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# Title: LBr. 943 · Tschirnhaus
# Folio 47r, page id DE-611-HS-867509:0095
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macurvam et algebraica noco quando per potentias
certi finiti rationalis exponentis exprimi possunt. alias voco
Granscendentia quid sit calculus tetraegonsticus alet id e
serviens ad tetragonismas. Curnam quadraticem noco quae
servit aed aliam figuram quadrundam curoum summatricem
et differentialem voco quam ordinatee se habent inter se ut
summae et dlifferentiae calculus dlifferentialis est quem praeter
literas X. y ete ingrechuntur infinitae parvae e cy et similes
Gnvenire tangentes cureie reducitur ad hoc problema invenire serie
ri differentias invenire autem areaam figurae reducitur ad hoc
datae seriei invenire summas ope hujus calculi differentialis
oia ista reperio sine figuram inspectione et linearum ductu
et per consequens ea ad quae imagiriaop linearum ductus attingere
neguit. Hinc inveni modum habend tangentes sine sublatione
fractionum et irrationalium quam te maximi facere testatus
es in quam non facle incidet nisique considerabit tangentes ad
differentias redluci itaque nunc opinor non amplius dices aliis
methodis statim praestari quod meo illo calculo differentiali.
Nec possibile est generaliora praetari in hoc negatio itaque ex
quo mecum locutus es non ampliq opinar dices quicqu’eu metho
du invenirem tep alias eadem facilitate pititurum unum
exemplum dabo quod est ex utilissimis et mea methodo facillimis
ex datis ex datis figurae paritumque ejus quarumcunque centris gra,
vitatis, invenire areas
s sint L
centra portionum Blinearim orthogoniarum, ABC.
BN
qual. L1
aterum tres habeo calculo transcendentibus etiam appli,
alii quus non obstruite explicit apparare obscuriora. sunt Cunam quam cabiles unum per differentias seu quantitates, infinite parnas
e
M.
erit algeoraia
et 
tan
s
ea
quadi tusa
nci pot
recta
id
let
de cquta saten ne rlae aee it lacariom apetera prade vatu pumas goa ionchng latet eip qua daria pes quam erta oca
equale cabo à
onstante nullo
negatioreperio est
sere prales cppetita
proponis in qua alterum per serres infinitas tertrum per exponentes irrationales
tum AF in AD demonstrate possum impossibilitatem quodraturae specialis ex. gr.
irculitotius per duos vero puictes tantum invenre possum