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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 20, page id 898203430:0212
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2C
VINCENTH VINIAMI DE LOCIS SOLIDL
sub data A B, in reliquam parrem A C.
Sumatur DF aequalis DC. Ex guum siC
DB aequalis D A, eric d BF XqualiS AC,
de ideo rectangulum ABF aquale FCCtan-
Sulo B A C; difterentia itaque inter rectan-
Gulum ABC, de B A C cadem erit, 2c
inter idem rectangulum ABC; _ ABF;
sed haec est rectangulum sub AB in CF,
vel sub dupla AB in dimidium C F, hoc est in CD, vel rectanouio sub
recto latere Parabola DF in DC; hoc vero aequale eA a Quacr, NO Or.
dinatx CF, ob ParabOlam, eroo CF porest praedictam disterentiam; ee
hoc de singulis similibus ordinatis sc. Ouare concauum huiusmodi PAg
Bolae est Locus propolica Ordinationis. Ouod Crat dc.
PROPOSITIO XXZ.
Ocus Ordinatarum potentium differentiam inter quan
dratum datae, (5 quadratum partis, est LOcus pla
nus: concanum nempe quadrantis peripheria Circuli,
cuius centrum sit occursus daca cum parte assumpia,
radius vero sit ipsa data.
GIT data AB, de lumpta pars BC, centro verd B ad incernallum BA,
hac quadrans Circuli AD F. Dico huius peripherium esse Locum pion
volicum: hoc est ordinatam C D posse dif-
terentiam inter quadracum datae A B, e
quadratum partis BC.
Tunsatur BD, S stacim propositum p2.
cebic. Nam quadracum CD est differeniia
incer quadratum BD (ipsis surul quadratis
BC, CD requale) de quaciratum BC; er.
80 _e inter quadratum AB, xquale ipsI BD,
e quadratum BC: &e hoc de qualibet simili ordinata Rc. OuarE COnCd
uum huius peripherix e Locus propolix Ordinationis. Quod erat _c.
PR OPOSITIO XXXI.
Ocus Ordinatarum potentium differentiam inter quat
dratum datae, C quadratum additae, quae sit mi-
nor data, est LOcus planus. nempe concauum peri-
pheria quadrantis C irculi, cuius centrum sit occursus
ceadditarum, radius vero ipsa data.
2ti prit
COn16.