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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LIBER SECVNDVS.
"/>
tineant ad parallelos Horizontis infra lineam horizontalem, quæ eſt tanquam noua quædã æqui-
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noctialis linea, deſcribendos, tanquam ſigna auſtralia; </
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<
s
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echoid-s19034
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xml:space
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">radij verò emiſſi ad ſiniſtram rectæ A B,
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referantur ad parallelos Horizontis ſupra lineam horizontalem horologij, nempe in horologio
<
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inferiori, deſcribendos, tanquam ſigna borealia. </
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<
s
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xml:space
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">Vnde cum portio horologij ſupra lineam hori-
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zontalem æqualis ſit inferiori horologio, rectè transferuntur in eam radij parallelorum Hori-
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zontis ex A, educti ad partem ſiniſtram rectæ A B, &</
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<
s
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xml:space
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">c. </
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<
s
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">quę omnia in figura præcedentis propoſ.
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</
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<
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">apparent. </
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<
s
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xml:space
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">Parallelos ergo Horizontis in eodem æquinoctiali horologio duximus. </
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<
s
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echoid-s19040
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xml:space
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">quod erat
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faciendum.</
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<
s
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xml:space
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</
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</
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<
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type
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<
head
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style
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<
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xml:space
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">QVONIAM verò Ellipſes, cum integræ ſunt deſcribendæ, cuiuſmodi eſt Ellipſis paralleli Hori-
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<
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<
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xlink:label
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xml:space
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">Quo pacto ex
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vna medietate
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Ellipſis reliqua
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medietas deſc
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ri
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benda ſit.</
note
>
zontis grad. </
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<
s
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xml:space
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">60. </
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<
s
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echoid-s19044
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xml:space
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">in noſtro exemplo difficulter, incommode{q́ue} deſcribuntur per omnia puncta in lineis Ver-
<
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ticalibus inuenta; </
s
>
<
s
xml:id
="
echoid-s19045
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xml:space
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preserve
">vt hic per ea, quæ existunt prope alterum extremum q, diametri Ellipſis P q; </
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<
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xml:space
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">vte-
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mur hac induſtria, vt vniformiter eas deſcribamus. </
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>
<
s
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="
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xml:space
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">Inuento in linea meridiana altero extremo diame-
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tri, vt hic puncto q, (quod quidem reperietur, ſi recta D 90. </
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<
s
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echoid-s19048
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xml:space
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">ad dexteram ipſius D F, in proxima figura in-
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tercepta inter D, & </
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<
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">radium paralleli grad. </
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<
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<
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xml:id
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xml:space
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">transferatur in lineam meridianam horologij ex p, vſque
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ad q; </
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<
s
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xml:space
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">vel certein Analemmate huius propoſ. </
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>
<
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xml:space
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">ſumatur diameter Ellipſis par alleli gr. </
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<
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xml:space
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">60. </
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<
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xml:space
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">inter P, & </
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<
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xml:space
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">aliud
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latus trianguli per axem in cono, cuius baſes ſunt paralleli gr. </
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<
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">60. </
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<
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xml:space
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">intercepta, transferatur q; </
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<
s
xml:id
="
echoid-s19059
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xml:space
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">ex P, uſque
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ad q.) </
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>
<
s
xml:id
="
echoid-s19060
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xml:space
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">ſecabimus totam diametrum P q, bifariam in r, vt r, ſit centrum Ellipſis, vt conſtat ex definitio-
<
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nibus ſecundis Apollonij, ducemus{q́ue} per r, perpendicularem ad P q, nempe diametrum ſecundam El-
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lipſis. </
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>
<
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">Deinde quia per propoſ. </
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<
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<
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<
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">Apollonij, recta linea quæcunq; </
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<
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xml:space
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">per centrum Ellipſis ducta in
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centro bifariam diuiditur, ducemus ex punctis verticalium linearum, per quæ medietas ſuperior Ellipſis
<
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tranſit, (quæ quidem medietas commodius deſcribi poteſt, quam inferior, vt patet) per centrum r, lineas
<
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occultas, & </
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>
<
s
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="
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xml:space
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">earum partibus inter dicta puncta, & </
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<
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xml:id
="
echoid-s19068
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xml:space
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">centrum r, abſcind cmus infra centrum æquales rectas
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lineas, imprimendo puncta in lineis illis occultis. </
s
>
<
s
xml:id
="
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xml:space
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">Per hæc enim puncta ducenda erit inferior medietas
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Ellipſis. </
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<
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">Facile autem ex propoſitione 75. </
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<
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">cognoſcemus,
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quinã parallelus Horizontis Ellipſim faciat in horologio. </
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<
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">Hac arte vtemur quoque in Ellipſibus aliorum
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horologiorum, vbi hæ deſcribendæ erunt.</
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</
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<
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">EODEM modo in horologio inferiori deſcribemus parallelos Horizontis ſupra lineam horizonta-
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">Qua tatione pa
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ralleli ſupra li-
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neam horizon-
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talem ex eorũ
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<
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oppoſitis infra
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horizontalem
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lineam deſcri-
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ptis deſcriban-
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tur.</
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lem, ex eorum oppoſitis in horologio ſuperiori deſcriptis, & </
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<
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">accur atius multo, ſi ſecundum doctrinam in
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fine propoſ. </
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<
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<
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<
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rumq; </
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<
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<
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<
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">In poſteriori quidem figura huius propoſ. </
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<
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">diametri tranſuerſæ ſunt portiones rectæ
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D E, poſitæ inter radios parallelorum horizontis oppoſitorum ex A, egredientes, æqualiter q; </
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<
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à recta A B.</
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</
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</
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<
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">MERIDIANOS, id eſt, circulos longitudinum ciuitatum, in eo-
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dem horologio æquinoctiali deſcribere.</
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</
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<
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<
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number
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0297-01
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xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0297-01
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</
figure
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deſcriptio in eo
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dem horologio
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@quinoctiali.</
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diani deſcribentur, vt
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<
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horæ à meridie, vel me-
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dia nocte, quemadmo-
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dum docuimus propoſ.
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</
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<
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<
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circulus A C B D, be-
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neficio cuiuspropoſ. </
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<
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<
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huius libri lineas hora-
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rias duximus, principiũ
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diuiſionis in 360. </
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<
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dus ſumat à Meridiano
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<
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circulo inſularum For-
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tunatarum, qui habetur
<
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in horologio ſuperiori,
<
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ſi loci longitudo nume-
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retur à Meridiano loci,
<
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nempe à puncto A, uer-
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ſus D, partes occidenta-
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les, vſq; </
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<
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</
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<
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">vt perſpicuum eſt, ſi ho-
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rologium in proprio ſi-
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tu intelligatur eſſe </
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