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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 66, page id 898203430:0094
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VINCENTM VIVIANT DE LOCIS SOL WDIS
P ROPOSITIO ZZXVI.
N angulo rectilineo, cuius alterum laterum fiat axis.
Limes Ordinationis normalium super latus reliquum
est ad Locum planum rectae linee a vertice ductae ex-
tra anculum, cuius aliqua ordinatarum aequalis sit sua
normali in anculo dato.
TT angulus rectilineus quicunque A B C, cuius latus BC COnCIPILUI
ad axis, cui occurrane normales ductae super latus religuum B A, qua-
ZU.M vna SIE AD; a que ex A Sic Ordinata C A F, CUmatuIrqUe C F ipsi
AD aequalis, iunsatur recta BF. Dico hanc esse Limirem propoli um.
Cum enim obliqua AD Cuper BD maior (IE PCti-
Dendiculari AC, eric quoque PC, ip(I AD aequa-
lis, maior ipsa AC, hoc est punctum F cadet
extra angulum ABC, adeoque, de recta C F.
Si vero ex quocunque alio puncto lateris
BA, ve ab F, erisatur F C normalis luper
B A, de ordinetur per F recta HI: quoniam.
AD, FC lunc normales super eandem rectam,
inter se requidictabune, quare ve A D ad FC,
ita eric AB ad BF, vel ita FC ad IH ( ob requi-
distanies C F, III) sed permucando est AD,
ve ponitur, aequalis ipsi CF, ergo, de F C ip(I
HII aequalis, de sic de Lingulis Ouare BP. est Zimes profS. Ouod, dec.
Non me latet unico Zheor. eademq: ratione ac supra ostendi posse Lirmiites om-
nium simul ordinationum hoc J. Lib. exhibitos cadere extra sectiones datas, alta
men pro singulis propriam demonstrationem ad institurum cradere opus fuit.
P R OPOSITTO XXXVII
NV Circulo. Limes Ordinationis normauum sapet pa
ripheriam ductarum est ad Locum planum rectae linea
ipsam peripheriam continsentis, atque axi parallelae.
Sto Circuus ABC, cujus centrum s dIS
BD, cui sic AC aequidistans dueta per A
2c. munum semidiametri F. A ip (I F: B perpendicu.
laris. Dico hanc AC esse Timitem propolitum.
NVil enim clarius hoc: nam quaecunque
vormalis super peripheriam, quarum vna si
FE, incidic in centrum E, _ aequalis est ra
aio AP, Cuure sux ordinatae CTI. OUarC AC
eAt Limes propolitae Ordinationis. Quod, ec.
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