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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 138, page id 898203430:0166
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=166
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 26 lines, status machine
# Lines: 26 recognised, mean confidence 0.87
# 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.
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# After the first blank line: the recognised lines in reading order, one per line.

MINCENTI VIVTAM DE LOCIS SOErDIS
e
summa lacerum ad rectum dacae Hyperbola, ctits pei conuerone alo-
niS OF ad FR vE EI F ad F B, _e permutando OF ad F H VE RF ad
EB, _e convertendo II P ad FO vi BF ad F K, d diuidendo HIO ad
OE VE BH ad R F, e permucando HIO ad BR vt OF ad PK, sed OF
ad F K est ve summa lacerum ad cransuerlum (quum, per convertionem.
rationis sit OF ad O K ve summa laterum ad rectum, ex constructione)
ergo ee HIO ad BK erit ve summa laterum ad transuertum.
Amplius, guuum sic 3 F 2d F. O vE OF. ad F K C veraque enim ratio
est ea quam summae lacerum ad cransuersum) de disterentix ipsarum con
rinue proporrionalium F. 3, F: O, F. K, Siuc 3 O, OK, erun in Ca
Insuper, guuM SIE FO ad OK ex constructiOnC, VEF H ad HB, nempe v
demratione cotarum, nempe ve lumma laterum ad eransivertum; Led tane quon
que rationem habet HO ad BKE, ve vicimo superiis octendimus; erg0 30
ad OK eA vE HO ad BH; ac propterea rectangulum sub extremis 30,
BK aequatur rectangulo sub mediis HO, OH. Ouod serua.
Vuclus, ex puncto pera  raeu det puto Aelit +L
recta 14.
Sectionis datae ABC ad transuersu, vel (ex constructione) ve transuer.
22. primi us axis P N oppoluatum Sectionum ad iplarum rectum latus, vel ve
reCTAHEHIMIS L 4 N de gudracum lemiordinatae 4, quumque sic HO
ad B R, ve rectangulum sub HO, BK ad gundracum BK erie rCCLAHBH.
lum
Fc quum superiis demonstracum sic HO ad BK este ve summa lacerum
OntCa