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# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 30
# Folio 59v, page id 00068124:0118
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 58r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068124&page=118
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 55 lines, status machine
# Lines: 55 recognised, mean confidence 0.68
# 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.

xix.
a
2 xx +9
i
dux x 200
X + 266xx 46
e auaa
d
266 ad ep
6b x
taa x
1s
bx
x21 4
1ba + haas + ∞ 49
b2x9.
a x
 a  car -g5 + 29
e + 9
n
imo hec appans difficultas
n CF H GC, adeoque ejus quad
quadrato alterius subtrat
potest
to
unquaque linca
sitaque in
x seca
sux
posse in duas pare
at
epretms
X s 
si b, majoi quam a
Pa+S +at
AB,) X peni pote aequalis AC. AD. angulus DAB rectus. Ait
posito puncto Za quo incipit X,  et sumendam proponi. X ad partes
B, fore A tunc posita AB AX, fore AC∞ - X.. Ergo
rectangitum CAB, fore = X nempe AC in AB. Engo Jamm recta
quad ratum  AD aequale rectangulo CAB ex natura circuli Ergo DA p. X,
feripos test multiplicave, st DAB XY - 1. itaque Y- 1. Significat magnitudinnem quae quantur extr.
adu hoc reserri
s
lineam CAB in perpeniculari AD sumendam. Et notam esse problematis male a
cum sit BC. formati, ut enim aliquando quaentur ut quantitas quaesita sumatur versus AB, cum sumi
3FX. et AEK.
0
i esse contradictionem Addi enim vel subtrahi est in unam magnitudinem
debent verseris
co quis fertu addendae  ex
eere contradictione non ex magnitudine seu
aleru se Anc conjungi posse, quod est contra hypothesum
a enbus partau lao ner viticalas an ded licea sormne s, e Aen
n
additione