Aristoteles
,
Physicorvm Aristotelis, sev, de natvrali auscultatione, libri octo
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LIBER III.
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aſpectus, ſemper arcus minor dimidia circuli forma aſſu-
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mitur. </
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<
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dianum. </
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<
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xml:space
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<
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xml:space
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">linea K M in
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G refrangatur: </
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<
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<
s
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xml:space
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">planũ E, quod àtergo triãguli G K M
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existit, educatur: </
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<
s
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xml:space
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">nihil enim referret, ſi quodlibet planũ ex
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hiſce, quæ ſupra lineam G K, iuxta triangulũ K M G con-
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ſistunt, eductum ſit. </
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<
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">Orbis itaq; </
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">ſectura, circulus erit, ma-
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ximus ſit E. </
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<
s
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xml:space
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">Lineæigitur à punctis G K hacratione du-
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ctæ, haudquaquam in alio, & </
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<
s
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xml:space
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">alio quàm ſemicirculi illius
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in quo E, puncto concurrent. </
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<
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">Nam cùm & </
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<
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">puncta G, K
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data ſint, & </
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<
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">linea K M, data utrique erit & </
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<
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">linea M G.
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</
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<
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">Quare & </
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<
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">ratio lineæ M G ad lineam M K. </
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<
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">Datam
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igitur circunferentiam, punctum M attinget. </
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<
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">Sit itaque
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ea, N M. </
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<
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xml:id
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xml:space
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">Quare circunferentiarum ſectio data eſt. </
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Ad aliam enim quàm N M circunferentiam, ab eiſdem
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punctis eadem ratio in eodem plano minimè cõſistit. </
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<
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xml:space
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">Ex-
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tra deſcriptam igitur figuram, linea quædam nempe D B,
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ſeorſim iaceat, ſeceturq́; </
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<
s
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xml:space
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">ad hunc modum, ut quomodo
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linea M G ad lineam M K ſeſe habet, ita linea D ad
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lineam B ſeſe habeat. </
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<
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">Maior autem eſt linea M G,
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quàm linea M K: </
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<
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">quandoquidem turbinis refractio ſu-
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per maiorem angulum fit: </
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<
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guli, M K G, porrigitur: </
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<
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nea B. </
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<
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">Accedat igitur ad lineam B, linea F, aut quod eſt
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linea D ad lineam B, id linea B F ad lineam D ſit: </
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<
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quod eſt linea E, ad lineam K G, id linea B ad aliam, puta
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K Q fiat: </
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<
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catur linea Q M. </
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<
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xml:space
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">Igitur punctum Q, circuli cui lineæ
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à K profluentes ingruunt, uertex erit. </
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<
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habet ad lineam K G: </
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<
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