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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A B, verſus rectam D C, æqualis complemento altitudinis poli ſupra Horizontem, & </
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<
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xml:space
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tur recta H B, ſecans æquinoctialem lineam D C, in I. </
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<
s
xml:id
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xml:space
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">Erit triangulum D H I, omnino æquàle triã
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gulo D H I, præfatæ portionis Analemmatis, vel triangulo horologij ſine portione Analemmatis
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deſcripti, & </
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<
s
xml:id
="
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xml:space
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">H I, æqualis lineæ meridianæ H I, eiuſdem portionis Analemmatis, vel dicti triangu-
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<
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xlink:href
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0236-01
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li, vt ex vtraque conſtructio-
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ne huius trianguli in hac ſigu
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ra conſtat. </
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<
s
xml:id
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xml:space
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">Ex priori enim cõ
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ſtructione, ſunt duo latera
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D H, D I, huius triãguli duo-
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bus lateribus D H, D I, illius
<
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<
note
position
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xlink:label
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xlink:href
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xml:space
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">10</
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>
æqualia, angulosq́ continent
<
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æquales, vtpote rectos. </
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>
<
s
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xml:space
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">Igitur
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tota triangula æqualia ſunt.
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</
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>
<
s
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xml:space
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">Ex conſtructione vero poſte-
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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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">4. primi.</
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riori, ſunt duo anguli H D I,
<
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D H I, vnius trianguli duo-
<
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bus angulis H D I, D H I, alte-
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rius trianguli æquales, (quòd
<
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in vtroque triangulo prior an
<
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gulus rectus ſit, & </
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>
<
s
xml:id
="
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xml:space
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">poſterior
<
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<
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position
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xlink:label
="
note-0236-03
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xlink:href
="
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xml:space
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">20</
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>
complemento altitudinis po-
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li æqualis) eſtq́ue latus D H,
<
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vnius lateri DH, alterius equa
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le. </
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<
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xml:space
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">Igitur & </
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>
<
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xml:space
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">latera D I, H I,
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vnius æqualia ſunt lateribus
<
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<
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position
="
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xlink:label
="
note-0236-04
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xlink:href
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xml:space
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">26. primi.</
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D I, H I, alterius, &</
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<
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<
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xml:space
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">Ex cẽtro
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deinde E, Aequatoris in ho-
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rologio, ex quo videlicet cir-
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culus fuit deſcriptus, diui-
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ſusq́; </
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>
<
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xml:space
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">in partes 24. </
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<
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xml:space
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">&</
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<
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xml:id
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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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">tranſ-
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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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>
ferantur omnia interualla in-
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ter centrum E, & </
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<
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xml:space
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">lineas hora
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rias in linea æquinoctiali F K, poſita in lineam D C, huius figuræ, quam nunc conſtruimus, à pun
<
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cto D; </
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>
<
s
xml:id
="
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xml:space
="
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">Nempe interuallo E F, vel E K, in horologio præcedẽti propoſ. </
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>
<
s
xml:id
="
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xml:space
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">deſcripto (quę æqualia ſunt,
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quemadmodum & </
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>
<
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xml:id
="
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xml:space
="
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">quęcunque interualla inter E, & </
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>
<
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xml:id
="
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xml:space
="
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">binas horas æquali temporis ſpatio à meridia
<
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na linea diſtantes, vt conſtat ex ſcholio præcedentis propoſ.) </
s
>
<
s
xml:id
="
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xml:space
="
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">æqualis ſit recta D C, & </
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>
<
s
xml:id
="
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"
xml:space
="
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">interuallo
<
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E R, vel E S, æqualis ſit recta D T, &</
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>
<
s
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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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">Per puncta autem C, T, & </
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>
<
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xml:space
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">reliqua in linea D C, inuenta, ex
<
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H, emittantur rectæ, quibus aſcribantur numeri horarum reſpondentes aſſumptis interuallis, ita
<
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vt recta H C, ſit linea ſeptimæ horæ poſt mediam noctem, & </
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<
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xml:space
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">quintæ poſt meridiem; </
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<
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xml:space
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">H T, horæ
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octauæ poſt mediam noctem, & </
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<
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xml:space
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">quartæ poſt meridiem, &</
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<
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xml:space
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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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">HAS autem eaſdem lineas horarias ex H, emiſſas ducemus quoque, ſi interualla horarum in
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horologio inter centrum H, & </
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<
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xml:id
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xml:space
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">æquinoctialem lineam transferamus in radium Æquatoris huius
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figuræ ex H. </
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<
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xml:space
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">Inueniemus enim hac ratione in radio Æquatoris eadem puncta, quæ prius, per
<
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quæ horariæ lineæ ex H, emiſſæ ſunt, vt propoſ. </
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<
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xml:space
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">2. </
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<
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xml:space
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">huius libri de horologio horizontali de-
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monſtrauimus.</
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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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">PRO hora autem ſexta à mer, vel med. </
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<
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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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">ducatur ex H, ipſi D C, parallela H V. </
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<
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xml:id
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xml:space
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">Et pro ho-
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ra quinta poſt mediam noctem, & </
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<
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xml:space
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">ſeptimam poſt meridiem, ducatur H X, angulum V H X, æqua-
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lem faciens angulo V H C. </
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<
s
xml:id
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xml:space
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">Simili modo pro hora quarta poſt mediam noctem, & </
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<
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xml:id
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xml:space
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">octaua poſt
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meridiem, ducatur H Y, faciens angulum V H Y, angulo V H T, æqualem, & </
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<
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xml:id
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xml:space
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">ſic de cęteris.
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</
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<
s
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xml:space
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">Quod facile fiet, ſi ex H, arcus circuli deſcribatur. </
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<
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xml:space
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">Nam ſi circunſerentiæ huius arcus inter-
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<
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ceptæ inter H V, & </
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<
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xml:space
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">rectas ex H, ad ſiniſtram ipſius H V, eductas, (quæ nimirum rectam D C, ſe-
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cant) transferantur ad dexteram eiuſdem H V, in dictum arcum, &</
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<
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xml:space
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<
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xml:space
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">vt in horologio horizon-
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tali diximus.</
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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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">POST hæc ex puncto D, ducantur radij ſignorum, vt in horologio horizontali dictum eft,
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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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">EX hac ergo figura non ſecus ac in horologio horizontali arcus ſignorum deſcribemus; </
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<
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ferendo ſcilicet interualla horaria huius figuræ intercepta inter H, & </
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<
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">radios ſignorum, in horas
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horologij ex centro H, &</
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<
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<
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">Qua de re vide ea, quæ 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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xml:space
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">IN deſcriptione arcuum ſignorum in boreali horologio mutantur radii ſignorum auſtralium
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in radios borealium, & </
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<
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">contra. </
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<
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xml:space
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">Vt ex radio ♑, fit radius ♋, ex ♐, fit ♊, &</
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<
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xml:space
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">c. </
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<
s
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xml:space
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">Quod etiam de radijs
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arcuum diurnorum, de quibus in propoſ. </
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<
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xml:space
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">ſequenti dicemus, intelligendum eſt. </
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<
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