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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 112, page id 175905688X:0134
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=134
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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
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LLORTMONDL DE BEAUNE
bentur, de ipla has species multiplicans aut diridens caldem
non mulel. Si vero ibidem non sic expressa, poteritcum quidem
riuItuF.
1T2
Aquationis terminis xe que muleas liceras cribuere tenemur: cum
unicas illas ubique suxplen pen, ubi numero pauciores ha-
Tubimerlisi. Oua de re plumu eepla I. hac Ccometria repe-
LLB LALARODEIS DERADTCUN
LAACTEONE.
ETandoquidem linea
LLM primae Agurx
tangit circulum LOP
rectangulum OMP X-
quatus quadrato Cx L. MI.
Sunc aurem bina rectan-
Suta MIOPQEOMD ~-
Qualia quadratO Cx OMI.
Aquale isitur crit rectan-
M culum MOP, una cum
Quadrato Cx L MI, qua-
drato ex OM; hoc est, crit Z: ∞ aZ F b, ac per conseguens
∞ = a- V = a L b: CUI O N XGUETUF = a, _ QuadFAEUM Cx
NM eancundem raleat acque duo quadrata ex NL de L. M, hoc
clt, = a ec b. Id quod primo erat demonstrandum.
Deinde rectangulum OP M a quadratum ex P MI aqualia si-
mul lune rectangulo OMIP. FA autem rectangulum OMP X-
quale quadrato ex L.M. Ouadratum itaque ex PM aequale eA
quadrato ex L. M, minus rectangulo O PM: hoc CA, CrIt v ∞
ay + bb, ac proinde y ∞ -- = a ] V = a ]- b=. quia, cim
NM aequatur V = a L b, uE lupra, ac ex ipsa auFertuF NP seu
a relinguitur MP Icu y.
IN SE CUND AM FTGURAM DE R A B TCUM
P X T R A C TTONE. PAC. 7.
 Educemus hanc fguram ad sequentem, in qua ND Sc HIC
 sunc parallelae de aequales ip(i L. M. Ouibus politis, quoniam
L. Mt can-
Lt
pecta (
Ua Cet G
hocell, ex
DRagudl
agudle
leu DI ac
eredlem D
qilus pate
leundo hure
aquuio 7
Met
erat den
Algebrau
aatuous poitat
Tollume
CaDeDIUT
Iu quacta