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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 106, page id 1047377675:0122
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1047377675&page=122
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.87
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

106
FiO, nempe VE 3DO O2ad ADP  6PO, F 2V.
duins.
PHOP. 57. ZTYEORP M A.
DOlieo parallelopipedo a cylindrico habere alcicudine
 AR _ reliquis re in ancecedence; ( cylindricus rectus
luper AC IK secetur aplano ad balem Peminorinali ee cam
seconre in recta AB. Dico parallelopipedu super ABIK eAC
ad inferiorem eruncum cxlindrici super AC IK in racione
Poto 204d9. Sic quadracum AM TI cum inlcripea linca A
R Pealisnacurae, ve (Cumpro ad libicum puncto F de ducta
recta D E O ip(I A R perpendiculari _ lineam AR T sCCANEC
in punctoR, icem ducto per punctum F plano ip( AR nOr-
mali, cuiusincerfectio cum erunco inferiore es rectangulum
LAEC) AE AE ad RE SCUE BA adCE. Pacer ex constructio
ne rationem AE adRE esse mulciplicatam rationis AK ad A
L in racione PadO, ee componendos rario AK adR F, HOC
eltracio RE adR, CAmulciplicaca rationis AK ad AF in Pa
tione P.F adO; _ id eo quadracum AMI TK cs ad Aguram
ARTKVED t 2 Qad G, AE VE ABIR aa AM TKica LK vel AB
DaTK (CW AK, & ideo rectangulum ABI K cl ad fguram Ak
IKin rarione compolita exratione P f. 222dQ ee exratio.
ne ABad AK. Quoniam AE. CA adR E VEB A ad C B, Cric re.
atansulum AF in C E nEmPC A E C. L. aequale rectansulo A B
in REs cum que hoc semper har, erit cylindricus super ARTI
habens alcirudinem AB aequale inferiori crunco cylindrici
super ACIK; e ideo parallelopipedum super ABIK cum alei
cudine AB eCt ad cylindricum luper AR Y X lcu truncum in
Feriorem cylindrici super ACIR vE balis ABIK ad basem AA
TK, hoc est in rarione compolira ex rarione PrF. 29 adO d
ex ratione AB ad AK, ac parallelopipedum super ABI K cum
alcirudine AB CC ad parullelopipe du super ABIK cu alcicudi-
HC AK VE AB ad AK; de proinde parallelopipedu super ABI K
cum alritudine AK est ad truncum inferiorem exlindrici su.
DEF
d
V