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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 486, page id 175905688X:0508
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486 IOH ANN ES TIUDDENEL EPIST. I.
Si Propolica aeguatio est divilibilis per X 3 L p X X p
x F h∞0, postunt per eandem mechodum, qua
priores aequationes inventa sune, etiam inveniri dux
aliae, alcera erium, altera or dimentionum, quarum
communi divilore invento, per cum valor incoonicae
quantitatis y inveniri pocest; ralor vero iplis Z Guaera-
tur eodem modo, quo antca. Ladem eAt ratio in altio-
ribus aequationibus.
Sed li nullus inveniatur commmunis dirisor, astum-
ptum ralorem ipsius h relinquo, et alium altumo. Rc
li omnes termini alterius aequationis se invicem col-
lant, per alceram inreniendus est ralor ipsius y.
2IZ R E G V L A
Dua modum docet reducendi omnem aequationem ra-
tionalem Fractione ex Ldo termino carentem, quae dividi
possit per aliam cujus zu terminus sit rationalis, es c.
Primum inquiro per ZI Regulam, an PropOlta X
quacio dirilibilis sic per aliam in qua nOn OmneS TCF-
mini extant; quod stieri nequit, erit divilibilis per 2.
liam in qua omnes termini extant, quam sequenti mo-
doinvenio. 1mo. Experior num dividi possit per x. I vel
aliquo divilore ultimi Termini; sineque hoc (ucce-
dac, facio aequationem ejuldem forma, quam mulci-
plicatione deduco ex tor aliis paribus, quoc paria ita
lumi gueune, ut productum eotidem habeac dimen-
siones quot Propolita aequatio, non annumcrando a-
quationem unius tantum dimentionis. Exempli gratia,
si aequatio Propolita habeat 8 dimentiones, contidero
duas aequationes, habentes 2 826, 3825, 4 e 4 dimen-
Tiones; aut, si9 dimentiones habeat, duas, quae 287.
3e6, 4e5 dimentionum fuerine, ex quarum mulci-
Plica-