemicirculus orient alis ſupra Horizontem exhibeat
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@oram primam ab ortu, & </
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<
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">ſequens contra ſucceſſionem ſignorum horam ſecundam, & </
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<
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