# Leibniz Legible — https://leibnizlegible.com
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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 92, page id 898203430:0284
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=284
# Source image: https://digitale-sammlungen.gwlb.de/content/898203430/jpgs/default/00000284.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 32 lines, status machine
# Lines: 32 recognised, mean confidence 0.88
# 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.

ate vir L SOLII
P ROBL.
R O P.
Atis tribus mediis drithncl acti
LLarmonica inter ienotas exmus, s a.
iSTO data A media Arichmetica, B Geometrica, de C Hlarmonica,
inter extremas achuC ignOtaS, ec oporreat has invenire.
SuIatuE DF aequalis A, eique in directum P. F aequalis C.
Ec quoniam A ponitur media.
Arichmerica, ipla erie maior C
media HTarmonica, hoc eA D F.
maior LF, quare dua D L, Ma.
iores tota D F. Super quam idco
deleribi pocerit triangulum aequi
crure D CF, cuius verunque latus
DO, FO aequale s ip(I DF; de
CeNErO C ad incervallum CD, vel C F AaE CirculuS DFFI, in quo iun-
eta C F producatur vique ad peripheriam in HI, I. Dico duas HIF, FF
esse extremas qualItaS.
Hoc vero Patis manifestum est ex superiori Corollario, vel ex COnStrU.
ctione, ee demonstratione praecedentis Problematis.
ei et ti
Y
Ocerune igitur duabus gubullibet c cribus mediis datis, ionOtX extre
Ilae tacile inueniri Mdenta enim terria, ex datis, quae deficit, per
invencientem vel Mcca proportionalis inter datas, vel extremae post
datas, habebuntur ires mediae Arithmetica, Geometrica, de Mlarmonica;
adeoque his datis, extrema duarum datarum medium Locum occupantium
reperiri poterune, iuxta constructionem superiorem.
Ad solutionem sequentis Problematis, circa humlmodi Medietates praei
mitcere oporcer pronimum
LFM.