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# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 15
# Folio 17r, page id 00068033:0033
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068033&page=33
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# Lines: 62 recognised, mean confidence 0.82
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umi 1679
linca pronica lomnitemin x ponentes
simili descubenda per a
assuncendo _+B valde
parr existerse (.
2 2
 et
es
O
C
radicum
lonicarum etalia
id genus
 potest unilis sumisatis paroe et per omnes numeros tanseatur
4 24
120
1co
X+X aequ. b. erit Xaequ. b.
appellatur X radius pronica ex b. Ce
ef  potent curva  excogitari similis
logari dinicae. Nimirum puto in se invidem
duc debere X b adius ordinuta X.
abscissa co.
ret si ducantur
invicem X, X + b. X+ 2b. X+ 3b et
bel ec
Solarunt et media inter haec
pronice proportionalia inveniri vag.
sit X X1B 2+b
et debet
X+B esse ponice proportionale inter C
sint temuni. X. X+bX X + 3bX  eta
inter X et bX quaeritur media proportionalis
provice pronice sic enim nunc loqui placet
ea sit Y.
X X. X+B.
producentes aliter
assumumus prodmentes.
X
(4
X + β X +B. etc. eta
productum pronicum erit.
~co
2
ere
assumendi erunt
x+b et quidem
determinate hoc modo :
X
2, v
y+X
ecout
  Bβ2B, X,
etc
L es Bst
ubi co exprimat enumerum proiventium
eic l
2
2
continuctum
Hinc jam et facile intelligitur quomodo
e