# Leibniz Legible — https://leibnizlegible.com
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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 396, page id 175906937X:0420
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=420
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
# Lines: 38 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.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
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# After the first blank line: the recognised lines in reading order, one per line.

DE CON CFNHANDES
Demonstratio P F O L E M AE L.
Ducatur enim per punctum E. linea F. I aequidistans linea CD.
33
Duoniam icitur linea GD es F.F sunt aequidistantes, ratio
3 lineae C A ad AF. eadem est, qua est linea CD ad lineam FI.
3Adsumatur autem deforis linea ZD. Frit isitur composita ra-
33 tiolinea CD ad lineam F T ex ratione linea C D ad lineam
3DZ, ex ex ratione lineae D Z ad lineam F. I. Quare ex ratio
linea C A ad lineam AF. composita est ex ratione linea CD ad
lineam DZ, ex ex ratione linea D Z ad lineam F I. Est autem
es ratio lineae D Z ad F. T eadem rationi lineae ZB ad lineam
BF, cum aequidistantes sent linea F L e ZD. Ratioizitur li-
33nea CA ad lineam AF. composita est ex ratione linea CD ad
lineam DZ, es ex ratione linea Z B ad lineam B F. Quod
erat demonstrandum.
aliter.
UE supra est
Ratio
DDE BErClHIC LI GA od AF
b- 0
 4) 1bd.
ab --0-- bb
vel ac...... af
BZ L
TCu C....... 
BE. velFTC
medoterm. d.
GD.
a.
Ducta W AL PataCta IpII BL doncc occurrat producta AB
in K, agacur B FI aequidistans AC, occurrens ip(I R C in II, jun-
aturque TID, secans BF in I.
Ouoniam icaque, propter similicudinem NRM R AC _BAF.
GA es ad A F, SicuER C ad B F vel FTG; sed UE R C 2d CII,
ita quoque est, propter limilicudinem rum Y DO _BDZ, li-
neamque D EI in urroque limiliter ductam, BZ ad Z. I. Ouare
etiam