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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 235r, page id 00068194:0469
# Scan: The same scan as fol. 234v (00068194:0468), where its text is given.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068194&page=469
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 23 lines, status machine
# Lines: 23 recognised, mean confidence 0.86
# 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.

R3
ex defin
Ratio A ad B eadem Bs est (ae Euclidi)
rationi L ad M. quando A existente
majore quam Y etiam necessari motin
ex  major quam A. B: Loc mnihi
Er
ponendo A+B,: B:: L+M: L. et dividendo si AFB; B:: L +M g. M euit A: B = L M
tranum a uagnitudine ad similco  plexa
A: B:: L: M. Ergo alternando A: L:: B. M et con ertendo B: A:: M: L et com
era, ert ebdem rali
Si AFB, : B:: L+M,: M etram erit AEB+A:: erM,: L
hip. P. L. M. A  B. R. M. 5 eut A. R. : t. 5i1 . . P: ml. Su  6
tribus lineis datis invenire Chto quartam
proportionalem per cirentum aveiae ham
line alu munu. sumatur sint lineae Datae B, B, C
sit dali recta in desimiti
ex puncto sumto
sumantur DE aeq. A, et dF aeq. B
et _d ponatur dG aeg. C per
puncte E.F.G. descriontur ciltulus ui,
doducta Gd in A occurrens vabit
quallam proportionalem quaesitam