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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 342, page id 845634801:0348
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L O N T V S
De Problentate Raymari.
Problema, quod a Ra) MaIOMIIe constructummerico conquereris,
dum suam propoluit circuli quadrationem, ita concipio et ab (olro.
P R OBL EM A VTI.
CRVCHIC CaS C rectangulum, cujus eria latera sine proporrionalia.
Exponatur linea AB secta in E media _L extTC.
maratione, ee Hac ea diameter circuli, quem ex
cirata normalis ad E. intercipiatin C, e conne
CtanEUE AC, BC. Triangulum igitur tcrectan
Gulum ACB, cujus lacus AC proportionale e
InTEF AB, AE. OUOnIAM VEEO PTOPONITUEAL
secta media e exrrema ratione, ideo propOF
tionales lUnEAB, AE, F. B. Sed d proporriona.
les quoque construuntur AB, BC, EB. Suncie
EUF AE, BC aequales. Frianguli igicur rectanS
ACB latus AC proporrionale est inter reliqua
duo latera AB, BC. Ouod Faciendum erat.
Cumm verOICd UaCTATAFLPFOPONUINE,
Si trianguli rectanculi latera fuerint proporiionalia, latus aurem quod ansule
recto subtenditur, staruatur diameter circuli: majus reliquorum laterum erit qua
dranti circumferentiae ejusdem circuli aequale.
quam longe ablint a veroita planum AE.
SIC AB 100,000
LIE AE seu BC 61, 803
EB 38, 19.
AC 78,615
Diamerex igirur cireuli aA quAdTANEEM CIFCUMLETCMEIL IC HADELCL, UF100,0
2d78
625. et angulus BAC HereE partIuIm XXXVIIE i Xxu qualium rectuSXC. Il diameser c
culi ad quadrancem circumferencia se habet proxime ur 100, 000 2d78, 540. LF cl
lacus AC constiruicur proxemodum quadranri circumterenrix aequale, angulus b
exICIE PAKEIUI XXLVLIE IX XUVI.
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