Cavalieri, Buonaventura, Geometria indivisibilibvs continvorvm : noua quadam ratione promota

Table of contents

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[131.] THEOREMA XXXVII. PROPOS. XL.
[132.] SCHOLIVM.
[133.] THEOREMA XXXVIII. PROPOS. XLI.
[134.] THEOREMA XXXIX PROPOS. XLII.
[135.] THEOREMA XL. PROPOS. XLIII.
[136.] THEOREMA XLI. PROPOS. XLIV.
[137.] THEOREMA XLII. PROPOS. XLV.
[138.] THEOREMA XLIII. PROPOS. XLVI.
[139.] THEOREMA XLIV. PROPOS. XLVII.
[140.] COROLLARIVM.
[141.] SCHOLIVM.
[142.] LEMMA.
[143.] COROLLARIVM.
[144.] THEOREMA XLV. PROPOS. XLVIII.
[145.] COROLLARIVM.
[146.] THEOREMA XLVI. PROPOS. XLIX.
[147.] THEOREMA XLVII. PROPOS. L:
[148.] COROLLARIVM I.
[149.] COROLLARIVM II.
[150.] SCHOLIVM.
[151.] Finis Primi Libri.
[152.] CAVALER II LIBER SECVNDVS.
[153.] DIFINITIONES. I.
[154.] COROLLARIVM.
[155.] II.
[156.] COROLLARIVM.
[157.] III.
[158.] COROLLARIVM.
[159.] IV.
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11292GEOMETRIÆ& . Modòetiam ſi ad illa puncta non terminentur dico tamen, ls,
ad
, E4, eſſe vt, 47, ad, &
, etenim, ls, ad, 47, eſt vt, AC,
ad
, FK, ideſt vt, LO, ad, uY, vel vt, E4, ad, &
, vt probatum
eſt
, ergo permutando, ls, ad, E4, erit vt, 47, ad, &
, quod o-
ſtendere
oportebat.
_E_T quoniam probatum eſt, l s, ad, 4 7, eſſe vt, E 4, ad, & , ſeu
vt
, LO, ad, u γ, vt autem, LO, ad, u γ, ita duæ homologæ, QP,
ad
, 83, ideò duæ homologæ, ls, 47, ſunt inter ſe, vt duæ homologæ,
QP
, 8R, &
cum oppoſitæ tangentes, DL, dO, pu, g γ, ductæ ſint vt-
cumque
, licet ad eundem angulum cx eadem parte cum ipſis, E4, &
,
ideò
duæhomologæ, ls, 4 7, erunt vt quæcumq;
aliæ duæ homologæ qui-
buſuis
regulis aſſimptæ, vel vt ecrum incidentes, immo &
ipſæ inciden-
tes
, crunt inter ſe, vt quæuis aliæ duæ incidentes, oſtenſum.
n. eſt, A
C
, ad, FK, eſſe vt, LO, ad, u γ.

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