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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2
# Folio 76v, page id 00068195:0152
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Compendiosi aliqua haberi pt problematum geomatriae motusus solutio per.
varationes omnes  si non adhibita saltem cogitata mobilitate per omnes casus
possibiles inter medios observataque progressione approximationis, ita
enim perfecta scientia progressionum, determinari potest punctum ocursus.
Laboracidum errgo est in scentia progressionum perficienda, quae profecto
nisigne omnis Matheseos compendium futura est. da
b
Habet talis methodus retiam hunc usum sut approximaones possi-
biles facile exhibeat. ad de quod mire duvat imagnationum, animo
non lantum per simplices litras vagante. Et vocari Machina
s+
Analytica. Haec methoda, non tantum est naturalis e
Jucundo, sed et infallibilis et numvesalis, et nunquam defutura. At:
Analysi vulgari fieri p, ut aliquando post gulle tentamenta nihil
inveniamque quis enim omnes onationes possibiles instituat, ex quibri
fortasse certa quaedam sola capax est, ad determinandam aequationem, paesertum
cum nihil sit difficilius quam determinare et observa radem inter surda
et observare eorum aequalitatem, etiam quando revera sunt aequalia: ita, qu)
radicum extractio et binomiis ite dio et residuis, item divisio per binomia et
residua rarissime succedunt. Sc Et si saepe successira essent, si ciremus
Eligere talem radicem arbitrariam temumpiuisu.
oncdum