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# Title: Leibniz-Handschriften zur Mathematik LH 35, 4, 19
# Folio 33r, page id 00068016:0065
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quodsi jam prob lema ita
formemus: Data differentia
segmentorum bas eos, 7, Angulo ad basin
data
seuratione lateris AB ad AD, 5 ad 4
denique dato fat est  (ut exemplum
faciamius
inde formemus problematis primi)
data latere ratione lateris, majoris
AB ad minus BC, quae sit differentiam
laterum AB, BC quae ratio sit eadem quae 4 ad 1. seu quadrupla
quid si jam invenire Triangulum;
 litera quas in calculo superiore
adhibuimus, ita explicabuntur
erit, a, 7. d, 5. C, 4. b,4. G1.
β, 1. 1,0. 90. 8, 1. 9, - 1. t, 0.
cumque sit v aequ per priora n significet cβ- bd erit aequ. - 3.
n significet, cB bs, fiet n aequ.  cum et pp seu cg- bt erito
et  pitem cqubl,
seu 10 - 0
et Y seu b0 cY erit- 4.
et h seu aerrerit 54 et k seu rraa
n significet cβ bs, titho n aequ. 3
seu + 1 - 4
Pp . . . . . . cq - bt efiet Hic Pp aequ 
s
0 = 0
quia a; Z erit a 2091
videamus nunc an numerus
Jun
rr de lad
rest
iuoes
id est quia sp est0
arronn
n
et b  hh, 409b. et
bd - c ... . Y aequ. - 4
-4 + 0s
aa +s 2 p4 ( ad V
1-
hh -k erit 1296. qui numerus
est quadratus et  radix ejus
36 erit 9. jam jam
Q aequ. 8 + h aequ. 64 +36
id est Z aequ. 100 seu 20. quod
vorum esse nobis jam tum aliund
constat. Idem 6 in aliis
omnibus problematis 5 3bb A primi
exemplis succedet
regulas tm
8
2
NX
Et similes
non tantum pro singalis problema
25
6
an da + aadd ssit quadratus tibus sed et pro omnibus simul 
a ee
comminisci liceret, siquidem
quia est y. en ideo a erit 2401. id persequi operae pretium esset;
et utique si a id est sive aut si res difficilis videretur.
an aadee  aada sit quadratus erit autem si modo aec tdd
aee
sit quadratus. 4ec est 64
cujus cum denominator sit quadratus, dd est 25
tantum videndum est, an numorator
4a eetaadd quadratus sit
est autem a aequ. 2401. et
ee est (6 erit 4ae aequ. 153664, sive 48 qui numerus est
qui numerus est quadratus, latus enim quadratus, latus
es aum s ecst aqu Bg2. Mat enm erus est 2g
16+ 9
96
00