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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 174, page id 845634801:0180
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174
Minusautem resolurorio opctt Taonex ad mavis idoneas arre ita revo.
cantur, uchacelolillarum relolutio obria AaE Cx ROTa inteF an
barum racces letca Veltaltohe.
Flis igitur praemissis ad rem accedos aC primUM ad A N A L Y F FC A PO
testatum adtectarum adtirmate.
L ROBLEM A L.
dixre propolir adtcc Guadraci.
Id cst. Ouidam numerus ductus in se ec in 7, Facic 60, 750. Ouaeritur quis sirnume-
rus ille.
Es 60, 250 quadracum non purum sed adfectum sub. latere ee data longirudine 7.
AC adFectum Guere oussse QuacaC de PtM teduei adnoracum est. Se d ars ge
neralis generalicer proponenda cA, ne incidatur in errorem vererum Analyctarum.
Ouadrari aurem adtirmare adFec Mmaca gencls, geneti quadrari puri, hoc tan-
tum addic, ur lacus singulare, quod primum elicitur, ducatur in coëfticienrem longiru-
dinem; deinde larus quoque secundum ducacur in eandem.
Ex adFectoiginir quadraco ux ermantur latera, sedes unicacum quadrata singularia
merientium per binas alternas, ut in analyh puri quadrari, distinonuneur houras, punctis
commode d dexrra ad leram Tubtus collocaris.
FE quoc nuterantur le des quadrarorum puncave, corlacerum simpliciumve ledes.
coefficiens longitudo constiruentur per lingulas houras deluper, posirisque eriam
punctis delignabuncur, de in ulrima larerum sede, quae prima hc dum pergirur à leva ad
dexeram, coelciens longirudo consistet. Oux si conster pluribus liguris quam undi
prorumpene i anreriora reliquae.
Fisque ira constituris larera singularia elicientur non alirer quam in analys puri qua
draci, nisi quod ipla coefticiens in dirilorum numerum adleribitur.
Ex elicira sngularia lacera ducuneur in candem, plano quod inde se sub sede coeri-
clenris delineme, dl alelendo ex autecto propolito quadrato.
Denque coctciens LucccaeMa oCL ordite lubjicitur, cum subtus divitores quo-
Faru d analyseos quadrari adfecti sub latere adfirmate.
TE ductio laceris singularis primi.
sublateralis.
laceralia, quot (N. 2 4.
DE. NV M E R
 dato in numeris quadrato adfecto adjunctione plani sub latere ee datil
Lcoetticiente longicudine, Lalus atice elicere.
PrOPONAtUE +O. F 7 N, adaequari 60, 750. Ouaeritur quanca sic magnicudo L N, 12
Tot punciala( 000 Fornumerales et
quadrasin 9. 4. 16.
que ereduncu enut, M in paradiomare.
Coessiii consuudo
clana nol
Summa planorum abla-
eutorum
Reliquum resolvendi qua
drato ausecto
Puncta qua-
drarica.
culi, quot p
adrarica:
rave sinelari
Duauratum laterisprimt.
Planunt a latere primo in coeffictete
TTEdu
divi
urio