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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 18
# Folio 9r, page id 00067980:0017
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punctomi
Locus rea unde rectae ductae ad duo data
habeant
pcor
rationem datam, est circulus
 AB a.
AE, X
CE, 9.
AC: CB c:a
e
Xx4yy aeg. 
Xx- 24Y +4a + yyag 4
Ergo XX+yy : XX. 1aX +aa +yy
a
CB a
 cc  aa
seu  XX + yy aeg. aa - 2aX V Cce
a
a aace
Hiuc  haberi potest constructio elegans problematis sequentis
olim mihi a Buotro propositi. Exeomactis eerecte
scamtis erectas odme edepct aliq datis in recta
quatuor punctis mcemre q
A, B, C, d) invenire quintu
punctis
E, tale ut ductis ad ipsum rectis ex quatuor prioribus conguli
ectarum vicinarum sent aequales nlmpe anguli omnes anguli
qui ex rectis concurrentibus proximis fiunt
(ut AE, BEC, CEd) sint inter se aequales
l
Ex nota propositione lementari AE: EG =: AB. B
item BE. Ed id BC; Cd.
BC, C. Bd, a
e
itaque primum describatur circulus ex cujus quolibet
puncto ut E, ductae ad data puncta A, rectae EA, EC, sint
in data ratione AB, BC. et similiter describatur circulus
CE ex cujus quolibet puncto E ductae rectae EB, Ed sint
in data ratione BC, Bd. intersectio norum circulorum in
E dabit punctum quaesitum.
Constructio talis circuligex data recta datisque punctis A, B, C
lafacile habetur. magi festam est punctum B esse unum ex pun-
tis sabifacantibus, Habetur aegocranti verlequ. Atcentrum sic
17 ag.
haxc =XX fint Xaq. C.
aance aance
paey aacc raecc 
a
eetre
2
fier
adza
pu