Viviani, Vincenzo
,
De maximis et minimis, geometrica divinatio : in qvintvm Conicorvm Apollonii Pergaei
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patet quomodo cuilibet horum trilineorum circumſcribi poſſit figura ex
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æque-altis parallelogrammis, &</
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<
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<
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">quæ ſuperet proprium trilineum magni-
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tudine, quæ minor ſit quacunque magnitudine propoſita.</
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<
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">Iam dico huiuſmodi trilinea inter ſe eſſe æqualia. </
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xml:space
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">Nam ſi ſint inæqualia,
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alterum ipſorum, vt puta AHBCGA altero AHBE minus erit, & </
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<
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ſpacium V
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; </
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<
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">quo poſito circumſcribatur, vti nuper docuimus, trilineo AHB
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CGA figura ex parallelogrammis SC, TN, VO, HP, &</
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<
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trilineum ſit minor magnitudine V
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. </
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<
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">quapropter talis figura adhuc minor erit
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trilinco AEBHA, cui circumſcribatur, item per eaſdem lineas ipſi CB æqui-
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diſtantes, figura ex totidem parallelogrammis EY, 1Z, 2&</
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talem circumſcriptam, alteri circumſcriptæ ABD 567, &</
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vtraq; </
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ſtet vtrunq; </
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">(parallelogramma enim EY, BD, ſunt inter eaſdem pa-
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rallelas, & </
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tur parallelogrãmo Q5, cum inter eaſdem ſint parallelas, & </
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baſibus IQ, QN, & </
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roll. 13. h.</
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nor trilineo AEBHA, vt modò oſtendimus, ergo & </
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&</
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tum fuit.</
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