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# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 25
# Folio 20r, page id 00068043:0039
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 9v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068043&page=39
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 48 lines, status machine
# Lines: 48 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.
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si sit linen LEE, et ejus fucatur
langens ET et ex puncto fixo L ad B ducatu
perpendicularis LBC producta, centroque E radio
Et describatur areus circuli secans LC in
C
et per omnia puncta C (C) describatur
carva, ea, erit proclocides curvae LEE
super seipsa rotatae
Datur PC ex AB, quaeritur an haberi possit
ex AP. provideo non posse alioqui semper
habetetur latis curva quaeramus tamen
ut appareat cur non e pritri
p
P AP sit v. AB sit X. BC sit y.
dx: dy:: y: et  v x. C Saego 17 + v -21 
dx: tdye+ dus y. s. seu dx. dx edu:
seu s; y: _ 1 + dy  aeq. 1 + vE LVXLXY arqo
ex
Cls
ly
eatur autem relatio inter set X hinc tolli quidem
potest X sed non et simul
V
sit AEEgo Z. et EFa9.  t erit PEag. 7 - v.
et FE Z = et FE seu eo ad DE seu 2 - V, ut AP seu v -X ad Beseuu
seu coy aeq. Zu - Zx - vv + vx et paulo ante
yy + VB = 2VX + XX aequ C S
datur relitio inter X ets et arbitraria est relatio inter
cd et Z. Tollatur y ope haru duaru aequationum
siGecho Z- v. v -X aequ yeo. yy + v- x aeg. s.
siet y pro v x pe fiet vy Z- v. V X aego s co - v x co
valorem
per
jam pro ( substituendo reationem ejus ad X. assamenda est talis
relatio inter Z et co, ut v et X, simul evarescant X et v.
quod utique fier potest, quaerendo valorem unius. Erit ergo punctum F
pins aespe
positione dulum et rectu pC magnitudine. Et onveniri poterit
punctum (hoc modo; ducatur da sumta AB, datur BCp
magnitudine et F positione ducatur per B infinita BH, et centro
Fradu regula seu constante P C. descrppta Conchiforum conchoeide
linea secabit AH in C. unde sequiturrem semper non posse succedere
s aequave  redacta ad diffecentiratem simplicibus existen
tibus Z et co reminatis X ((data relatione inter set X)
qua exanos; haberi posset uoc aequalio (Tollendo dx:dus
quippe notas) qua priori juncta evanescerent simul X et yC
tunc lineae F tevolutum generoretur linea CC haberatur
absolute linea FF, cuius evolutione generaretur linea cC