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# Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1
# Folio 219v, page id 00067993:0440
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ACLAFRBDITOROM
ingeniis desiderari posse) explicata erune. Aeque id etiam ab A.
aore praedicto intaperhabicum.
Majo iniisdem Actis Liphensibus omnisenae eruditionis vicum DN.
H Ad publicarum hoc specimen meum, anno 1884 mente
rendie Respondi ad hoc (1) dubium mihri non esse, quin prosingula
ei ingeniisuni lagacieare haec calia ipsi perspecta esse pocuernil, quod
tamen de eomiti non constaret, pro jure quod in mea habeo, li-
cusse mihi propria invenca publici juris Facere. 2 specimename edt
cum hocsolum praestare, ae sigurae alicujus vet indefinicam quaula
turam extudeal, vel eandem non nisi ope currae mechanicae qua
drari volle clare ostendae: ee quia vulso qiadracuram quae Cola curra
mechanica caderi porest, pro absolute impossibilijudicene, me
erdem hactum cemporis distinouere voluisse; uc tamen sciret Le-
Etor, me alqua actiue desiderare, verba modo cienea arciculo s
inseruille. 3. Aololucam hujus reimethodum, prout cirulus promie.
nic, miinotam este, ob prolixicatem vero explicari cum non po-
euille; adeoque specimen cancum ejus aliquod ibidem extriberi.
Hlaec privacim lacdato Viro Scripe; quorum ipse deinceps, Ad0
tum ejusdem anni mense Decembri pa8. 865, liceris nominis sii ini
cialibus scheciasmaci praemissis, brevem mentionem lectori tacere
no dubicavic.
Pramiuenda haec necellario fuere, ve tanco maxis incuriara
Auctoris mireris, ne, qui nomen meum in Actis constanter liceris
D T expressu cum Domino C. C. P caries in cractatulo hoc confun-
dencis. Opinor aucem, Ayli in veriusque Schedialmaribus diver-
sicatem, distinctis vrinque praetiras nominum DF e C GL. nOcaS,
objectiones alceri ab alcero factas, laudes denique, quas nemo Fanus si-
biixs cribuie, in methodi hujus edicorem congestas, ne simpliciltr
mo quidem permitrere posse, ut unius ejusdenique Ructoris eadem
esse sibi pertuadeat. Relinquitur erso, Auctorem cactatus sponce
Cbi aliisque imponere roluite, tanquam ab uno eodemque Ractore
diversis lub larvis haec conticta sine: in quo vei plurimum simplici
rtis suce prarius quid dicam p milus tibuus, hie tonge masime seiptum
decepit.
B. G. L. quaedam repoluisse: quibus cum dubia lua de methodiuniver-
Calicare explicuie; cum etiam cale e os calus slnocuisse COn=
ipoyi SnyAE ONA ErSHS CBrgg un ponbreusmer sals VsuE
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oP Sonseue Srperminionen B~ Ce sSISS WIESEICMPOyNIIES
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Subaens CrOIns IBJISSBLCIHSAMTLMFOE yION OisseS SCHI
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qusyu eiV e edrY (eredunsn noni eteyys V rores
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go oiuos u dispen su siniisses iusme erpusdio
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NAdOEIAADEVLDY Lt 
MENSISMARTHA MDCLLL 15
generalis publicarioni, quae Aucoris oculis in expectata mulca objicicer
reterrare. Insuperabilis porro calculi moleltia non esta methodo,
Tedrei iphius difticulcace, qua difficilius sere in cota analy si aliud non
est. Mihi camen in promcu sune compendia, quae eredo paucis in
mencem renisse; quorum ope, quod altirix multo cempore, eso
pavonsinerahoras absolvo, iisque calia perficio, qua nullus unquam
per ordinariam analy sin consequetur; quod suo tempore cam eriden.
ter comprobabo, uc nullus dubirationi supersiclocus.
NV quod etacum Aucoris PaS 23 actinet: adeoque non parum zeome-
eriampromoveres, qui methodum daree dc. illi signiticare postum, itri
jam ab aliquor annis ejusmodi methodum innomisse. L quidlem eta
issimi Neuronii mechodum, curvae quadracuram ad infinicam seriera
reducendi, ingeniu ec acumen Sapere Facehdum elt; genuinam tamen
non ele suo lococlare ottendam: meam vero tam univer talem da bo,
ut non Totum currae alicujus prodica natura infinitas series rationales
extribeat pro caclem quadranda, easque omnes Neuronianis seriebus
simpliciores: eadem erjium omnium quae dari postum simplicistimas
decerminet.
 Invemra, Domini Barrobo Pos. ) nimium quantum excollic: ad quae
Seguentianoco. Primo, generalia mea cheoremaca, quae in specimine publica-
quocumque proeressum in infinicum seio, mulco illis praralere: dane enin
on quocundam concum, sed absolure omnium sigurarum, curra peometrics
rminacarum quadracuram, auc eam ostendum nonnili ope curra mechanica
xhiberi posse, quod necrarrorviana, aecullahactenus publicara Prastanc. Secun.
somechodum calia cheoremata, qualia Barrorriana, Forma
Dominumfleuras nobis apervisterunde non semet dixi, methodum qua hic Vir
curras rectifieare nos docuie (veur perquam singulare inveneum) me non
ancixsimare, quam mechodum similia Beneralia cheoremaca abse
ne
_ inveniendis quam cam elece in demonsratione cheoremaris, rectisicane
urras, avervie vecrroni aditus ad similia Formanda omnino pareac: Suttic il
 ad hocscire, criangula similia esse proporcionalia, de curras else poly eo.
na indesinicorum lacerum. Acque hoc ipsum postea Dominus Barrorr quo
que pertecit; Hcurasii camen mencionem nullibi fecic, quod miror: ue
asemel eciam miratus sum, Jacobum Gregorium in lua Gcomecria univerta
slectorem adeo prolixis demonstrationibus decinere, qua methodo Heura
riana cribus lineis possine explicari, de ex qua idem dubio procul cheoremnca
aprimo deduxit. Terrio haeC quoque CheOremata tantinon
ei
nik quis duo probe sciac, 1. Fangenrium mechosum univertalem; quales
moadhuc publicarie: nam ee a me olim publicara spccimen cancum est al
locituo, tonse unirerlatioris, de qua al bi. 1. ecta cl, ul otbrer ct e
epei