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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rologij. </
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<
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xml:space
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id eſt, axis mundi, in punctum M, cum tunc altitudinem ſupra Horizontem haberet Grad. </
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<
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Quare, vt in coro ll
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. </
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<
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<
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<
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<
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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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">IAM vero (vtad deſcriptionem horarum veniamus) deſcribenda ſit linea horæ 6. </
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<
s
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</
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<
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Sub hora 6. </
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<
s
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xml:space
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">tropici ♋, quæ occidentalis eſt, & </
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<
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">borealis, reperio arcum latitudinis vmbræ Gr. </
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<
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</
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<
s
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<
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<
s
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xml:space
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">Hunc ergo numero ex D, puncto occidentali verſus C, partes boreales v@que ad N, (Quod
<
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<
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xml:space
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drãtis in princi
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pio lib. 1. con-
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@truct@.</
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quidẽ beneficio illius quadrãtis, quẽ ad initiũ primi lib. </
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<
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<
s
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xml:space
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negotio omnes arcus in circulũ quemuis transferentur, vt illius vſus mirificus maxime hac in re
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appareat) & </
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<
s
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xml:space
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">ex N, per E, duco rectã occultã N E O, quæ cõmunis ſectio erit plani horologij, & </
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<
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xml:space
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ticalis per Solem tranſeuntis hora 6. </
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<
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xml:space
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">à mer. </
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<
s
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xml:space
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">Cum enim circuli Verticales ſecẽt Horizontẽ, & </
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<
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lũ A B C D, ei parallelum, per propoſ. </
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<
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<
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<
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<
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<
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xml:space
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">in partes ſimiles, ſit autem arcus D N,
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ſimilis ei, qui in Horizonte intercipitur inter Verticalem primarium, & </
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<
s
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<
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xml:space
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">Qua arte ex at-
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cubus latitudi-
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num vmbtarũ
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latitudo vmbræ
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inquiratur.</
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hora 6. </
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<
s
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">à mer. </
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<
s
xml:id
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xml:space
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">per Solem ducitur, tranſeatq́ue Verticalis primarius per D, tranſibit alius Verti-
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calis per N, ac propterea recta N E O, communis ſectio erit illius Verticalis, & </
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<
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</
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<
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Igitur per propoſ. </
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<
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<
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">lib. </
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<
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">1. </
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<
s
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">vmbra ſtyli in rectam E O, cadet; </
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<
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">vtpote in partem orientalem, au-
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ſtralemq́ue, quæ parti occidentali, borealiq́ue, in qua Sol tunc eſt, opponitur. </
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<
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<
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">hac ratione ex
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arcubus latitudinum vmbrarum latitudovmbrę inuenitur, hoc eſt, in quam partem vmbra proij-
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ciatur, cognoſcitur, ſi dicti arcus recte ſupputentur à puncto D, vel B, verſus C, vel A, prout oc-
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cidentales, oriẽtalesve fuerint, & </
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<
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">boreales, auſtralesve. </
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>
<
s
xml:id
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xml:space
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">Rurſus ſub eadẽ hora 6. </
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<
s
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xml:space
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">tropici ♋, inuenio
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longitudinẽ vmbræ P. </
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<
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<
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">M. </
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<
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">19 Hanc ergo beneficio circini ex recta I H, acceptã, (ſtatuendo vnũ
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pedem circini in numero 36. </
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<
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">& </
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<
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<
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">7. </
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<
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">M. </
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<
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<
s
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">rectæ G I, ita vt tota recta inter circini pedes
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interiecta cõplectatur P. </
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<
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<
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<
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<
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<
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</
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<
s
xml:id
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xml:space
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">In hoc enim punctum extremitas vmbræ cadet hora 6. </
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<
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">à mer. </
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<
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xml:space
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">Sole exiſtẽte in principio ♋ Etquo
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niam, vt propoſ. </
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<
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<
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<
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<
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<
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<
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<
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<
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ridianam lineã perpendicularis, ſi per O, ducatur recta ad A C, perpendicularis, vel lineæ æquino
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ctiali æquidiſtans, deſcripta erit linea horæ 6. </
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<
s
xml:id
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xml:space
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">à mer. </
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<
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xml:space
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">Quod ſi arcui D N, ſumatur ęqualis arcus
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B P, verſus C, & </
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<
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">ex P, per E, recta occulta ducatur P E Q, & </
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<
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xml:id
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xml:space
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">ex E Q, abſcindatur recta E Q, rectæ
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E O, æqualis, cadet vmbræ extremũ in punctũ Q, hora 6. </
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<
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xml:space
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">à med. </
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<
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<
s
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xml:space
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</
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<
s
xml:id
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xml:space
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">quia idem arcus eſt huius horæ, qui prioris, & </
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>
<
s
xml:id
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"
xml:space
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">eadem longitudo vmbrę, ſed arcus horæ 6 à med. </
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<
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noc. </
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<
s
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">orientalis eſt, quemadmodum arcus horæ 6. </
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<
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">à mer. </
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<
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">occidentalis, vt ex tabella apparet. </
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<
s
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xml:space
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rurſus deſcribenda hora 9. </
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<
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">à med. </
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<
s
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xml:space
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">noc. </
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<
s
xml:id
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xml:space
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">Quoniam eius latitudo vmbræ in tabula, Sole exiſtente
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in principio ♋, auſtralis eſt, & </
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>
<
s
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xml:space
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">orientalis, continetq́ue gr. </
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<
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<
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">M. </
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<
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<
s
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xml:space
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">ſupputo eam ex B, puncto
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orientali verſus auſtrum vſque ad R, ducoq́ue rectam occultam R E S, & </
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>
<
s
xml:id
="
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xml:space
="
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">ex E S, abſcindo vm-
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bram E S, Partium 10. </
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>
<
s
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">M. </
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<
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">37. </
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>
<
s
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">quam in tabula reperio ſub hora 9. </
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>
<
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">à med. </
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>
<
s
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xml:space
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">noc. </
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>
<
s
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xml:space
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">Sole exiſtente in
<
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tropico ♋. </
s
>
<
s
xml:id
="
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xml:space
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">Ita enim inuentum erit punctum S, in quod, Sole exiſtente in tropico ♋, </
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