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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 10, page id 898203430:0202
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VINCENTIL VIVTAMI DE LOCIS SOLIDIS
P R OPOSITIO XV.
Ocus Ordinatarum potentium summam ex rectaneu
lo sub data, (5 altera partium cum rectangulo par-
tium est LOcus planus; concauum nempe circumferen.
ria quadrantis Circuli, cujus centrum sit occursus da
ta cum parte reliqua, radius vero ipsa data.
(IT data AB, cuius pars BC, reliqua AC, _ CenrO A, cum radio
 AB Aiac Circuli quadrans B D. Dico huius peripheriae concauum.
esse Locum propolicum; hoc est ordinatam C D posse summam ex rectan.
culo ABC sub data, e parte, cum rectanou-
10 ACB sub parcibus.
Sumatur AF aequalis, de in directum cum
AB. Erir ergo, ob Circulum, quadratum Or-
dinax C D aequale rectangulo (ub FC, C B,
sed hoc aequale est rectangulo lub AC.
CB, quod est sub partibus datae via cum rectangulo sub F A, CB, vel
sub AB, ipsi AF aequali ex constructione, in BC, quod est rectangulum.
sub data e parte: erso C D potest praedictam summam: de hoc de qua-
cunque simili ordinata ec. Ouare concauum huius peripherix est Locus
Proxolica Ordinacionis. Duod exat dc.
P RO POSFTIO XVI.
Ocus Ordinatarum potentium summam ex rectaneu.
lo sub data, (5 addita cum rectaneulo sub coaddi-
tis, est ad concauum Fyperbolae aequilaterae; cuius ver-
tex sit occursus datae cum addita, axis ipsa ad dita, la
tera vero aequalia sont duplo datae.
IT data AB, eique addira B C, _ per verticem B circa axem BC
a Cu delcripta Hy perbola aequilarera BD, cUuS lac era aequalia si BE,
que sumpea ( dupla data AB. Dico huius
concauum ee Locum Propoluum: hoc eAt Or-
dinaiam C D posse summam ex rectangulo
sub data AB in addiram BC vna cum rectAN-
Gulo sub conddicis AC B.
Ouum enim Ayperbola sic aequilatera, de
E B eius tranluersum latus, eris quadratum
CD aequale 2 rectangulo sub F C, C B, vel duobus, altero sub FA, vel
sub
a 2T. Prim
Conic.