Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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LIBER VII.
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<
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">antacedens, aliter, quoad priorem partem,
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oſtenſa.</
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345
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<
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<
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">figurę planę ęqualiter analogę iuxta regulã, GM,
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ipſę, BHIC, DQK, quarum oppoſitę tangentes, AF, GM, regula pa-
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riter, GM, parallelarũ, autẽ ipſi, GM, quotcumque portiones in vna-
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que dictarum figurarum integrę ſint, ſiue non. </
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<
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">Dico eaſdem ęqua-
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les eſſe. </
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<
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">Incidat ergo parallelis, AF, GM, quomodocumque recta
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linea, EL, in eiſdem terminata, moueatur autem, GM, verſus, A
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F, ſemper eidem, AF, ęquidiſtanter donec illi congruerit, interim
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autem vnum punctum moueatur in eadem, GM, ſic mota, deſcri-
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bens ambitum, I βΕ, figurę ęqualiter analogę ipſi, DQK, & </
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<
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">aliud
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punctum in eadem motum ad aliam partem, EL, deſcribat ambi-
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turn figurę, EYL, ęqualiter a@ alogę ipſi, BHIC, in quibus quidem
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ſic deſcriptis figuris conceptę ipſi, GM, parallelarum portiones
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quęcumque integrę ſint. </
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<
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">Erit ergo figura, @ βL, ęqualis figurę, E
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YL, eſto autem quod in figura, DQK, conceptę portiones paral-
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lelarum ipſi, GM, non omnes ſint integrę, ſed aliquę fractę per in-
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teriorem ambitum, nempè, quę intercipiuntur parallelis, Q6, ΦΩ,
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">Ex antec.
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Lem.</
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in quibus habeantur duo figurę fruſta, 67RΩ, CΦR, in quorum
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tamen vnoquoque dictę parallelarum port ones integrę habean-
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tur, ſit autem in motu, GM, a quodam runcto deſcripta linea,
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& </
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">ΣΤ, eodem modo, quo delcripti
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fuerunt ambitus, @β@, EYL, g@ręinquam, 5&</
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">Σ @, ęqualiter ana-
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logę fruſto, 7R Ω@; </
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<
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">er tergorel@qu@ figura, 5Δ&</
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<
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ga ſrulto, QΦ@, cumtota, Τ ΔΣ ſit toti compoſito ex fruſti, QΦ
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R, 7R Ω6, ęqualiter analoga, & </
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<
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