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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 344v, page id 00068194:0690
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Novum hic praeclarumque inca constructiones inventum; ut aequation ossatis utam
mcam dat
2aX + a X 5, V y f  b y +X F hx. F ad circulum
rec k
+a y
) + ca X + ac ducta ex problemat
Quodso jam his utcunque csitis duo fiant ejgdem forma (unius mognitae, vel duarumi) in ter
se cmparabilies habetitur inventa b. et h seu crculis quaesitus
et  et Y fier 1aX + a x2G7 - by - x - h X. ex 3 fit
s apta hud ye( qb
1ix
le
Compaetada s 2 Ly 3
1) peco
quant
ys + Cax +al  X . H
(7 +a Ab
(+a) ( ayst YA1
ab
IseY ic
Xy, 2 glX 97
Pat y+ge C3Xy ax reay- cac F yt
N+sx 
deca rec
+BY + ZZ A X  bac st a aubiiguoniam dres  comparandi sunt. termini, ones
duae vero literae habentur comparatitiae, idco
Huabus artibus deffectus arbitrariorum suppliri
potest vel myltiplicando datat aequationis radices
vel augendo et minuendo aubitraria quad titiles credo spliciorem fore multijuliationem hoct lo
asod adhuc tamen metuo ne facta ex comparatitus aeque sit difficilis acdata
b et Ari B ex aequationibus ultinis inserendo in medias fiet:
e + 4 B D e +  _ + ea est autem Bri a C
eseu  d inar Ye
.Fua =37) a + 2ac+ 
sed nom omnia consentinut, nec vero ad sequitur ex prioribus debere consentire
poneremus Circuli et lonicae sectionis ordinatus angulum habere arbitrarium, et quaeri postea hunc
angulum totem, ut aequationi huic novipimae satis fieri possit; forte res succederet, et
foret ista sane ratio simplici Nima; sed verior ut re succedat ob angulim minimam
quae angulo est recto An forte utile ponere pro aequatione ad sonitamu
B m X + a    + ny. nec ideo difficilius reperietur aequatio
quato eodem procedent modo.
3 vateraque ut
en  Bcnu IXem Cat f a x . GB t. GDr 2ab a C () 
Unde pro rax - a X p y. fier
X - b et HDY F y + 8. er 8S
  6 2. b 
valor lic eseca ipisarum Y et X. inseratur et in aeg. 3
fier:  y Yn
+X8. + ac
( p2 9s eo
tum aeg.b. 
(Z + dE +b 1 dib1 egstabis scribetur
292- 752+ 2bg- Ydb + β8 - β5
+ ca Z + ca b
aen al+
) 
Y Sbum nda
27
7 14Z + cab + ac.
 n locum aequationis 6.d
ads. 1d
ondilla r
rausa aliam faciamus in locum na rab spibentes et
5. (92 358 + A  + a Z2 + 12 4 1d (G2 aequatio in locum aeg. 1
ad Cnicam scilicet. Vatam sit
es Zp aequatio ad Circulam Ergo ex 20 et 2)
+ Lad i0. quae aequatio in locum est aequationis 4. unde G (+ = 2 in locum
qui vulor asequandus valori 18 in quo Y + ca compendii causa volemus n
 d+dt
+.  2d
ab ered
o loco aequationis 8.
et b + B. quae lota cognita rocenli co et euit 8 f e Z = t ex 18 et aquando cum 23. habebitur aequatio:
c2AZ
atc 4a Arai ( ea et Z H4 + a. YC3, arc a
2H 14 al
proaequatione 16 compendii
fier a oer
s + a x +
.
Jam in locum aeg. Y2 scribatur, 49