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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 240, page id 175905688X:0262
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=262
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 54 lines, status machine
# Lines: 54 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.

24C
11.
ER ANIOES OIT a SCHOOFEH
OB: eric C B X
acc
Ac proinde cum A D mulciplicata per D B
ac3
producatab, at F. C mulciplicata per C B producat.
G. CriEra
eio crianguli AB C ad triangulum P. B F quae a b 2d a PCub3
adc3) Flaec dutem cum eadem sic rationi, quam inter se habent
Parabola ABC _ F B F (siquidem Parabola qua libet erianguli
sibi inscripei maximi est selquitertia): sequitur rationem porrio.
nis A F FC ad ParabOlam F B F candem tOrC quaI B3 = c3 ad 53.
Porro cum eadem lic litus racio centri L in Parabola F B F, qua
ceneri LI iH ParabOl2 ABC: eric D B seu a ad BEI sCu X, SICUE
=dd BFCC~
GBsCr 
TTIX
6b 111
b∞
65. Dua subducta ex B HI seux, relinguicur
ix Denique cum TFI ad FLK, hoc CA, bBX =CCX
dr eindem habere debeat racionem, quam portio A F F C ad
V’arabolam F BF Peu b3 -c3ad03, tiet, abbreriando primum
d tertium terminum per b -s, ac deinde mulciplicando cxere.
moscum medios;
BC3∞  c4 X
bC3 X  C4 X
 ∞ b b y = bcy + CC y, vel
b+ + b3c. F bbC0 D Y. E quibus sIGUEE, INVENEO FL, centrO grari
tacis Parabolae A B C, ad inremenduim K, centrum gravicatis
portionis A L. tC, Faciendum esse, ut B HI seux sic ad FIK Ccuy,
ticut b +  b3c- F bbcc 2db65-Fc+; hoc est, inventis in ratione
AD ad FC quinque continue proporcionalibus, erie B FI ad
TIR, ut summa priorum erium ad summam duarum posteriorum.
Ubi demum, ad obcinendutm ipsum punctum FI, opuscancum est
concipere rectas AD _ F C esse aequales, hoc clt, b ∞C, ita uE
EOF coincidat cum AD C, quo catu d punctum l in punctum
IIcadet, _ R in D, lineague DII seu y aequalis Het Z X, hoc ettu
duabustertiis iplius HIB. Ouod iplum monstrat, secta diaetro
BD in 5 aequales parres, prolinea BH seu a tunc carundem su-
mendas esse tres. Id quod aliter quoque a nobis est ostensum in
Exercicationibus nostris Machemaricis libr. 5. Pectione 19.
Eodem modo hin Conoide Parabolico A B C d ejuldem por-
cione AF F C centra graritatum II d K inrenire relimus, Opor.
cet, iildem quae supra politis, quaerere rationem, qua est inter
Conum ABC ee Conum FB F: invenieturque ut b = ad 0t. Flac
enim
AI
e
IM
IIMB
si