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# Title: Ioachimi Iungii Philos. ac Medic. D. & Gymnasii Hamburgensis Rectoris Geometria Empirica (shelfmarks Leibn. Marg. 9a; ZEN Leibn. Marg. 9a)
# Folio 10, page id 73061350X:0018
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=73061350X&page=18
# Source image: https://digitale-sammlungen.gwlb.de/content/73061350X/jpgs/default/00000018.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 34 lines, status machine
# Lines: 34 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.
# 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.

Y
In dato plano,
n A daco puncto, ad datum punctum rectam linean
 aUCCTC.
Cacrio. In praxi quo longins dictane duo puncta, 00 rc-
Etius e securius recta linea ducieur.
2. Datam rectam terminatam, per alterutrum ter
aquousqueneccse est
minum in intinitumproducere:
3. Ex dato puncto ut centiou ad dacum interrallum,
sere ad datam semidiametrum, peripheriam describe.
LC
Prioribus duobus poltularis resula seu amulis, cum Ay-
Do laristacies rertio circinus: Examen aurem regulae ex de
finicione rectae mantectuelt. Si enim rectas B inamastilica
ConGruIEcurecta C. D in plano LCa, ctIZ AB COnGEvEECUDC.
LROBEFMALA.
A recta interminata data AB, ex dato in ca puncto
1
L A, rectam abscindere, quae xqualissicrectatermi
naexe datae CD.
Constructio. IntervalIoCD, ex Centro A Der postul. CerE.
delcribatur arcus F F rectam interminaram secans in CVCriE.
AC pars deliderara.
2. Adata peripheriâ AB ex dato in ca puncto A ar.
cum abscindere, arcui dato xquiradio C D aequalem.
Eadem prorlus cleconstructio, quae in praecedenei inter-
valloCD, cenrro A delcribatur arcus FF, daram peripheria
AB Cecans in C. Dico seomenrum sircarcum AC, esleeu qui
rEqUITITr.
3. Addatam rectam AB, _ (Futurum) verricem da
cum A, aniculum daco angulo rectilineoDCEconoruu
conIuere.
Laxa