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# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 28
# Folio 7v, page id 00068046:0014
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Du D. T. proponit in actis Martii 1685
curram quandum Tramscendentem,  quae tota pauter
ac omnes ejus partes sit absoluta quadrabilis, quod
non est injucundum problema povum pec injucundum,
ejus ut in quo mothodum meum expersri volui sed quia
solationem non adsit methodum unam experiri vola
osenB.
N FGH: GH:: HAA HB AH: AB. E
1D quadrans aequalis recta BG, quaeritur
dimensio spatii ABC. FGH = 1. GH = a. Ad-c
Gd = ser AH = r. AD in esercc
et ED DC E s BC E i. Sir cex
et Ed sou BC: N:: C: s et BH = et
fet BH = ar: B. Sed inde jum video lineam
AC S esse revera lineam sinuum con aliquam, nempe
HB existente arcu smultiplicato per rationem diametri
ad semiperipheriam circuli, erit BC sinus complementi
multiplicatus per rationem semiperiphoriae circuli ad
Talissautem lineae sinuum quadratura jam
ab aliis fuit assignata quae ex nostris principiis ita
vorpe
diametrum,
ax
derivatur: d B H = Y+ Yda. jam a =
ergu fit BC et da = _r ax. Ergo fiet ABH =
sirx
BC LBH = (rXdx jum _
VrrX
=_
rrXI
Frxd yr
exdu
 ax
sir -XX
posita y = fir-xx. fia
F SirX
adeoque semper erit A H in G D aequ rectangulum
ex AA in GD aequale trilineo ABCA
A
Haec cicet deleta
tamen bona
de
GL. GW: LR: LB
seu GL = AXY: I