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# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 25
# Folio 32v, page id 00068043:0064
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regulis in calcur etiam difficiliore utendi appareret.
intelleuri
Numc srostat
usum in eximplis magis  fac qua magis ex positis ostendere
d a
Data sint duo puncta C et E et redu in eodem cum ipsis plano
qdaeritur punctum rectae F in recta ita sumendum, ut junctis
CF, FE, sit rectangulum CF in aggregatum rectangulom
CF in datam h et FE in datam Y. omnium possibilium
minimum hoc est si a repraesentet densitatem medii inter
C et Rece eeSF et rdensitatem medii inter C et 8, quaeq
e
per
latuat
tur punctum Fitale, ut via a C ad Esit omnium possibilium:
facillima. Ponamus omnia ista rettang ulorum angregata
possibilia repraesentari percuro ipsas KV cuivaG
V
ordinalas ad rectam GF
quersu minimam Xm.
quiadantur puncta C, et E
dabuntur et perpendiculares ad se
nempe ex Etq etisr quam
avocabimusete et C qua vocetur
dabito
 et pese procerea ipsi
pqe quae sit P ipsam
autem gF vocabimus
LX
a
ent e
pF
l
p=X
s
et
CCF, ScC+ pP- EPXIX
e
et EF, SeC XXX
et nyjugatum rectan
gutorum erit
quos satlg. veritis ca posito
ordinatam curvae
quae bie, tale aaperatum
repraseutantem, fiet
d
hscc+pp 2CX+XX +Y seex
Ve