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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 303, page id 845634801:0309
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exemplo, 
hajusB A
det
it
et
odi
( inC
leato iB
.
b. (et
est
Cumpra, mecitur quatuor rectos an-
sulos id est circumferentiam circuli
AB inccoram bis (quum anguli acti-
meneur in circum ferentia,) _E PExTer-
ea circumterentiam BC: igitur DB
lepties continuo inseripra, recidet
eandem in punctum C. _ quoniam
linex BD, DE ponuneur aequales, erir
circumferencia F B dupla iphuS DA,
(est enim FB complemencum dupla
iplius DB ad inceorum circulum.) Cir-
cumferenria vero FB aequalis est cir-
cumferentia DBI; quandoquidem
PESBD, DF aqualeS TUnE RECtE DF
El: est iraque circum ferenria ADLeri
Pla iplins AD. eodemque modo, quia
ectae lG, GF. ipsIS quoqueDF, FL
aequales sune: criccircum tereneia I E dupla iphuISAD, EOEaquE A D B E quincupla ipsuS
RB: dcreCtX FH, FL C iildem quoque aequales, quate TOca ADHE C. iphus AD erir sepru
Pla. FrgO ex Theoremate LeXIO,
Posica semidiamerro A L prima concinue proporcionalium, ip sa DB secunda, eaque serie concinuata
I recta C. B aequalis secundae sexties, minus quarsa quaserdecies, plus sexca septies, minus octava.
Innocis sit AE L. DBFN. 7 ~ - 14 C = 7 OC - 1 QOC, aquabieur ip si C. B. similiter et
determino quario expluabicur endem aequalitas.
AEverO ex prxeleripto Theorematum quinri ec octavi, constabirpropolitorum Pro-
olemacicn in infinicum Amphibolia, sicurest luxerius declacarum. qui exenipla deliderat,
Consulat VieTX LEspOnsun ad PFObLEMA ADR IANE R ONL ANL.
D R OB L E M A TTT.
Lineas rectas circumterentiis circuli in progressione Arichmericasub.
Cenlas, ex daca prima maxima velminima inseripea, et lecunda ei proxima,
in numeris syminetris caxare.
ExhocopuS ex ThcorematisC, 7 X 9deducitur, quod illic clare propolicum est et
demonstracum.
P R OB E E M a IV.
Linearum circumterentiis circuli in progrestione Arictimetica Tubtenla-
um Cummam, ex daca maxima e minima inscxipris, inquirete.
Hloc ottentum THCOemate 1O.
COR OE F A R YV M.
Mathemaricum igitur Canonem, secure ac faeliciter construet Analysta, e
constructum examinabic, adiusus analyticis hisce principiis. es edoctus metho-
num resolvendi potestates quascumque sive puras, sive affectas.
Ad constructionem aurem, primum inquiratur perpendiculum unius
crupuli, quam tieripotest accuratum, id que hacmethodo.
.Exlateris hypothecici lectione exerema e media ratione, dabicur pet-
Dendiculum paxtium 18.
SECTTONFS.
AD ANCVZ AR E5