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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 214, page id 175905688X:0236
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=236
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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 0.77
# 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.

224
LR AN CESCF a SCHOOTEH.
buntur, in dato angulo ad diamerrum F. D adplicentur, opus
tancum erir angulum CD F sire L: D HI dato aequalem efficere,
incelligendo ad id circulum A C C HI moreri circa AC, tan
quam axem, eritque Problemari ex omni parte lacistactum.:
Vide 2. Similiter ad inveniendum Conum AB C, e in eo lectionem
_3. Hig. OF F II, quae sic vel Hyperbola rel Fillipsis, cujus latus rectum
(IE ∞ V
aa
aa eetranlrerlum  aaoomm, +aams
PPZ2
facio acq ∞ N 002Z, 4mp Z Z, 8 4 ∞ V aaoomm, + a m3.
6b
a a
aa
PPZE
Hloc est, altumprishorum quadratis, erix a a c544  0022 = 4m P L. 2
b4
et 94 ∞ anoomm. + +aamse, Adeoque si in cermino aaccqqe
PP22
DEC
44 hic numerus substituatur, habebitur atcco omm. = + at CCm3 P
b+DPZ2
0022 = +mp 22. HIoc est, mulciplicato per crucem, exie
aCC0Omm. = + a CCM 3 p ∞ b+ 00PPZ + = 4 b + mp 3 Z+: dfic,
si utrinque Per 0 oP p Z + + 4 m p3 Z+ dividatur,
ab cenomm + +abCCm3 P C a cemm
00pPZ+ + 4mp324
pez, vb +. Unde, extratendo
uerobique radicem biguadratam, invenitur Va3 em ∞ b. Hinc
alsumpris ad libitum duabus lineis AM e MIC, ii(que in dire-
Etum lcu in unam lineam politis, quarum major A M SIE D a, &
minor M C ∞c, duco ex M in angulo quocunque rectam M. B
2
1a3cm
jungoque B A ex BC; ita ut habeatur eriangulun
ver axem ABC, cujus balis A C diametrum circuli referat, oui
Conibalis existie, e punctum B verticem ipsius Coni. Deinde
producta B C, ad Lyperbolam obcinendam, incer angulum ABD
proueraque ligura aptanda erit recta F.D D Vaoomm, +aami
DF
ita uc ipla parallela sic lineae B MI, (quod Facile eAt,) continuataque
OCCUTrAE rectA A M in R. Ouibus sic Poliis, Si per R in plano
balis hujus Coniip(i A M ad rectos angulos ducatur C, FI, atque
per rectas C L, R E. sectio insticuatur, taciens in superticie conica
curram lineam PP: erit haec ipla Iyperbola rel Fllipsis quaelitas
hoc est, cujus rectum latus eAt ∞ V 002 2 + 2m p Z 2
2
a trantrer.
s
sue
um
n