Aristoteles - Physicorvm Aristotelis, sev, de natvrali auscultatione, libri octo

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507101LIBER III. punctum M refrangi ſolent, omnibus in planis conſimili-
ter ſeſe habebunt, efficientqúe angulum æqualem, nempe
K M G: & quem angulum lineæ K Q, & Q M, ſu-
per lineam G Q committent, ſemper æqualis erit. Igi-
tur trianguli ſemper lineam G Q constituti, triangu-
lo G M Q æquales ſunt: horum autem perpendicula,
in idem punctum lineæ G Q cadent, atq; æqualia inter
ſe erunt. Cadant in O, igitur O, circuli centrum existit:
cuius partem alteram, nempe eam, quæ circa M N bo-
rizon abſtulit.

9[Figure 9]

Rurſum, ſit horizon A C, ſupra quẽ iam ſubiectũ ſit pun-
ctum G: ſitq́ nũc axis: G Q. Reliquaomnia, haud ſecus
atq; prius ostendẽtur. Circuli enim uertex Q, ſub horizõ-
te A C, eleuato pũcto G, erit. Vertex autẽ circuli, & cen-
trum tam circuli, quàm eius, qui nunc pũcti eleuationẽ ter-
minat (is enim eſt G Q) in eadem linea ſunt. Cùm uerò
puncta K G, ſupra diametrũ A C ſint, circuli centrũ ſcili-
cet O ſub priori terminante, nempe A C, in linea K Q
erit. Quare portio, quæ ſupra horizontem existit, ut S T
ſole ſupra eandem eleuato, minor ſemicirculo erit: nam
R S T, ſemicirculus erat, nube autem à terminante A C
interfectus eſt: portio itaq; B S. minimè apparebit.

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