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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">POSTREMO in linea ſtyli χ d, ſumpta recta G L, ſiue ſupra G, ſiue infra, rectæ G I, æqua-
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li, deſcribatur ex L, circulus ciusuis magnitudinis, qui in partes 24. </
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<
s
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xml:space
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">æquales ſecetur, initio facto
<
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à recta L M, quæ per L, centrum circuli, & </
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<
s
xml:id
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xml:space
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">punctum M, ducitur, vbi linea æquinoctialis lineam
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<
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xml:space
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">20</
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<
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meridianam E ε, interſecat, veluti in horologio declinante à Verticali fit. </
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>
<
s
xml:id
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xml:space
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">Quod ſi contingat li
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neam ęquinoctialem eſſe parallelam lineæ meridianę, vt accidit in plano horologij, quod circu-
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lo maximo æquidiſtat, qui Meridianum circulum in eodẽ puncto ſecat, in quo ab Aequatore di-
<
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uiditur, vt paulo infra demoſtrabimus, inchoanda erit diuiſio dicti circuli ex L, deſcripti à recta,
<
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quæ per L, centrum circuli parallela ducitur lineæ æquinoctiali, vel meridianæ, vt in ſexta figura
<
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huius propoſ. </
s
>
<
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xml:id
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xml:space
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">apparet in linea M O. </
s
>
<
s
xml:id
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xml:space
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">Hic autem, quoniam plerunque accidit, vt centrum L, & </
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>
<
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xml:id
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<
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punctum M, tam vicina inter ſe ſint, vt vix ſine errore aliquo recta L M, à qua diuiſio circuli de-
<
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<
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position
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xlink:label
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xlink:href
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">40</
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bet incipere, duci poſſit, adhibendum omnino erit remedium illud, quod in propoſ. </
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<
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xml:space
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">1. </
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>
<
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">huius libri
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de horologio declinante à Verticali tradidimus, vt nimirum prius lineam horæ 6. </
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>
<
s
xml:id
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xml:space
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">vel alterius cu-
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iuſpiam horæ ducamus, & </
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<
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xml:space
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">c. </
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<
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xml:id
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">vt paulo infra docebimus poſt demonſtrationem. </
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<
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xml:space
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">Rectæ enim per
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centrum L, & </
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<
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xml:id
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xml:space
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">puncta diuiſionum emiſſæ ſecabunt æquinoctialem lineam in punctis, per quæ re-
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ctæ emiſſæ per ρ, centrum horologij, vel vbi centrum non eſt, vt in tertia figura, rectæ ipſi lineæ
<
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meridianæ parallelæ, vel ad lineam æquinoctialem perpendiculares, dabunt horas à meridie, vel
<
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<
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xml:space
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">Lineæ horariæ.</
note
>
media nocte, hoc ordine. </
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<
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xml:space
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">In planis, quæ ad auſtrum ſpectant, portio lineæ meridianæ à centro ho
<
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<
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xlink:label
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xlink:href
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xml:space
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">Ordo horarũ.</
note
>
rologij ρ, verſus lineam æquinoctialem extenſa, vt in prioribus duabus figuris, vel tota linea me-
<
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ridiana, vbi centrum deeſt, vt in tertia figura, demonſtrat horam 12. </
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>
<
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xml:id
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xml:space
="
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">meridiei, quæ verò ei ſunt ad
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dexteram in linea æquinoctiali, horas pomeridianas, & </
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<
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xml:space
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">quæ ad ſiniſtram, antemeridianas ſigni-
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<
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ficant: </
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<
s
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xml:space
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">reliqua verò portio lineæ meridianæ à centro quoque incipiens oſtendit horam 12. </
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<
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xml:space
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">medię
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noctis. </
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<
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xml:space
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">In planis autem boream reſpicientibus, exiſtente quidem linea æquinoctiali infra centrũ
<
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horologii ρ, in linea indicis, vt in quarta figura conſpicitur, denotabit portio meridianæ lineæ à
<
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centro ρ, verſus lineam æquinoctialem porrecta horam 12. </
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>
<
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">meridiei, quæ verò ei ſunt ad dexterã
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in linea æquinoctiali, antemeridianas horas, & </
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<
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xml:space
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">quæ ad ſiniſtram, pomeridianas indicant; </
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<
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">reliqua
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autem portio meridianæ lineæ vltra centrum verſus ſuperiores partes tendens, ad horam 12. </
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<
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diæ noctis pertinet. </
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<
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">Exiſtente verò æquinoctiali linea ſupra horologii centrum ρ, in linea indicis,
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ſeu ſtyli, vt in poſterioribus duabus figuris huius deſcriptionis cernitur, portio lineæ meridianæ
<
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à centro horologij ρ, verſus lineam æquinoctialem producta, vel certè ad ſuperiores partes ten-
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dens, vbi parallelæ ſunt linea æquinoctialis, & </
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<
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">meridiana, vt in ſexta figura, monſtrabit horam
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12. </
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<
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">mediæ noctis, horæ verò ad dextram lineæ meridianæ in æquinoctiali linea deſcendẽtes </
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