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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 38, page id 898203430:0230
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VINCENLH VIVIANT DE LOCIS SOLIDIS
TT data AB, e addica quaelibet B C ipsa AB maior, sumptaque BD
aequali ipsi AB. per verricem D, circa axem DC, cum recto lacere ipsi
AB, vel BD aequale describatur PAr2-
bola DF. Dico hanc esse LOcum propO.
Ticum: nempe ordinatam CL posse dif
ferenciam inter rectangulum ABC da
tae, de addica, ee quadratum datae AB.
Nam, quum sic AB aequalis B B, exit
rectangulum ABC aequale rectangulo
C BD, led difterentia inter rectaneulum
CBD, _ quadracum BD est rectanSU
lum CD B, live quadratum ordinatae
CE, Co quod BD politum sic rectum latus, ee quadratum BD aequaluE
quadrato AB, ergo e ditterentia inter rectancutum ABC; d quadia
cum AB erit idem quadracum ordinata C P: de hoc de lingulis Cimiliter
ordinatis aC. Ouare concauum huiulmodi Parabola eA Locus propolia
Ordinationis. OuOd etat ac.
eR OPOSITIO LX.
Ocus Ordinatarum potentium differentiam inter re-
ctanculum sub data, es addita ipsa data minore, (s
quadratum datae est ad concauum Parabolae, cuius ver-
tex sit in addita distans ab huius occursu cum data
per ipsam datam, axis sit additas rectum vero latus eidem
datae sit aequale.
ETT data AB, de addita quaelibet B C ipta AB minore, de sUmPI
BD eidem AB xequalis per verticem D, circa axem D B, cum recto la
cere aequali dacae AB hiac P ar abOla D F. Dico huins concauum este Locum
propolicum: hoc est ordinatam C F. pos-
se disserentiam inter rectangulum ABC,
ec quadratum AB.
Nam quadracum CF. (ob Parabolam)
aequale est rectangulo sub recto A B,
vel BD in DC, Led hoc est disterentia
inter quadratum BD, ee rectangulum
DBC, quadratum vero BD aequale eA
quadrato AB, d reccangulum DBC
aequatur rectangulo ABC, e18O e qua-
dratum CF. ditterentiae inter quadratium datae AB, de rectangulum ABC
ex data, et addita aequale eAt: ee hoc de Singulis Cmilibus ordinatis ec.
Ouare concauum huiulmodi Parabolx eA Locus propolutae Ordinationis.
Ouod crat ac.
PRC