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# Title: LBr. 943 · Tschirnhaus
# Folio 62v, page id DE-611-HS-867509:0126
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-867509&page=126
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Methodus Taugentae Cinvaruu determinandi
E Sit umva Geomehico BDE cujus natura ut fieri tolet calculo exprsia
sit (BC hugponals xX CD xy AB xZ) vid: ntio:
Z Termini aegnationis, exhibrntae proprietutem Curuae tali ratione dis
ponants, ut potectus maxiniau quae nari potect; sola sit ab alteram
t
porte aegnationie (eg.) yy x rax -XX) vil ri ea desit, pounnls omnae
termini aequationie plae nihilo (sic xyxaa redigits ad Xy-aaxo
2 Fiat Fractio cujus denominator hoc pacto conctituats.
Omnibus terminae ubi cognitae (adhaerentae in determinata Xdy)
unijo sunt dimansionie praefigats unitoe; ubi duarum dimensionum
c
binanus; ubitrium diuncusionum ternanius atque ita pono
3 Numerator vero ito conctrubs abs: Omnibus terminae, ubi x uniue
E dimansio ine praefigats unitre; ubi duanum binarus; ubi tium uinus
ablata vero ab omnibus hisce eominis x. umica dimansiona eritus grvoli
elamodi x 2
Cuantum jam ad Mechanicae Curvoc notandum me nullum discrimen videm inten eac lineae, quas cortesius
Geometricae argellat e Machanicas s a   ) visi gd in Geometrice uve
X ety exprrmants gro rectas lineoe et in Mecthanicie C9. Xdy Cuorurum portae seu Arcus desiguent
(adeou o cagio jucta esca ratiorum quare ideo a Geometria exiludenda) sic autem Ego concigio eondam emin
eg: yyx2ax x a lartesio Geometricam dictam. sempen Mihi infinibae luo voc extribare
(sit 20:  fig: 2da Curva quavic ABE ja
AEG+ cdesc
infinitae curvac repraesentul uont loco ABC alia ao alia ermno rubotituits) harum vero infinitamm
Curvarum hanigunts
d natima gg x rax. px E x 2aX
2a- 2x sum x x hnio addats tang X d habitis rac
-7
a -x
sius jam faugoure f FD e  ascumals ognalia rax X di 1o gd ducta lima FE tamgant curma
AEG in E qualinamus Crvna ADC etiam sit
Atqus iic torta universalitate et appodita ad modum rationa, infinitamum Cimnarum Targentae un
Samp.
e eodem ogero sexhibents.
e
ux
+E
x38C
e
e
e
Ex
85
fig: n