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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 119, page id 175905688X:0141
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=141
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000141.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine
# Lines: 43 recognised, mean confidence 0.72
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

contibe
drectae
ettecen
cora
e
eil
2
roinde,
C
solem cu
B(CedBI
NN O E A B R E V H B
dexpia
em A 
d
quandoquidem haec tractioa qualis est ac ipsi = X responder. POr-
ro, quoniam rectus eA anguluS AR L, CxiE qUadFAEUI CX AL
aequalequadratis ex A R de R L Cimul sumpris. Ilinc cum qua-
dratUIM Cx AR GIEX=, _E QuAdTAFIMI CX RL = N, AL erit V E X
Teux V=; id quod ae quale supponimus ip(I = X, dC = x  ip(I = x2.
IEa uE V S sIc a, _ V 4 (IEZ, _ TCIEP,  4 Cit m. Quibus politis,
terminus aom
202 Qui inveniendo cenero inserric, erit V e bb, cum
am, hoc est, 4 V 5, raleat V 50; _ 2pZ, hoc eA, 2V 4 p, Va-
Leat V 16; _ 0 sic aequalis ip(I b; _ b V d valeat V de bb, hoc
est, Y5bb. Quod quidem cenerum sumendum est a puncto A
versusM, quandoquidem Hyperbola est, de haberur. L bx, hoc
est, FOX, juxta pa8. 30. Latus rectum hic est.=, hoc CA, bV =
Seu V = bb. Vnde latus crantrertum Fc om
Quoniam OpOrtCL,
UE PZ = Sic ad a m, SICnE= ad latus eranlverlum, quod idcirco, (uE
diximus,) eric eom
.id quod Facic b Y =, hoc ett, V20bb. AC
proinde
20
cciperet
BL,
Pa 0t
ACM X
el
Den
Itad
Ca XLC