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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 89, page id 898203430:0281
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=281
# Source image: https://digitale-sammlungen.gwlb.de/content/898203430/jpgs/default/00000281.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 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.

VARTAR: DISPOSTTTONVM LIMET. LIBER M.
Ouod B F sie media Arichmetica, liguet ex PrOP. XXVII. huiuS: quo
niam DF parallela ad A C ab cd
distat per E D dimidium AC.
Ouod B C in semicirculo sie
media Geometrica, patet ex lexio
EleMeNCOTUM.
Ouod vero BFT Sc Parmonica,
COnStAE Cx PFOP. aXiii. Buius. TUI
Cta enim DC secance BFI in L est
BEI media Harmonica inter IB,
BL, sed IB aequatur BA, quum
siE DE aequalis E A, atque L B
requatur BC, quum sic D L aequalis
FC, ergo _ BE erit media Harmonica incer datas AB, BC.
SC
Enuo manifectum fr tres iplas medias BF, BC, BHI esse inter le in ca-
dem coninua ratione. Nam quadratum DF. ad CB, vel F B ad
BC eAt, ob lemicirculum, ve rectanoulum AF: C ad rectanoulum ABC
verunque verique aequale; sed rectangulum AF C ad A B C eAt, ob Par2-
bolam, re linea D F ad HB, vel ve FB ad BFI; quare quiiI sic quadra
tum peimae FB ad quadratum secundae BC ve prima FB ad IhHI, caedem
B F, BC, B HI crun in concinua ratione Gcometrica. Ouod erat _C.
Superius vero Problema per Locos planos (IC
T F R.
Letbi cddilio L 2d3 ade eca setdit est Uet bbtlict seset PB
sita. etbo utborbo mblto tonne.
Vver toram AC, Hal SCMMCMCMUS ADC, CUIUS CCMTHIM L, MM quo HC
D BD ad A C perpendicularis, de iunsatUF P. D, ad quam ex B de-
mittatur perpendicularis BF. DICOEreS FD, DB, DF eNe guaeITaS.
Est enim Fadius F D dimidium diamerri A C, seu aequalis dimidio Cum-
Ma extremarum AB, BC: quare I D est media Arichmetica inter da
tas AB, BC. BD vero est media Geoinetrica inter easdem, ob semicir-
CuIUI.
M m