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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 500, page id 175905688X:0522
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=522
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500
TOF A A N FS TIUDDENTT FPTSF. I
vet y
C. YE
93
II
ex ∞ V C. =Y8V = rY - , 43, + VC. Er8V = YY-  9,
quiav ∞ Z. L y
velx ∞ YC. EY8Y =YY -  43,-
Ouoniam rero in prima parte prioris raloris iplius x reperi
cur lienum 8, _ in secunda lignum contrarium 8, aeque quan-
citates per ea conjuncta ommino cadem existunt; e quoniam ad
obtinendum ralorem iplius x, dux illae partes limul addi debene;
pocerunt ipla decerminari, ponendo prouno. L, ee pro alceio
Ita uchabeatur
∞ ∞ Y C. :Y + V =Y . 4.  V C.3
el x ∞ V C. =Y L V FYY -- -, 4.
VC. LY
Ouocirca quaerendo juxta hanc Regulam valorem quantira-
tisx, licebiciplius beneficio aquationem, s reducibilis (iE, in duas
rationales diridere: quoniam tunc V C. ex Zr L V L rr -  93
extrahi pocerie, exceptotancum, quando quantitate q signo. +
adfecta, Errminor est quam,, 93.
Ebi difficultas aliqua superesse ridetur in radicis Cubicx ex
binomiishisce extractione; sed cum V C. ex binomio numerali
opc Regulx pa5. 389 exrrahi queat, poterit etiam ejuldem bc-
neticio radix ex binomio liceraliinreniri, cum pro liceris nume
ros ad arbitrium alsumere liceat, ec.
Ouanquam aurem Expenumero in reducendis aequationibus
hujus quarti exempli contingat, ut Quaelicum per aliquam ex
aliis Regulis facilius inreniatur, poterie tamen interdum haec Re-
cula praesertim in equationibus numeralibus, ubi dirisores ulti
mi Termini complures existunt auc difficiles sunE inVenEI, CuIB
Fructu ulurpari.
Duibus praemissis, pocero generalem Regulam commodius.
exprimere, quae calis est:
Si in aequatione Propolica, qua in duas alias rationa-
les est dirisibilis, quaratur valor quantitatis incognita
VC
4.