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# Title: Leibniz-Handschriften zur Mathematik LH 35, 14, 2
# Folio 74v, page id 00068202:0148
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mraeter methodam interpolivs qua radices extrarit (puras) habet alium Methodum
Nentonus magis abstrosum extuhondi radices tam in aneris, quam in silerebus ex equ
tombus simplicibus vel affectis differalem valde a methodobretas Oughare d e Hario tt arat
Cinter recepta, est Sed sua potin atitur tanguam conmodore  quia ceterius convcigat qcocedi
id rincipro simesi i cum eo quo usque samem meo Commercio  Estistotuto Ex 2
arux
ad solvendum problema fere similis naa sumtae inimbro radicis  fati modotA
quemens apparet resterm vanetatem recipit, id possimus vocare A. inde mvemuus ex 
quaestionis id esse vel justo jmajus vel justominus. ob differentiam assumatur B, et smiuiter quaeatur val
et Fursus prr discuminie assumntur C, etc. sit aequad y - 29-5 = 0. sumitur y aeg. 2+ p
et substituturis valor inde sumitur p aeg. 0. 1 + 4. et qaeque - 0005q +Y. et
Y = - 0. 00004952 +s, en invenit autem numeras sequentes ut 1O.) et - 00059, 
et ita porro, Hoc modo: in ag. suttim heu SB= 0 pro substituendo:
2 + p fit = 1 + 10 p + 6pp + ph. itaque absolula temmina = 1 dividit per 10 oefficica
similiter in specrebus., aequationem
affert; y + axy + acu - X   50. ponitque primum a +p a = Y. hinc  X+ 9
lepus pennetimi et fit + seu + 0. 1
unde fit + 43 + 3 aa B + happ F p3 = 0. ubi pursus ponit 4X + q = p. (+ cujus rad guihi
non sulis
applarec 2)
+aax + ax B
+ah + aa H p
(+ scilicet procedendo ut in numeris negligit
quoedam, modo semper accedat, dum simplices
sempr oblineat +)
addit deinde omnes pro radice, ut y in numeris aeg. A a1. = 0. 0054. = 000A852
invenit.
Za
ilio
civailer
Exi aequatione data un osut eas allas quae respondent terminis
ellus
aequationis in pamilelogiammo poposito e et cypolentir
exhibente stellis notat eas
cellat
yt - 7a
16-5X + R
quae sunt in aequatione
a + 6a X3 +b X 
Auta fdous Ja ag X 243.
inde regulam
applicat in a notatarum steltarmm cellarum in lalere AB
infima; et inde ad plures regulam applicat sic ut ea
tanguntur nempe C, et b
una vel plures ita simul
lansit regula; a. b. d. cellas s vliquae quas non langit regula
sinthis quas langit superiores. Quin ergo hoc loco tanguntur
96, XXGy, X ea ex aequatione proposita sunta exeequantur nempe
96- 7a a XX79 +6a x ponatu fingatur aegue, 0,. seu  - 7VV +6 = 0
penendo y = D tax ita valore u quosito habentur qualurr
valores tiax scax + Trax - Vhax. quorm qulibet pour it
pro primo termmno. suc in 6g. y3 + axus + aaque - x3- 2a 0 sit 2a  ang 
nunde = a proxime ideo fit B + p = y. similiterex scundis
quationibi seciudi legmini invennitur, sed focierus ut dictum
ande subjicit tonllisiu specialia quoedam Neutoni,  deinde his verbis
concludit. Somerotat of thesamellind hath beea done bus libnitius
aud Chirnhansius, abrvad, aud Mr james Gregorus, aud Mr Nicolas pter
cator, voite us. vic are most of them b partieutur cases poithia
the compass of Mr Mentons general Pules Amonyst oich s thal ot
ibnitius publistred in ehe acta einditorum at lipsici for Mte Monthot
februarii 16 1692; lohere he shews (inter alia) MalMe square ot
the diancetre is to Me Cinte as to 1 = L +  - et e vich is
a converginus series bul flocolus converginus aud vill at lenath come to a
difference less then any assignable. And johile these fhinus are printinus comes
oit his present year
(684 ab Ediuburus) treatise et lisce nature ot
Mx davita Gregorre nephen of james aud noro professor of Mathematutes
Edraburus nictutnted exoccrtao nova de dimensione figurarum, ubi plura hujus
Errare Taquelum putat Wallisius (c. 46.) dicentem Grenorum
vincentio prm de infiniis propessionibus momandis cogitisse um ipsii
generis
liber prodient 164) Toriicellli. 1644 (4 sed serendum longat prius hubuis
satia Grerjorum a si vinc. vid praf  inaqate pistota p. seithes aq litalliscu
a
uibi sperat sectione, axis in partes prionis ee, posse aliquid amplus delegi
cirsliarea, eq
eliam pro sedmb subeantians ductibus ul vocat ppeus a s. vinc. stem
n
9G
Mertodus singularis qua Bronntreu, quoddam Broblema
Fermatus solvit
in Commeuro Eplrco Ep. 17 et hic fuscu exposita est ibi progresser quasi quaed
non quidem in infinitum fintiata sed usque, ad detemminivem, fere ut sit in inventum
communis mensarae. Semper adhibenbu linntes et magis magisque coarnctantur et tande
integris
cum agitur in integris comune decrescendo necessur
imla
e seuitur exraustro
debesequitur exhaustro, vibilur a invenir non potest.
tantum
espeta
Aterebratunter
sequitur Appenda