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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 28, page id 898203430:0220
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2d
VINCENTI VIMAM DE LOCIS SOLIDIS
 IT data AB, cuius parS AC, ee Facto vertice B circa axem B A cuIm
2d recto lacere duplo ipsins B A Aac ParabOla B F. Dico hanc elle LO.
cum propolitum: hoc est ordinatam C P. Posse differentiam inter quadra
cum porris AC, ee summam quadratorum
AB, BC, tocius, de partis religuae.
Disterencia enim inter quadracum AB,
ee quadracum A C aequatur duobus re.
ctanigulis AC B cum quadrato C B, Cr9O
disterentia iner idem quadratum AB cum
quidraco BC, e idem quadratum A C
requabiure duobus rectansulis AC B cum
duobus quadraris C B, qua omnia CimuI
conticiune duo rectangula ABC; sed duo
ABC aequantur quadrato ordinatae C D C quum ParabOIX B F. sIE AB
recti lateris dimidium) ergo quadratum C D est disterentia inter quadra
EM A C. _E LUMIaM qUadFATOTUI AB, BC; ee hoc de qualibet simin
li ordinrata _ec. Ouare concauum huius ParabOla est LOCHS PFOPOSIE Or.
dinacionis. Ouod crac etc.
PR OPOSIE LO AAKAI.
Ocus Ordinatarum potentium differentiam inter qua
dratum additae, (5 summam quadratorum datae,
C5 superadditae, est ad concauum l’ar abolae; ouius ver-
tex sit occursus datae cum superaddita, axis, (5 semin
rectum latus ipsa addita.
PIT data AB, eique addica quaelibet BC, _ per A verTICeM, CirCa
Daxem AB, e cum Lemirecto ciuldem AB describatur Parabola AD.
Vico tanc ese Locum propolirum: nempe ordinatum C D posse difteren.
tiam incer quadearum addicae BC, ee summam quadratorum AB, AC.
Ditterentia enim quadrari A C super
C B aequatur duobus rectangulis A B C
cum quadrato AB, ergo disterentia inter
summam quadratorum AC, AB, _ idem
quadratum C B aequatur duobus rectan.
culis ABC cum duobus quadratis AB,
quxe omnia simul constimune duo rectan-
Cula C AB, sed haec aequanur quadrato
CD, Cd quod AB Sic Semirectum F2
rabola, erso quadratum CD est difserentia inter quadratum addila
C B, ee summam quadratorum A B, A C datae, de superadditae: e
hoc de qualibet simili ordinata _c. Ouare concauum huius Parabolae est
Locus propolicae Ordinationis. Ouod erat dec.
PRO.