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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 180, page id 845634801:0186
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180
Li Dato innumeris cubo adtecto adjunctione solidi sub lateris quadrato
d data coefticiente longitudine, latus analytice clicere.
PFOPONALHEL C F 300, Xquari 86, 220, 288. Ouaeritur quanta maonitudOAEF N, Fd
dixre propoliri adfecti cabi: id est quadrarum cujuidam numeri ductum in lacus et in 30,
Facit86, 220, 283. Quaeritur quis sir numerusille.
FI86, 220, 288 cubusnon purus, se d adfectus adjunctione solidi sub lareris quadrato
ex dara coefticienre lonsicudine 30. Cubi aurem hujusmodi adfecti ordinata genelisi
geneli cubi purihoc rantum addic, ur lateris singularis primi quadearum ducatur in coet
ficientem longirudinem. Deinde lacus secundum ducacur in duplum rectanoulum lub
latere primo et coessicienre longitudine. Lateris denique ejusdem secundi quadratum
in ipsam quoque coesticientem longicudinem.
Ex adFecto ioirur hujusmodi cubo, uc ervancur latera, sedes uniratum sinoulares cu-
bosmerientium constiruentur solita arte, punctis subcus collocaris delionandxe; et quot
numerantur se des cuborum, punctare, coc quadratorum se des per binas videlicer alternas
houras (cum sic coëfficiens subquadrarica) collocabuntur desuper. Fr in ultima quadra-
eorum sede, quae alioqui prima sic dum cenditur a lava ad dexrram, ix Ca consister. Vnde
Si conster pluribus figuris quam una, prorumpenrin anteriora reliqua.
Hlis ica constituris, lacera non secus elicientur quam in analyli cubipuri, hoc ad dito,
quod ipsa coëtsiciens e divilorum numero est, ac insuper, posteductionem laceris lingu
laris primi, planum sub coefficiente ex duplo singularis laceris primi, eam ledem occupa-
curum, quae in anteriora proxima est à puncto in quo coëtticiens consictir. VOCCtIF du
cemplanum explerionis, congruentre scanlorium. Fc elicitorum laterum quadrara qui
dem ducuntur in ipsam coefficientem, ipsa vero lacera in planum explerionis, lolidis oua
inde hune sub conorua sede, qualem rario mulciplicationis exigie, delineneibus, et ute-
rendis cum Colidis reliquis ex propolico adfecto cubo.
Coefticiens denique in succedentia quadratorum loca, plano sux explerionis sempet
praecunce, ordine subjicirur, cum subrus diuisores quoque morebuncurreliqui. Vevide.
re es in paradigmare.
Paradisma analy seos cubi dafect dajunctione solat sub coefficiente
loncitudine E lateris quadrato.
L Eductio lateris lingularis primi.
Coessiciens lonsieudo
DE N V NE F R OS A
PR OB L E M A ICL.
Ilbsdolibe doblbbbo
Tot sedes pun-
ctave quadra-
000Z0t n
Cubus adfectus resolvendu
Solida ablariria-
Summa solidorum ablari.
iorum
Reliquum resolvendicubi
adfecto
TI Eductio lateris Mgularis secundi.
(elanum expletionis.
Divisorum la coefficience in du
pars supertor elum lateris primi–
Coëfsicienslongitudo.
N 4
16
Ottodito
166427
mert
circt
iica.
Cubus laterisprimi.
Solidum a quacraro lateris prime
in coefficientem lonsisudimen
Eib