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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 400, page id 845634801:0406
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=845634801&page=406
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400
Y AREORVM DE REBVS MA LHEMA CACLS
CDKOLL A R F V M.
leaque Quadratum circulo inscriptum erit ad circUIM, Acuclatus illius
quadrari ad porestarem diameiri altissimam adplicatam ad id quod u
concinue sub apocomis laterum octosoni, hexdecasoni, polysoni triginta
duorum lacerum, sexaginta quatuor, cencum riginti octo, ducencorum
quinquasinta sex, ec reliquorum omnium in ea ratione angulorum late
rumre subdupla.
Sicenim quadratum circulo inseriprum polrsonum primum, octogonum erie lecun-
dum, hex decagonum certium, polygonum eriginca duorum lacerum quartum, et eo col
tinuo ordine. ltaque erir, ur quadracum circulo inseriprum ad polysonum extremu
seu intinicorum lacerum, Hent quoe hie luo spolomis laterum cetrasoni, octosoni, het
decagoni, e reliquorum omnium in earatione subdupla in intinicum, ad porestatet
diametri altillmam. Lc per adplicacionem communem, sicut apoomeslareris quadl
ei ad porestarem diametri alcistimam adplicatam ad id quod e lub apocomis laceru
octodoni, Hesdecasoni, de reliquorum omnum in ed larione sub dupla in intinicur
F.s aurem apclome lateris quadrari circulo sutete ipsi laceri aqualis, ec polygonulu
infinicorum lacerum circulusiple.
Sic circuli diameter 2. Facus quadralt et Cuo ns es pl sot N 2. quadracum ipsum 2. Aporome la
terisoctogoni 2. = V 2. Aporome la teris hexdecasoni N 2. F N 2 L V = Aporome lateris poly
sonitrieinca duorum laterum
ruor laterum
apocome lateris polyeoni sevaxinca qua
Et eo concinuo progressu.
-
2 + v
Sit autem diameter 1. CirCuluS LN. Erit = ad. L N, sieus N= ad unicarem auplicatam a
E+ Y+
quodd fit ex
quadraci = ad X poceltarum maximam adplicatam ei quod tc ex radice binomia L qua
dcari =. + radice X quadraro quadrari;, in radicem binomiam X quadrari =, plus raci
binomia Zquadraco quadcari =, + radice X quadrato. quadraco. quadrato. quadcal
iprodicem binbua LGuacal, Piuto LactCE BIHOMIX L quaaratO. Gua M al  Eac
ce binomia X quadrato. quadraro- quadrato quadrari =, Y radice X quactca10. 9
draco- quadeato quadrato quacraco. quadraro. quadrato. quadrari =, in radicem dc. 
intinicum ob lerrata unitormi methodo.
A P V Y XIX.
Heox o seh ad usum Mathematiei Canonis methodua.
veram Cyclometriam revoco,hoc est, ad legitimum Mathematics Ca
nonisulum. CHc enim rulso peccatur in ejus tabrica, sic etiam in ulu. Iage
dum renOvatur meus ad Canonem inspectionum liber, Analycicx nea
mechodi, qua (oleo, expedire me a criangulis planis ac spharicis, ultro ce
piam Facio ad excicandum vestra stucia per aliquod laborum, quos sultul
tis in abacis Astronomicis, subleramen. Neque vero obruene rosmita
cicudine PrXCePta. Tum enim nesocium visinci et uno dedouerois telu
ab (olVo.
AEd0-
T ros, O nobiles liderum observatores, milta Facta matxotechnia ac
1a