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# Title: Synopsis Geometrica (shelfmarks Leibn. Marg. 7,1; ZEN Leibn. Marg. 7,1)
# Folio 213, page id 797939695:0233
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797939695&page=233
# Source image: https://digitale-sammlungen.gwlb.de/content/797939695/jpgs/default/00000233.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine
# Lines: 50 recognised, mean confidence 0.77
# 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.

legp
d1D82
Crddul
V
CATeSI
voluol
L. EI
ulori
C6,
iphen
3 leui
3P
Pune
L3V
peripti
T Fia
8
phaer
enea
H17 PIB
DOrTion
Geometrica.
portionlis AlEePI RNVS, _ R, (IC ad R
S, VERYad RN. Sincquespplicat e aXi Y
R homologa applicatis NR; CrIE RNV
SadR Zuy in compolitI ex ratiOnCRS
ad Ry, d RN ad RY, id est, in duplica-
ea RSad Ry. eric aUCeI R Y u 2 ad Cu-
perhciem Hlemilphaerii lubradio Ry, Ve
RNVS ad superticiem Hlemilphaerii (ub
radio R Siisitur vicillim erie luperticies
ad superhiciem. re figura ad fguram, id
CsL, RNVS ad R Y1y; Ced Agura est ad F-
curam in duplicita endiorum veriulque;
ergo luperticies Hemilphaerii genita ab
arcu ACK est ad superticiem genitam ab
arcu CBL in duplicata BK ad B L. igieuF
Hemisphaerii superticies decrelcune in
duplicica alticudinum, Ceu bilium; igi-
cur Hlemisphaerium pertinet id hancclal.
Fet.
14. Accedir, quod genitum ab FMA Figura
est proporrionale gerico ab FXNI, TUnEF9.
durem haec genica in eriplicaca F MI ad F
Lid est in composira ex ratione PM ad
FX _ bisis genicae abaECUMA, ad b. sim
genicam ab arcu XNF, isicur bales lunt in
duplicata FM, ad FZ; led re genica luper-
ticies ab MA ad geniram ab XNV, ica sc
nica ab arcu B M A ad genitam ab arCUF.