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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 18
# Folio 18r, page id 00067980:0035
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PS. SL =A = PT: TML Erx SL = Psia et M = pY. a
TallaeiAgti
pproblema
circuli data. Centra eoruu ut eadem recta
postientem, ita ut productu
uis
E
EC
a
CE S
E+
F . L
e
1x+ ∞Y
A H 5
l
e
2+
e
b
C
ea
1
lemum occunant
talem anfulis datis reccto per
l
m e
ann e
 d
et Ly
das
Circili A, B, C.
radii AL= l, IAM = m
Tn 25: St =D
(N- n
AB= a
45 et
1YN et RV: VN = RF, TM
BC2C
ergo dantur PS: 25 item DTI RY, et QV: RV
praeterea cum detur angulus LeP, itemque angulus M X QL P (aqualis dato M L N) dabitu
et angulus P, ergo dantur omnes anguli trianguli QLP, similiter triangulorum PMA, et QN A
qulit e itaque dantur X rationes laterum omnium forum triangulorum
a
varenda jam ratio inter LS, MT, NV si quidem exdatis haberi potest.
+X
M
 SL: VN = 21: 9t + PN _VN. 5L= 1+ N 2C
et Imgiosa= +.BL et IM- VN = LMI BL= LN. XL
X . dFZC
e
et
s etE
e
Ettete
L 15G F
FL=
+
1.
1++
s
et
ee
 duas rectus t ed ita
ere insentere
ob angulum CH D (quics unus inculus
econianguli pecie dati Cdatur CHK)
odatur CD; ob angulum HCX, seu eius
Gpl. HCW datum datur recta AI non
test opus ergo curari angulum ad X, quuia ex
Dictis jam datur. Et quia hunu li splcie vat
antuli laterum inclinationes seu anguli dantur
uiter se ideo ee num satis est unius tantum
ex ipsib ret ve HD toc agquosunt Eorda
eculi) anculum ad tD oltitento (per cant H inl
duste) sumi. sed vioeo prdiot datu pro so
assumi posse, sumi qualis esse debet ad eRi datam
ia enim caeterorum laterum HC ex etia anguli erunt qui esse devent
et promie ob angulum D+ dabe datur 27
Exdatis ermd hoc modo rectis AW, Cd, DZ uncta de terminetur. scl duo cordia
Omnisus expensis tota quaestio hac redit: duas rectas magitudum
datae ita circulo sunt
datas HK, Cd, ita circulo inscribere ut AENC, HD concurrentes angulum
faciam batum in X. Imo video de neressio semper feri cum ex angulo  et A ipsae
rectae cum veleminuto qua sculta it  sulle inventa ergo positione
ipsamm HW, et CD debita. Iuago CH, Cd et per centuum circuli dugo rectam
quae ad ipsam Ad (vet si opus pro ductam ancultin faciat datum in  recta sui sn qua
recta deinde sumo reliquorum circulorm centra, et circulos descliboi patat sunt dat
Denia  rectas (CD, DH produco ut circulis reliquis incurrunt occumnt in punctus
quaecum puncto H constituent triangulum, consideratum.
N
murert symro hers suve
EC