# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/898203430:0150
# Permalink to this reading: https://leibnizlegible.com/page/898203430:0150?run=74
# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 122, page id 898203430:0150
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=150
# Source image: https://digitale-sammlungen.gwlb.de/content/898203430/jpgs/default/00000150.jpg
# 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.
# 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.

VINOENTII VINTANT DE LOCIS SOLNDIS
uerlum (nam quum siC; ex Hpotheh L aaaM erenia laterum
ad rectum, erit EO ad EO cum OI, sivc ad FK ve differentia ad crans-
uextum) D atum Hyperbolarum convexa esse Fimites Ordinationis
ramorun ex data orioie ues cemmrum, de focum Lilliplis datae ni
Ducatur verricalis tangens alt D LaetaleS TCCANS in 7, 8, atque in
quarum rectum latus habeat transuersum P N eam rationem quam prae.
dicta EO ad PK, siic quam differencia laterum FIlipSs ad Cuum eranf.
tol.
23. secun, Fingulis pariter siguris crisatur ex A tansenti AC normalis A3.
als) etic quoque convertenda, et componenda L. IL ad H O, ve idem
notra Di. Fric icaque FO ad O3 veatransuertum lacus F Ilipsis ad rectum, sed cum
vinaco in sIC F.O ad F K ve ditetCMId LaleUM au TaMUCrIUIM (ver nuper olten-
erantuertum ad iccct. Guate F. O adt O3 est ve F P ad RO, & permu.
tando FO ad L K, seu ve disterentis lacerum ad crantuertum, Ita erit
3O ad OK, vel sumpta communi alticudine OC, ica eric rectangulum.
3OC ad rectangulum ROC, vel ve quadratum AO (quod est aequale
rectansulo 3OC7 in criangulo rectansulo 3 AC) ad rectangulum idem.
KOC; Sed ratio quadrati AO ad rCCTAnGUIUM RO C COMPONIEIF ex Fa
tione lincxe AO ad OC, seu IL ad L A C in similibus rriangulis AOC,
TL A) _ ex ratione AO ad OK, TCU KL ad L A, ob aequalicatem, qua
rationes conticiune rationem rectanguti X L. I ad quadratum L A; ditte.
rentia isitur laterum Fllipls ad cransuerlum est ve rectangulum K L. I ad
Shuius, Quadraiuum L. A; sed quu (IE NK media geometrica inter LK, KL, 8
K P aequulis medix R H, rectangulum P L. N aequale est b recrangulo
KL 13