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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 135, page id 898203430:0163
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=163
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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.
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# After the first blank line: the recognised lines in reading order, one per line.

DRDIHATIONVM CONTC. LINITIBVSIIB. I.
ad eranluertum (est enim, ex Llypocheli L.O, ad OC ve lumma laicrum ad
rectum, quocirca per convertionem rationis LO ad F K est ve eadem
luimra ad cransuerlum.) Dico harum convexa esse Limites propolOS.
Jam, in singulis Aouris, tangens verticalis ad B lauctas secet in 7, 8,
ac supra iplarum alteram, nempe AC, erigatur perpendicularis A3.
Ert Iaque LO ad O3 ve 3 cransuersum dacae Hyperbola ad rectum; 2 ex 22. lib.
puncto R in eodem crianSANO CHCHLMIELO. LA itaque DunctO R FactO
cenio, t per velles IN, E Conterpaluu Sleciones oppolicae NO. PR,
quae tangentent Verticalem L. M secent in Q, R, d quae cales  d ipla-
cum exanluersum lacus P N ad rectum eam habeat racionei, uam prae-
dicta distantia L.  ad EK. sine quam summa lacetu cala Hrperbola
secundie
uinac. in
ApolI.
Sed quim siE ( ex FTypOrHCH) CO ad N n saua aerum ad rectum,
ek quoque Midendo F. IE ue l d cameu alt tecunes guale Le
ad OK (sumpta communi alticudine OG) est ve rectangulun 3OC ad
rectangulum ROO, vel re quadratum A O, quod iph rectangulo 3OC
est aequale, ad idem R OC; quadracum isitur AO ad rectangulum KO C
est ve summa lacerum ad rranluersum: ratio vero quadrari A O ad re-
Etangulum ROC, componitur ex ratione AO ad OC, SivC IL ad L A C in
similibus criangulis AOC, IL. A) et ex ratione AO ad OK. sue HEL
2dO2 eltme L K ad KO, ee permurando LiO ad Lik ve 3 adK,
sed EO ad OK ( ve paulo superius octendimus) eAt ve Cumma laterum ad
transCEIU, erzO St ZO ad OK est ve summa ad transuerlum; Sed 39