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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 32, page id 898203430:0224
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2
VINCENTA VIVIANL DE LOCIS SOLIDIS
Ouare concauum huius Hyperbolae est Locus propotiae Ordinationis. Ouod
Ct aC _C.
PROPOSTTTO LANALA
Ocus Ordinatarum potentium differentiam inter reu
ctanculum sub data, (5 parte, (5 quadratum par-
tis ejusdem, est Locus planus, nempe concauum peri
Pheriae semicireuli super datam deseripii.
GIT duta AB vicungne secta in C, super quum tiac lemicireulus HC
Dico huius peripieriam elle Locum propoluum: HOC CA OAM.
CD posse difterentiam inter reccangulum
sub data AB in parcem, exempli gratian
BC, e quadratum ciuldem purtis BC.
Manifeste enim id constat, quum re-
clangulum ABC disterac a quacrato BC
per rCCcanguIUM ACB, sive per quadra
tum ordinatae CD in Semicirculo. Ouare
CD porest praedictam differentiam: _ hoc semper REC. Ouare CONCAUWIN
huius semicirculi eA Locus propolicae. Ordinacionis. Ouod exat _c.
PROPOSITIO
Oeus Ordinatarum potentium differentiam inter re.
etanculum sub data in additam ipsa data minorem,
C5 quadratum additae; est LOcus planus, nempe con-
cauum peripheriae semicirculis super rectam aequalem
datae, eique in directum positae, descripii.
IT data AB, e addita BC, minor tamen AB, sumpraque BD ips
 AB aequali super iplam BD hiac semicirculus. Dico huius peripheriam
esle Locum propolicum: hoc est ordina-
tam C P porse differentiam inter rectan-
Sulum ABC, ee quadracum BC.
Id pariter per se palet; naI rectan
Sulum ABC aequatur rectangulo DBC,
sed diserentia inter rectangulum DBC,
e quadratum BC est rectangulum BCD.
Tiure quadracum ordinatae C P in semicir-
culo; ergo de disserentia inter rectangulum A B C, de quadratum BC
aeseuo