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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 290, page id 845634801:0296
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 115 lines, status machine
# Lines: 115 recognised, mean confidence 0.77
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CE F O R P. M A F H
similirudine jam demonstrara, provenient rriangulorum angulorum mulciplicium late.
290
ribushomologa in infinicum, ea qua propolicum est mechodo, ur ex cabella subjecta,
clarius perlpicele e.
anculisimpli.
Hyporenusa.
aneulimuliptio
Frianculi rectanculi
ratera circa rectum. Eyporenusa. BasB. Libenavelil.
Basis. Perpendiculam.
Dapla.
4.
DI
Triplae.
Potestas
rationis.
Z cub.
Dcub.
Dg. in B3.
Din B9. 3.
BCubo
Mali pla. 2.99.
1.
D
D in B4. 3.
 BCub.
b.
8;
Ouadrupli.
Dcub. in B4
Dg. in B9. 6.
D in Bcub. 4
B49.
D96
D99. in B5.
Dc. in B9. 10.
D9. In B6. 10.
2.99.
+ B99.
D49.
=Dg. in Bg. 6.
Cuincupli.
Obad. int B4
Din B CHB. 4.
Dg9. in B5.
Z. 96. =- D0. l B4. 10. =Dg. 1H B6. 1C
D90.
Din B99. 5. + B96.
Cuincupla. 2.90.
DMb. 44.3.
B96
Acqueco in intinicum propresta, dabitur lacerum racio in racione anguliad ansulum
mulcipla, ur praeseriprum eAt. Duod erac demonstrandum.
Proponatur crianeulum rectaneulum cujus basis 10. perpendiculum r. es angulus acuvus ejusdem in
cellieatur simplus.
ad trianeulum anguli dupli paruetur basis 99. perpendiculum 20.
Ad trianeulum angulieripli, stacuerur basis 970. perpendiculum 299.
Ad crianeulum anguli quadrupli. statuerur basis 9 401. perpendiculum 3960.
Ad criangulum anculi quincupli, Racuetur basis 90050. perpendiculum 490OF.
Cum autem factorum nequic fieri suberactio, arrumentum est anculum mulciplum esse obcusum.
que casu nitidominus excesus factorum alsenabicur laceri. e anculus subrensus incelleecur extela
mulcipli.
D L Mt A LLFL 1.
Phras o odat.
Si tuerinc Mansula rectangula quorcunque.  horum secundiansu
acurus sic duplus ad acucum primi, cerrii eriplus, quarei quacruplus, quila
aquincupsus, e eo concipuo nacuraliprosrecu, primi auremcrianoulipet
pendiculum catuatur prima proporrionalium, balis ejuldem lecunda, ed
que leries continuetur.
In secundo, erie balis ad perpendiculum uc certia minus prima ad (ecun-
da bis.
Incercio, uc quarca minus secunda cer ad cerciam ter, minus prid. Y
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