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# Title: Leibniz-Handschriften zur Mathematik LH 35, 10, 7
# Folio 25v, page id 00068160:0050
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 1r); this page is its left half.
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 94 lines, status machine
# Lines: 94 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.
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# After the first blank line: the recognised lines in reading order, one per line.

1, p.
seuianguli intel radio
ductri focorum est ad
ejusdentd,
actionem circa eundem focum
ult
sinum rectum
sit ergo angulus sub du duobus rectis radiis FG, G
ex focis, bisectus  recta GP ipsam CF bisecaute in 
et agatur pL normalis ad EG in V, L. 
quoeritur
ratio GL: Lp) ex datis rectis, F E radiis EGF
et recta EF.
ob angulum autum biseEFG bisectum
est ad EG: 8FG:: Ep: FP, Ex G sit in EF perpendiculam
et GH _ EL P sim. EHG Ergo C EH: EG:: EL: Ep. 
FH, fet e
et + g = r
_ e GH g, nl. S = R EP ∞F
N e e p +9 
FPG: EP:: q. Y: Y seu EF p = p q Y : Y 
GH. EH g. X GH,
r-
EF, FG
t, BE 1 ad
et
a (4+r+ 9- Y = 
4+r- qtr er
q-Y + q Y = aq
79+Y+q = EY
LY +g -Y = (ese+q
-9+r=
+ q.Y 
5+4+3= 12
+4 -3 =
5+4 +3 =
e- q + 2Y
EH = C - 1qr - v 26: q.Y = EM - + Et
r- +0. EgrEY, seu  cor 9. r - 40: 9ut = m et
jam _MN seu  si GN vipler angulm EGF, fiei Mesemn Lm Om + m + t
jam n +t = r. et fier A- tm: mar fiet WMN: ME:: GM: GM + GE.
seu n= em mer. seu n. M:: F: n +Y M: R:: M+r: t. tantum
ergo quarenda quantitas mtr: F. se s Sr. qer - 40+ + 2O, (q. Y): 20
seu rai 40 Irg. Y: 402 -1 + 1
porro m+r: F ut different
radiorum que est ad. Y ad circulationem quae est aD: Y posito D tempores Elemanto
Ergo fiet: ... . . +1 = dr Y: ab seu dr
Xq. -v = FH M-
e29 rea tranguli irculationum mobilis circa  _  circa _, 4 centrum C, quae sunt ut in quovit mud
Y
e +q - 2Y
C
s Ergo area triansuli
+9 +r - qtr = 2r
r
4 + 3-
Ex lis in se fitttoqui
Pgr
+4. Ar +9- Y = 29
+Y
es
C
=Y.
PL, y
191.
EGY
L
inciementum
iutationem
n
ejusdem ficip afferentia radioe
re
s
se radioru
eo seu
circarau
eun
cadiosum
eu ab eorem
ad Locumsseu
Comp
eciestas a
ecrementum radiorum ejusdem
foci est ad circulationem circa
L
sinus conulencu
In Ellipsi ac
eF -e FeC EHCh.
f2 + g = n
ida focum ut ansulu
quibus in se invicem ductis fit se -4.
er e, dat GH-
quae didisa
Ellipsi nermerdua cadiocum