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# Title: [Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ (shelfmark Ms IV, 377a)
# Folio 122, page id 1047377675:0138
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 45 lines, status machine
# Lines: 45 recognised, mean confidence 0.80
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RNOMvED ad V2
Da
V  2P 
el
D2. +.2PO
Norandum demonstracionem 65 e 66huius esse maximé
vnivertalem, Ced praelo currence non memini illam debito
Locoinserere.
Hric examinauimus eria spiralium genera; quorum primu
idem cA cum illis duobus, quae mensurauit R. P. See phanUS
de Angelis in libro luo de Spiralibus ec in fine lib. 5. de pa-
rabolis; secundum quoque idem est cum iltis duobus, quae
dimensus est in libro de Spiralibus inversis; cercium eriam
excositauic idem Machematicus Pagacissimus, illudque mihi
nuper communicauit.
Summopere nocandum omnem figurum porte concipi
licue inuolutam, ee mechodo notra invenietur eadem cuo,
luca; hinc enim non parum augmencerur geometria.
AdeoFercilis cAhaec nostra mechodus, ve disticile fere AE
aliquid proponere illi omnino imperrium; quod uc experia
mux, Coluantur duo illa problemata quae proposuie RenaEUS
Francilcus Slulius in prop. 8. ac infinieis hrperbolis R. P.
Scephani de Angelis. Sit AB, b; BD, a; sicque sccundum ce-
norem quaestionis, veb. ad ba = a ica a ad ba3 = at quadra
12
cum rectae DC, de ideo (ex huius 54) summa omnium qua
dracorum ab inAnicis DC eric bz, ac lumma cocide qua cruco
20
rum reCta AB CA b3; cum ieaque hae quadrREOTUMI sUMML
sine duplae cruncorum inferiorum, qui secaneur in cylindri
eisrectis super ACB, AE FB, a plano baCi leminormali, crit
(exhuius, 23) uc b3 adb3 nempe re 20ad x, ica cylindrus ex
20
rOTAEIONE AEFB circa AB ad lolidum rocundum ex rocario
neACB circa eandem AB. Sic secundum propolicum vein
eiu sdem de intinitistyperbolis prop. 10. lrque racio AB ad
C
d
I
NC
eX
de
er
CC
EI