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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 374, page id 845634801:0380
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374
NA R TORYML DE ACF BVS A A FE EM A FFCIS
Isxeliquarum balium ordine luccedentium crit progrectus.
Fertia continue proportionalium, minus prima bis, exie xequalis bali an.
suli dupli.
Ouarta, minus secunda ter, basi anguli eripli.
Ouinca, minus certia quarer, plus prima bis, bali anguli quadrup li.
Sexta, minus quarta quinquies, plus secunda quinquies, bâsi anguli quin-
cupli.
Seprima, minus quinta sexies, plus certia novies, minus prima bis, ball
anguli sexcupli.
Octara, minus sexta sepries, plus quarta quater. decies, minus secunda
sepries, bali anguli sepcupli.
Nona, minus sextima octies, plus quinta vicies, minus cerria se decies,
plus prima bis, bali anguli octupli.
Decima, minus octara novies, plus sexta vicies septieS, MINUS QUATtAEKI
cies, plus secundanories, bali angulinovemcupti.
Peira in infinitum, ut per loca proportionalium imparia nora adfectio
succedat, adtrmatx videlicet nesata, negacx adtirmata. AC Proportiona
lesillae line semper alternae, e mulciplices quidem in prima adtectione pe
unitatis crementum, in secunda per numeros eriansulos, in Terria PCF NC
meros quos rocant prramidales, in quarta per numeros criangulo. Frian
oulos, e ita continue, secundum porestatis, cui proportionalis ad dicta
elt conditionem.
Vetiaec in Analyricis abunde, (ut
ficiencer que demonstrata dt expoli.
Ea TUNE.
Sit circulus sub a cenero, diametro BC
descripeus, et sumantur circumferentia
aequates CD, DE, E F, FO, CFL, YIL
LIE, es subtendancur BD, BE, BF, B6
BHI, BI, BE; sit autem dimidia BC
partium 100, 000; BD parrium 196.
000. Et ad datas primamB A, secun
dam BD. construancur proportionales con
nue. Unde fit.
Terlia
100,000,000,000,000.
196,000,000,000,000.
384,160,000,000,000.
752,9531600,000,000.
Duita 1, 475, 789,056,000,000.
Sexta 2, 892,546, 549, 760,000.
Septima 5, 669, 392, 237,529,600.
Octara 1F, 112,006, 825, 558,076.
C
200,000,000,000,000.
BD 196,000,000,000,000.
Erit BE 184, 160, 000,000,000.
BF 164,953,600,000,000.
B
139,259,056,000,000.
BA 107,778,549, 760,000.
BI
72,096,901,529, 600.
BK 333531,377, 238,026.
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