Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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GEO METRIÆ
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dicto anulo @tricto) cui adijciatur in directum, HI, ipſi, DC, æqua
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lis, deinde tota, FI, bifariam diuidatur in, G, & </
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<
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">producta, DC,
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verſus, C, indefinitè in ea ſumatur, AD, æqualis ipſi, GI, & </
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ſciſla ab eadem ad punctum, A, ipſa, AR, eidem, CD, ęquali, in-
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telligatur circa, AR, diametrum deſcriptus circulus, AR, ęqualis,
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CD. </
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latum circularem
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deſcriptum per, A
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R, reuolutum cir-
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ca, MN, in tali ſi-
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tu, cylindro, E, ę-
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qualem eſſe. </
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<
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ſtrictus anulus de-
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ſeriptus à, CD, ad
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cylindrum, E, eſt
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vt, DC, ad, FH, & </
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quia, GI, eſt æqualis ipſi, AD, &</
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">, CD, ipſi, HI, erit, GH, æqualis
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ipſi, AC, ergo vt, DC, ad, FH, ita eſt eadem, DC, ad, IGH, vel ad,
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DAC, ſiue, AR, ad, ADR, (nam compoſita ex, AD, DR, eſt æ-
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">Elicitur ex
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dictis in
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Corol. 29.
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34. lib. 3.
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Sect. 2. fi
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ea circulis
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applicẽtur.</
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qualis compoſitæ ex, DA, AC,) eſt autem vt, AR, ad compoſitã
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ex, AD, DR, ita anulus ſtrictus genitus ex circulo, CD, ad anu lũ
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latum genitum ex circulo, AR, ergo anulus ſtrictus genitus ex cir-
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culo, CD, ad anulum latum genitum ex circulo, AR, erit, vt idem
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anulus ſtrictus ad cylindrum, E, ergo anulus latus genitus ex circu-
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lo dato, AR, ſiue, CD, in tali ſitu, æqualis erit cylindro, E. </
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uentum ergo eſt, quod opus erat.</
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ctos anulos in dataratione ad datum cylindrum inuenire poſſe, & </
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ſubinde etiam in data ratione ad quodcunq; </
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">_H_Abetur injuper ſi in recta, DA, indefinitè producta, continuen-
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tur à puncto, D, æquales circulorum diametri; </
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@ulis per reuolutionem circa, MN, deinceps genitos anulos ſeſe ha-
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bere, vt numeros impares ab vnitate continuò progredientes. </
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ſi in eadem recta linea perpendiculari ipſi, MN, Vt in eadem, DA, </
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