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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 21, page id 898203430:0213
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ORDINATARVM POTEHTIM LIII. LID. II.
NTT AB daca, _ addica B C minOT ipLa AB, CeNEO VerO B de M
nullum B A Aiac C irculi quadrans FD F. Dico huius peripheriam eAse
Locum propolium: hoc est C D posse dif.
terenciam inter quadrata AB, BC.
Tunsarur B D, ee icidem propolicum
palam Aiet. Ouum enim quadratum CD
sic differentia incer quadra um BD, _
quadratum BC, eric quoque disferentia in
tet A B quadratum dacae, aeque ips BD
aequalis, _e) quadratum addicae BC: de hoc de Singulis MIHIBUS Ordinacis
_C. Ergo concauum huius Guadrantis est Locus proxositus. Duod erac_c.
PROPOSITTO XXXII.
Oeus Ordinatarum potentium differentiam inter qua
dratum data, (5 quadratum additae, quae sit ma-
ior data, est ad concauum Flyperbola aequilatera, cu-
ius centrum sit occursus datae cum addita, vertex ve-
ro a centro distet per intervallum datae aequale, ex ad dita
abscissum, ita et semiaxis transuersus sit aequalis datae.
 IT AB daca, ee guauis addica BC ipla AB maior, ex qua lecta B. D
datae AB aequali, cum centro B, per verricem D Aiac Hyperbola
aequilatera DE. Dico ordinacam C F. Po(.
Se disterentiam incer quadrata AB, BC.
Ouum sic enim AD bitariam lecta in.
B, eique sic addita D C, erie rectangulun
ACD cum quadrato BD aequale quadra
co BC, rectangulum ergo ACD, CuC (.
bi aequale quadratum C F, ob Hyperbo.
Jam aequilaceram, elt differemia inter qua-
dracum BD, Sue in er quadracum dacae AB, de quadratum BC, nimirum
addicxe: ee hoc de Cingulis similibus ordinatis eec. Ouare concauum hu-
iulmodi Hyperbola est Locus proposia Ordination S. Quod erat etc.
PROPOSITIO XXXII
Ocus Ordinatarum potentium differentiam inier qua
drata partium datae, vel interrantium, vel coad
ditarum; est ad concauum Parabola, cuius vertex sit
punctum bisecans datam, focus vero sit terminus da-
tae ad partem Ordinationis sumptus, vel cuius rectum
latus duplum sit datae.
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