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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 494, page id 175905688X:0516
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494
POT A N N ES TIUDDENEE EPTST. I.
Superracaneum vero estne dicere, hastres pracedentes Re-
sulas aequationum 6, 5, de 4or dimentionum, (quamvis illae can-
quam exemplum generalis Regulae in medium allatae (InE) se
extendere ad omnes calus: nam cum q denotet quantitatem co-
oniram certiitermini Propolita aequationis, affectam luissixnis
Xc-; manifectum est in Regulis ralorem iplius q cancum (ub-
rogandum esse in locum q; vel li Forre certius hic terminus in x-
quatione deticiat, omnes quanticates perq mulciplicatas, cum
etiam cum lint ∞ o, delendas esse. ita quoque se res habet in r.
Sdc t. Verbi gratia, lihaec aequacio s dimentionu Xs X X f 6 X N
=25 X = 39 ∞0 dirisibilis esser per rationalem duarum dimen-
tionum, in qua nullus terminus deelt; Oportet, cum inhac ae qua-
tione q (IF ∞ 0, r∞6, 5∞ -- 25, t ∞ - 39, loco hujus prox +. 39y8
=ry _C. ∞ 0, Ccribere hanc proX + - 6y7 + 75 7 = 429 y5
- 367 - 600y3 - 4138y7 -36847 -62 1∞ 0. qu d y inve-
nitur ∞ = 2, ideoque W X
2 Y YY F 2973_C.
Y +593 + 9y D = 3; dc PrO
X X - F y X F W ∞ O, hXCXX = L X =- 3 ∞O, Per qua PiopOlI
ta ae quatio erit dirilibilis. atque ita in reliquis. Adco uc hinc pa-
tedt, licuc etiam in 27mo aliis que Regulis, quomodo omnes calus
aequationum ae qualium dimensionum, sive aliquitermini delint,
sire non, rel quotandem modo signis ] e - effecti lint, (ub una
eademque Regula comprehendi possint, adeo uc sexcenti ejusino-
di calus ad unum retorri de mulei labores rescindi queant. Ouod
Catis superque Regula aquarionum 4 dimentionum, cum omni-
bus calibus, quos aliqui elaborarune, comparata, immen susque
labor, quem illis hoc nesorium peperit, demonstrane; pralerrim
li cademratione omnes calus requationum s ex 6 dimentionum
describere rellent.
Denique nocandum, cum dico, primum inquirendum esse num
aequatio Propolita diridi possic per aliam in qua OIMneS FermINI
non extant, non adeorisideillud sequendum esse; non enim id
necellarium, Sed plerum que breristima ria eAt ad aequationeM
Propolicam reducendam.
L2 L LC1L
Duae modum docet reducendi omnem aquatoie ralio-
natei