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# Title: [Francisci Vietae Opera Mathematica] Francisci Vietæ Opera Mathematica (shelfmark Leibn. Marg. 101)
# Folio 319, page id 845634801:0325
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portiona
EtioneP
EFH
l0. Hial
mabu
encun
102
DrUMP
edet
iest
H
d
E S P O N S V M
Secunda vero concinue proporcionalium L N. eadem que intellisicor perpendiculum triansuli ad an-
eulum perementis submultiu.
(Dupli.
nario ducencium incrementum labella.
Perp.
Bast
LPerp. )
Tripli.
Ouadrupli.
Sexrupli.
Sepcupli.
Octupli.
(Noncupli.
Sic poreMtAS ratIOnIS quadcaBe. quincuplae, adtecta proltaphaererice eo prosressit, ee
adplicaca una cum homogeneis sub gradibus ad congruas unicaris epansphoras, agua-
lis est basi ejus crianguli cujus angulus acucus ad acurum primi est quadrase. quincuplus.
Progrellui aurem illi consemiris quem érabella emendicarum designarit in luo Proble.
mate AdrIANUS ROmanUS.
COROLLAREVM I.
Ea his manifesta fit otess eau rectarum quae circumferentiis cireult
subtenduntur.
DE EF, PG, OFL, LHI, TK, _E CUBLEHCAHEIEBB, BE, BF, BC, BEI, BI, BR. Subcenla igituE
E lumr vales eliatsulorum rectansulorum, quorum hypocenula communis est dianecet
BC. e ad angulum acucum DBC duplus
est angulus acurus E BC, cripluISFBC,
quadruplus CBC, quincuplus HBC, et
eo concinuo ordine.
COnSrUAnEUE aurem concinue pro-
porcionaleslinea rectae, quarum prima
SIEipG Semidameero AC aequalis, lecun-
da ipsiBD.
Terria continue proportionalium
minus primabis, aequalis erit ipsi BE.
Ouarra minus lecunda rer, aequalis
27OC
CC bitur
O0
OCc
90OC + ICCC
Et eo infinirum concinuando ordine, adscica sipit numerorum concinue crianeulorum suum a bi-
Equa L Pero. (angu. ) Duincupli.
it
Bast
In circulo cujus A centrum, diamecer BAC, sumaneur circumterentix aequales CD,
PARZ, SCRDE. SEC.
Ipsa (CD. XV. XXVIIT. XLIL.
PABE. Erreliqua, uc est oratmatuns primo ad reloluriones Theoremate.
Sit AC seu Prima
BD seu Secunda
Terria
Ouaria
100,000,000,000,000.
196,000,000,000,000.
384, 160,000,000,000
752,953,600,600,000
Eric  Ouinta 13 475, 789,056,000,000.
Sexta 2, 662,5463349,766,000.
Septima 5, 669, 392 237,529,600.
Oclara 1L, 112,006, 825, 558,620.
BE 184, 760,000,000,000. verb
BF 164,953, 600,000,000. GIru- CF. XXXIV. XXVI. VI.
Itaque erit) BC 139, 159,056,000,600. feren
recta ) BA 107,778,549, 760,000. i
BI 72,096,901,529,600. Semis. CL. LXVIIL. LTT. XII.
uBR 333531,3373238, 016. Ses. 1C
XX. XX. 2IY.
RUE
CE. XXII. LVII. XXIV.
C6. XLV. LIV. XLVITI.
CH. LVET. ZZIII. ZXX.