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# Title: Leibniz-Handschriften zur Mathematik LH 35, 15, 2
# Folio 11r, page id 00068204:0023
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conditionibus implicata decogitaro licdat ut non satis com
:prohondord valdamus et multo minue tantarum computatio:
inum onno ouotinera quod ista requiroront ne nimium dixiose
viddar inversa de tangentibus Problomata sunt in potostato alia
qillis difficiliora: ad quae solvonda usum sum duplici mothodo
una concinniori altorcu odnoraliori: vtramque visum est improodu:
lia. litoris transpositis consignard. ac proplor alios iddm obti:
nontis constitutum in aliquibus mutaro cogdror 5accdae 102f
h1i i 4C3m 9nb0 gur 8511 +903X: 1 a b8cdd10 ae 9101 et 4 m
7nbo3 p39br551 +8v, 3 ac ae42g h5i 4l4m 5n80qur356+ qu aa
ddce EEEEEiiimmnnooprersssssHt uu.
Invorsum hoc Probloma do tangentibus quando tanuens inter
punctum contactus et aedn figurae dot datae longitudinis. non m:
diust his mothodis. eot tamon curva illa Mochanica, cujuo dotor.
minatio pondet ab arda Hyporbolae. Ejusdom gonoris eot otiam
Probloma grando pars axis intor Tangentom et ordinatim appli
calen datur longitudino, sod hos casuo vix numdravdrim inter
Ludos naturae: nam quando in triangulo roctangulo quod ab cilla
axis parto  tangentoac ordinalim applicata constituitur, rdlatio
duorum quorum libet latorum por aequationom quam libet. definitur
Probloma solvi poteot absque nda mothodo gonorali. Sod ubi pars-
cxis ad punctum aliquod positions datum torminata ingroditur
vinculum tunc ros alitor sd haboro soldt. Imo tunc etiam succedit
aeqo 10. Communicatio adsolutionis affoctarum aequationum por Motho
si: xpdum Ldibnitii porgrata drit, juxta et oeplicatio quomodo sd gi
seu xqo sd, q ircit ubi indicos postulatum sunt fractionos ut in hac aequatione
20 + X 3 = X y3 - y  = 0. aut surdae quantitates ut in hac
V2 + XV7)133 = y. ubi V2 V V7 non dosignunt codfficientos
ipsino x sod indicos pordstatum sou dignitatum ojus et V6 n
dicem dignitatio binomii X22 + XV2 205 crddo. nida mothodo
patot, alitor doscripsisodm. Sod mota tandem prolieae huic.
la XD:y: Epistolae pononda dst. Litorae sund decollontissima Ldibnitiis valdo
dignae drant quibus fusius hoced rosponsum dardm. et volui
hac vicd copiosior dosd quia crddidiamaeniora hia negotia so
vdriori hoced scribondi gondro non dobora a mo crobro intor
pollari
Tui Studiosissimus
95. Nenton
Set TCciqu sdu + dus
pone TC aequ () y
since det Ex
quadularis
pae
2 quod si TB
detur ad X seu sit XVV
Eego a aqu du
rC