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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
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F LIYME ROS
CONSEOTALCETM BBHLRALE AD ANALESIN PTESIA.
V M A DFECF A RY M
Et praeceptorum quae ad eam percinent, recollectio.
Frooin analysi porestatum adfectarum eadem omnino locum habene
PExcepta, quae in analy si purarum. Ouic quid praeterea mysterii est, verla-
cur praecipue in litu coefficientium luboradualium magnicudinum, ac c2-
cum quas diximus, expletionis, ab ipsis ridelicet coeficientibus, de cliciun-
dis singularicer laceribus, aur corum parodicis ad porestarem gradibus, et-
fectarum.
Praceprum primum.
De singularibus porestatibus per puncta delignandis, et cocf.
ficientium ordine, a litu.
Prima igitmr cura CAto, uE quor puncta singularium porestatum adnorabuntur tub A-
guris, persendo a dextra ad laeram, cor puncta condirionaria gradus, quem etitur co-
eficiens, adnocentur supra Aguras, pergendo quoque à dexrra ad laeram, et in ultima le-
de coëfticiens consistat.
Nempe S coesticiens es sublateralis, quoc puncta singularium porestatum adnora
buneur, cocadnorentur puncta lareralia, nulla videlicet fgura intermedia relicta.
Si sub. quadrarica est, cor puncta quadrarica, una ridelicer Roura intermedia re-
licta.
Si sub. cubica, cor puncta cubica, duabus videlicer Exuris intermediis relictis.
Si Cub- guadrato- quadratica, cor puncta quadraco. quadrarica, tribus videlicer Rguris
incermediisrelictis.
Si sub. quadraro. cubica, cor puncta quadraro. cubica, quaruor videlicet figuris in-
termediis relictis.
Si Cub. cubo. cubica, tor puncta cubo. cubica, quinque videlicet tiguris incermediis
relictis. Ecira in intinicum.
Praeceptum secundum.
De cducendo latere lingulari primo, d efficiundis ab codem homoseneis
cum relolrenda magnicudine comparandis.
Secunda cura ecto, uclacus lingulare primum cruarur tub ultimo adnorato singula.
rium porestarum puncto, quod quidem primum occurrie, dum e concrario à laevarendi-
cur ad dextram. EF porestaslaceris lingularis educti adnoretur congruenter, ita videli
cec ue delinar sub sibi addicto puncto.
Idem latus lingulare, rel ejus parodicus gradus, qualem cocfticiens meritur, ducatur
in coefticientem, vel coesticientes lubgraduales, ec Facta hujulmodi homogenea adno-
teneur quoque congruenter, ita videlicer ur delinane in sedibus sibi addictis.
Ex ita demum adnorara, cum porestas lareris lingularis educti, tum effectae magnitu-
dines poreltari homogenex, comparentur cum propolica magnicudine retolrenda. Di-
Ainguenda aurem lunc nod5.
Lnimvero, si adfectio estper adtrmactonem, tunc poreltas lateris singularis e ducti, de
effecta magnirudines ei homogenex auterentur e propolica magnicudine relolvenda
cum alioqui, quando resolvenda proponirurmagnicudo pura, auterenda sic Cola singu-
laris porestas prima. Ouaigirur methodo elicietur lacus illud singulare primum, ne de
ludacur Analy sta 2 Er in conspicuo est habendam eserum magnidinis propohra resol.
venda, cunc coelticientium rationem. Sed posthabica coelticientis racio Analystam non
elucet, quando coëtliciens semora est longe in posteriorr a puncto poreltari singulat
prima
unm muo.