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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 296, page id 845634801:0302
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E E O R E M A
E I E OR E Mt a VII.
Si a puncto in circuli circuMFerentia SuManEE Partes quotCU que X qua
les, eab eodem educantur rectxe lineae ad sumpearum circumterentiarun
aequalium cerminos: constitratur autem leries linearum rectatUM COnt-
nueproportionalium, quarum prima sic xequalis minimxe eductx, (ecunda
aminima (ccundae, is reliquarum eductarum ordine luccedentium exlepro-
Srectus.
Fertia continue proportionalium, minus prima, erit XqualisFerriX.
Ouarta minus secunda bis, guarrae.
Duincaminustertia cer, plusprima, quintxe.
SCZEAMIHUS GUaFEa GMaEeF, pIUS SeCUNdA TeF, CCXEX.
Septimaminus quinta quinquies, plus certia sexies, minus prima, seprime.
Octara minus lexta lexies, plus quarta decies, minus secunda quatet,
Octava.
Nonaminus seprima sepries, plus quinta quindecies, minus cerria decies,
PluS Prima, RONX.
Decimaminus octara octies, plus sexta vicies e semel, minus quarta vi
cies, plus secunda quinquies, decimae.
EE ica in infinicum uc per loca proportionalium imparia nova adtectio
SuCCedat, aHIEAEX neSata, negaEX adtirmata: e proportionales illa lill
semper alcernae, ee mulciplices quidem in prima adfeccione per unicaltu
crementum, in secundaper numeros criangulos, in FCxFIA PEF NUMErOS P)
ramidales, in quarca per numeros criansulo. criangulos, in quinta per n
roscriangulo. prramidalesi ab unitate, ut in porestatum genesi, luum du.
CenteS InCreMeNTUM.
Sirperipheria circuli secta in parces quorris aequales ab a ssumpro puneto aliquo, à qua
ad aequalium circumterentiarum cerminos educancur rectae, quarum minima (IC L.
hac vero secunda B. F. Kixirur ex Theoremare quareo ur prima ad secundam, ira lecunc
B
ad compoliram ex prima de cerria: exic icaq;, cerria aequalis = 9. = L. d.. Eademq; mettio
do quain praecedenriuli sumus reperiencur B C. - L, g. in B2: quarca.
B99. -2. 9. in B9. 3. + Z 98. quina.
B9c. -Z9. in Bc. 4. +. Z. 49. in B 3. Cexta.
P. 49
Seprima.
B99c. -Z. 4. in BGC. 6. F Z49. in BC. 10. -Z Cc. in B 4. octava.
L.CC.
Bgec. - Z 9. in BCc. 7. F Z. 44. in B4915.  Z. cc. in B4. 10. + Z gCC: nona.
Z99C.
Becc.  2 4 in B94c. 8. + Z. 99 in Bgc. 21. - Z. Cc. in Bc. 20. + Z. gcC. in B. 5. gecim 2.
Z.GCC.
Fademquerarione et religux proportionales in intinitum, co quo propolicum est mu
do attectae, eduetisin circulo rectis equales producemur. Ouo derat demontranau
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