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# Title: Philosophical Principles Of Natural Religion (shelfmark Leibn. Marg. 53)
# Folio 43, page id 797370323:0483
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797370323&page=483
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 55 lines, status machine
# Lines: 55 recognised, mean confidence 0.80
# 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.

su
chen che
3e
11nd olente
chacicho.
iptotes, ot
AB 
nd G
duppol.
eC, WhaF
OE chele
8C vere
ninfinite,
le llyper-
DOnC 2
ne Series
ppollonian
Number
a votrole
te um.
 svibex
satural V
Dec ottros; che area ol che Fyperbola,
uliole Equation iS y X = 1 oE an infinite
umber oE 3S; buchere che infinite Dum-
ber ot equal pares, oE which che drea oF chis
Curde consicts, must be muchi preacer ehan
etre infonice umber ot equal parts, ot vrhich
che former ero consilts, to exhraust che
Wrhole Area ot che simptorick Space, For che
wrhole space in chis, is greacer chan ehe
whole in cicher ot che ocher cWO, a5 every
Body knous; (o chac chouph the Parts BC
lels, the sum must be more, as ChalI be
ascervards Thevn.
3ZF.
110
a F perboloid, chac Chall wich ehe asempioce
AB C. X Suppolins che lact Perm
orly c 1, lec che Expression oF che siven
FEperbola, vrtrich concains wich che A.
simpiote, dBC, che siven infinite Space,
Bey= X n P et che Mulciple oc Sub.
multiple required, be a, chen ies plain chae
nF
p
muse Be equal co a, and consequendy
lets
aiinsor Exemple, lec che siven F.
quation be y = =, and consequenelys che
siren
May comprohond a pontion f an
Anda to hoso dgnal parle mag bd Muc.
 or submultioco lo lhoso f Anothor
ibla Hyp0r 60 la