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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 339, page id 845634801:0345
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C A F F Y 5.
IL P D E N D I CVF A l.
OBDEMATIS, OUDKUM SCOME.
AYT R E GTOM ONT ANUS.
xi quaedam esse Problemata, quorum Geometricam con.
ArUCtIOMCI SC MCSCIFC QIE RCSIOMIONFANUS, Quanqua AI-
Sebrice, ut loquitur, ea explicet. Consilatut liber sis de
criangulis. AEAISebra, quam cradidere Theon, Apollo.
nius, Pappus, et aliireteres Analyae, omnino Geometri-
Cdest, e magnitudines, de quibus quaritur, sivere, sire
numerostatim exhibet, aut erit àepyror i à Nozor ceo bNqua
LresaererO
F80. Archimeden, aut ego Fuclidenmiser
Verso diurna, verso nocturna manu,
Subcilis arris aucupans palmarium.
Sed sive lectis quatuor Problematis
Orontianis, atque Scoflerinovem,
ritellionis quinque, Peurbachitribus,
lire alia, quam boniillius Poctae, se d aliquando licentioli, e in C comc-
tricis infelicissimi, non est capessere via, Problemata tamen illa Regiomon-
TanI CONSEFUXCKO.
P R OB L F M A I.
Data base trianguli, alcicudine, et rectangulo sub cruribus, invenire
criangulum.
Frianguli de quo quaeritur esto data balis AB, al-
cirudo xqualisrecta AC, rectangulum aurem sub
cruribus decur aequale ei quod Ec sub AC, AF.
Oporretinvenicecriangulum, cujus balis AB, alci-
cudo iph A C aequalis, et rectangulum sub cruribus
aquale ei quod Ac sub AC, AF. Inclineneur AC, AB
ad angulosrectos, X ip (_ AE, AB sccencur bitariam
IMF, D, _ per D agacUTDG ip(I C AF parallela, in
quaponatur A C ipsi AF aequalis, X centrO C in-
cerrallo CA vel CB describatur circulus. Denique
Per punctum C agaeur CK ip E AB parallela, se canS
circulum in L, K, de connectantur AI, BI. Intrian-
Suloioieur AIB cum ex vertice cader in batin AB
Perpendicularis IL, ipla eric alcicudini AC aequalis.
Agatur aurem diameter IGMI, d connectatur MB,
erixeriangulum 1BM rectansulum, d simile crian-
BulOLAL. Rectienim sunc anguli IL A, IBM, _ (-
ve anguli LMB live anguli TAB duplam amplicudi-
nem eadem veripheria lB definir. Ouarc estucIL
d AI, ita IB ad LM. Scd LM est dupla ipsiuS AC, e ideo aqualistori AF. Iaque rectan-
Fulum Cub IM, IL. consticuicur rectansulo sub C. A, AF. aequale, er eo eidem quoque aequa-
e rectangulum sub AI, 1B. Ad dacam icaque balin AB, ec alcirudinem IL, seu AC ita
contticurum est criangulum AIB, ve rectangulum sub cruribus aequale sic rectangulo sub
C, AF. Quoderatfaciendum.
RTOAM CONTSRLTETTONEM SE NESCTRE
PRO.