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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 116, page id 898203430:0308
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=308
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.83
# 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.

116
Nam primus (7 ad cerrium s. est, uc disserentia incer primum
17, ec medium inveneum 7 2, quae elt 9 3 ad difterenciam, in-
ter medium inventum 7 2, dc tertiuni 5, quae est 2 8.
Veluri oltendie ordo seguenris regula, 17 2d5, ut 9 2 ad 25:
sive ut 102 ad 30, qui numeri sune sextupli dacorum 17, de 5.
uido oli
isile i
a 1
20 BCA e
SC IIOL IV M
INCKNTN VIVLANE ADDEN. LIB. III
2151
In cireulo ADC R AE dIAMeteE A C sC-
eta in B, e in C7; C quibus punctis, in
Pemicirculo superiori, sine applicacae rectae
BD, CETI, quarum gnaquae que sic aequalis
radio ipsius circuli, ec in directum produ-
eta in lemicirculo inferiori Der B L, e
+L
Jam per ProPOsic. 37. Libei certiihuius,
BF est media HarMONICA INFeF PaFTCS A B,
BC; e CL est media harmonica inter par-
LeS AC, CC
Dico, has medias harmonicas BF, CEL esse inter le, UE reclAH
gula ABC, ACFC, sub partibus incesrancibus camdem AC ab ip.
iis mediis divilam.
Ilis datis, e constructis: media harmonica BL. incer Partes AB,
BC inceorantes datam AC ad mediam harmonicam CFL inter Par-
TeS ACF, C C incegrances camdem AC, est. (sumpris aequalibus
alcicudinibus BD, CIL) uc rectangulum _BD ad rectangulum
LGTI; vel (ob circulum) sumpeis aequalibus spaciis, ut rectangu-
Ium ABC ad rectansulum ACFC; sive ut sunc rectangula parcium
inceorantium camdem daram AC. ab ipsis mediis harmonicis diri-
lam. Ou0d eraC demonttrandum.
e ee a