# Leibniz Legible — https://leibnizlegible.com
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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 121, page id 175905688X:0143
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=143
# Source image: https://digitale-sammlungen.gwlb.de/content/175905688X/jpgs/default/00000143.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 48 lines, status machine
# Lines: 48 recognised, mean confidence 0.74
# 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.

enquelee
dccerer
Al. t
ceteiust
lceol
c ct, 1
cadem
linet L
1
e
ep letuhe
ce
ec
e
e
otille
e
ace
ecc
rectu
Bt A B R E V E 5.
idem hic existens
quodb, de trR C Or-
dinatim adplicata 2d
diametrum. Ouorum.
demonttrationec dif-
Ecilis. Nam, secundum
EEpFOP. mi L ibri C0-
nicorum APolIOn.
rectangulum compre-
hensum (ub latere re-
ctob a linca NK ∞
+2 = X, UEpOLC, d d
bx, eltxequale qua
dratolinea KC. Est rero linea K C ae qualis iplisBC ∞y, _ BR
d, Cimul sumpris. Errritaque linea K C ∞y. + d, ec quadratum c-
juS~yy- + 2d7 + dd. AC proinde ry. L = dy. F d d ∞ d d. F b X, eC
per conlequens yy x = dy + b x. Quod demonstrare oporrebac.
OBS E R V A FEO Y F R F I A.
ABina 29, circamedium, dictum est, lineam quaesicam esse
Circulum, cum aam ∞ pZ. de cum angulus eA rectus. Ve-
rum hoc intellisendum etiam eAt, cum angulus est rectus, nec
omnino habetur a am, nec pZ2: aue cum in aequatione literx u-
niuscermini xquales sunt liveris termini alcerins. Ad pleniorem
aurem horum incellectum lequentia construamus exempla.
Habeatur aequatio py ∞ bX = x2 Cu,AS radIX esty ∞ V bX = ~
_ supponatur in appolicatisuta a L2 fl ∞b, linea AB ∞ X et
lInCa