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# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 17
# Folio 1v, page id 00067979:0002
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fierent universales.
Hoc illi institutum si
absolvissent, totam nobis Geometriam solidorum
sive secundi gradus perfectam deinsigni com-
pendio dedissent
 sed quonam
se sed quotriam synthetica nethodo per
theoremata praedemonstrata ad propositum
eniti voluerant; imirum non est, aditum
ad proslemata difficiliora repesrisse nullum.
destituente eos Patientia in ea itineris
asperitate, et anfractuum multitudine, quae
schemata contemplantes, et Conum mente
versantes, passim x fatigabat. Quanquam
autem opus impirfectum reliquasait,
quae tamen ipsi per Synthesin in sol reliquernt
retiquissent, iminitabile tamen reddidisse visi sunt
quas
multis. Nam quod ipsi in solido et per synthesin generaliter
demonstraverant conicarum Linearum Harmonias
eas Analytici postea secuti re ad planum traducta
(quod fateor ingenti labore imaginationem absolvit)
Summe
nondum exhibuere, ne ipso quidem stri viro
Johanne Wittio excepto, qui tamen Analysin
Conicam omnium longissime protulisse videt
ac
promovisse videtur
Hoc cum mihi de Analyseos aut Syntheseos
comparatione vertu fucient sententiam dicenti nuper
Illustris Carcavius objecisset, agnoscentem ad tentandum
aditum excitavit qu qua ratione eousque produci
posset Analysis, quo synthesin perventuram
pro desperato habebatur. Aggressus negotium
vidi novis quibusdam (u characteribus opus
esse,  quibus ambigna si variae signorum ambiguitates
exprimerentur vidi iindivisibileatque infinitum
calculo analytico misceri debere, quod unum non
satis observasse videtur profundissimus, caetera Cartesius,
denique modum reperi analyticum, quo sectiones senice
perinde tractari possent, ac si unicum extaret
figurae cujusdam genus sectionis Conicae nomine;
cujus figurae, tangenter perpendiculares centra
axes, vertices, focos; abscissas ordinatas
tangentes, perpendiculares; nulla specierum Hiparbolae,
parabolae, Ellistseos circuli rectae, mentione, conside statim prodat
possint haberentur, unde theoremata universalia
innumrabilia in promta habea tur suit, et ad so-
habenta fuere, et ad omnium problematum
Conicorum solutionem communem mihi strata
est via
 vera dici
 aptio natura aequatione universali explicata
aquationibus compre den sibilum