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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 340, page id 845634801:0346
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140
c
A OB E E M A II
Data bale, alccume. de ratione crurum crianguli, invenire triansu
lum.
Oporieb autem, cum basis secadit ptoratione crurum; e rectangulum quod
sit sub seementis adplicabitur ad altitudinem, quod inde orietur, non minus esse
differentia seementorum basis.
Sic dara rrianguli ba ls BD, alcicudo Z, ratio crurum uc S adR. Oporrec invenire crianeu.
lum. Basis BD Secerur bitariam et ad angulos rectos in C a recta P. C quae Cc ip (1 Z. a qu alis.
_per AagaTUF FAC ip (I BD parallela. F adem basIS BD secetur in F. racione crurum uc lo
BE ad ED, SICUES ad R, _C AGAEUFHE ip h AC aequalis et parallela, e ira producarur in Lu
quod Ac(obHIE, EI Sc aequale eiguod
AETUBBE, E. D, eE secetuIF F.L BitatiAI
in K, _cenero R interrallo FK vel K
describatur circuluSquem AC COnTI
nuaca secer inpunctis L, M, aur demis
concingat in M. Secabicenim aVECON
tinger circulum illum AC. quoniam
cadens in eam ex cenero K perpendi
cularicer erir aqualis ip(IF C, cui ex
caurione adjecta Problemari praecta
bic aur demum erie aequalis EK Cemi
diamerer circuli. Denique acta MIF
sCCCEFO InN, _ connectantur BH.
ND. Triangulum igirur constructum
eAt BLID, cujus bats eA data BD, il
quam cadens perpendicularis NO AC
ip(i AC seu Z darx aequalis. Connecta
tur aurem IM. Suncigicur crianguli
Similia rectangula NHE, IMF, de el
NENLadIE, ita HIE ad EMI. Ouod Eciraque sub NE, FM aequale est ei quod tic lub tL
EL, id es rectangulo sub BE, ED. Ouare punCta B, H, D, M sune in circulo. In eo aurem l
centa BD secatur bitariam ad rectos angulos ab AC. quare lectio cA percenerum, dt lut
peripheriae aislales BMI, MD. angulusigitur BNL atiouIO E ND est equalis, e ideo ett b
adND, Sicu BL ad F. D. Friangulum isitur B H D descriprum est sub data ba(e BD, cl
jus alcirudo VD aequalis est imperacae L. let AC, ec BN ad ND se HabCE, UEBF ad F. D levr
A OBL L sit A Lll.
ueSadR. Guddlaclehdum erat.
Sic crianguli daca batis BD, alcieu-
do DE, adGrEBATUM CrUTUIM BF. C
porrerinvenire criangulum. CCntrO
B incerrallo BE describatur circulu.
EZII, INClIHENEUFAUTEM DF, DB aC
angulosrectos, ip laque DF duplice
tur in C, X per puncta , D delcri
bacur circulus CFID circulum HFL
contingensin EI, e sic circuli CH
Centrum A. itaque connectatue AL
Friangulu igirur costructum Cst ABL
EI
 paa
sub data balc BD, _ UNE AD:
9u2
Data base, alcitudine, et aderesato crurum criansuli, invenire triangu
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