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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 11
# Folio 20r, page id 00067970:0039
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a
Hoc per algebram ita quaeremus. Ex
puncto C quaesito demissa intelligatur
perpendicularis CF (aequalis ipsi DB) occurrens
basi AB si opus productae in F. similiter ex
ex puncto ali ex aliquo baseos extremo
A in oppositum latus BC  (si opus
productum) ducatur perpendicularis AG.
itemque ex B in AC perpendicularis PH
 AB sit
patet data
sint A CF seu BB esse longitudine
 b +
rectas AB. CF. et quia angulus
ACB vel ACG. datus est, datam etiam
esse rationem rectarum A cA. C CA. CG
inter se quae sint ut esdatae
Vou AB CFdet DB CB CA BG. CG AG
ipsas
vocen b
d
erit V aequ. bd
n n X
+7
 b d aqu. b  ( b aequ. 1 = 21
(3
Ergo per aequ. 3 et 4. erit X= 7 aequ b- Hi
adeoque per A et 5 erit = X + Z aequo l n
Ergo per 2 et6 erit (7)
Ergo CF2X aqua dN + m
(8)
m
et + 1Z aqu. bn - n
jam ob Triangula similia BAG BCF.
erit Bs ad AB, ut BC ad CF
b erit
jam ob Triangula similia ABG. CBF.
seu ero
erit AB ad BG ut CB ad BF
1b1 X m md
(od. bsmde E. at supra peri
fiet. X aequ.
(10)
erat X aqu. 
in a+
M
b- n + m 1
T2m
Ergo aequando vatores exus et 10.
MM
fiet: 4b m - 4 daequ. b
quos duos vatores antrquam aequemafliciter
Ers Ergo aequando hos duos vulores destruitur 
incognita m in nominutore et fit
(11)
+ 2b. fre- d aequ.  b - n + m
Rursus quia CA AG. G CA CG
habente inter se rationem datam ut 9 adY.
erit  aqunr aequ. Z9. seu Z aequar
quem valorem sulstittrtu, aequa   m
jam ex aequ. 8 est Z aqu
+
2m
fiet quem valorem aequando valori ex aequ. 12 fiet
fiet: b aequ  n + m l eF MM
et ex n fier s  Huic aequationi aodatur
ab . tequ n + m ca aequ i 
(15)