# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/898203430:0277
# Permalink to this reading: https://leibnizlegible.com/page/898203430:0277?run=74
# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 85, page id 898203430:0277
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=277
# Source image: https://digitale-sammlungen.gwlb.de/content/898203430/jpgs/default/00000277.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine
# Lines: 40 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.
# 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.

VARTAR: DISPOSTTIONVM LIMMIT. LIBER MII.
L. E MI M A IV. PRO P. XXXIII
lfuerit quaecunque Parabola portio ABC, cuius ba-
Dsis AC; diameter BD, triangulum vero inscriptum
sit ABC, cuius alterum laterum, et AB, oicunqué pron
ductum sit ad F, sitque ipsi BD quaelibet aequidistans
FF productam in F. Parabolam in LI, C5 reliquum la
tus BC. secans in C. Dico LHI esse mediam harmoni-
cam inter EF, F.
DER B, H, agantu BI, HL Basi A C parallele.
Tam, EF ad BD es VE FA ad AD, vel vE rectangUUM L A D ad
quadratum A D, de BD ad F HL ve 2 rectangulum ADC, vel quadratumq ex vicims
AD ad rcetanculum A I C, ervO
FF ad FII CA ve rectangulUIM F AD
ad AF C, vel ve linea AD ad FC,
vel ve DC 3d CF, vel ve BD ad
F G, vel ve IF 2d FC,, de Per Con-
vertionem rationis F F. ad F II VE FI
2d IC, vel quadratum F F ad F IX
ve quadratum FT ad IC, vel ve qua-
dratum C B ad BC,, vel ve quadra-
tUm CD ad DF, vel ad III, vel b ve
linea BL ad L D, vel ve linea FI ad
III: Crgo, quum sic quadracum FP ad
IC ve linea FI ad III, CTUNE ELCS F I
ST, FTI in continua, cademque ra-
tione; ideoque ve F I ad IC, iEa F C
ad GFI; sed FT ad LG est VE FF ad F FI, ve superius ostendimus, ergo
FC ad CHI est ve F F ad F EI, _ permucando F C ad F F ve C II ad
TIE; quare F F est media harmonica intex F F, FG. Ouod Crat _C.
PROTOSTLLD XXXIV.
quarci PoP.
vel
alio ab aati
OAensIS.
e du prim
Cuomediarum LLarimonicarum intor partes aata I
nec (8 ad ipsam ordinatarum, est ad concauum Pa
rabolae, crius bases sit ipsa dara, diameter vero data diu
midio sit aequalis.