Cavalieri, Buonaventura
,
Geometria indivisibilibvs continvorvm : noua quadam ratione promota
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GEOMETRIÆ
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plana figurarum, oOS, spf, in rectis, BC, QR, quibus occur-
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rant, Oo, fs, productæ vt in punctis, B, Q, & </
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">iungantur, SB, p
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Q, eſto autem, quod plana figurarum, LHMP, YVZd, diuiſe-
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rint plana figurarum, oOS, sfp, producta in rectis, KN, ug, quę
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ab ipſis, BS, Qp, BO, Qf, ſecentur in, I, X, Ku, & </
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<
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">iungantur,
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LK, PI, Yu, dX. </
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">Quoniam ergo plana figurarum, HMPL, V
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ZdY, prędictas altitudines ſi-
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militer ad eandem partem di-
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uidentia, ſecant latera homo-
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loga, ao, Ts, ſimiliter ad
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eandem partem in punctis, L,
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">Ex Lem.
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ant.</
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Y, vt etiam, AG, T8, in, H
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V, erunt figurę, ALH, TY
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V, ad eandem partem ſecan-
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<
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">Ex Lem,
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3.</
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tium, HL, VY, conſtitutæ
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inter ſe ſimiles, & </
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<
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">earum late-
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ra homologa ipſę, HL, VY;
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</
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<
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">eodem modo oſtendemus ſi-
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miles eſſe ipſas, EALP, lT
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Yd, & </
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<
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">earum latera homolo-
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ga ipſas, LP, Yd, ſunt autem
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figuræ, AEPL, ALH, in-
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uicem ad eandem partem æ. </
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què inclinatæ, acipſæ, Tld
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Y, TYV, cum ſint in planis
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<
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xlink:label
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note-0084-03
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xlink:href
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xml:space
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">Ex Lem.
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1.</
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ſimilium figurarum, AESo,
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Tlps, AGOo, T8fs, quę
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xlink:label
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">Ex Lem.
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2.</
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ſunt inuicem ad eandem par-
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tem æquè inclinatę, ergo an-
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guli, HLP, VYd, homolo-
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gis lateribus contenti eruntę-
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quales, & </
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<
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">circa eoſdem latera
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erunt proportionalia. </
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<
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">Eodem
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modo oſtedemus cæteros an-
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gulos, LPM, YdZ, interſe,
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necnon, PMH, dZV, ac,
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MHL, ZVY, æquales eſ-
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ſe, & </
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<
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">circa æquales angulos
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latera exiſtere proportionalia,
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ergo figuræ, LHMP, YVZd, ſimiles erunt iuxta Euclidem, er-
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<
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">Defin. 1.
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Sex. El.</
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go etiam ſimiles erunt iuxta definit. </
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