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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 33, page id 898203430:0225
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BRDTHATARVM POTENTEM LIMIT. EIB. TI.
aequalis est quadrato ordinatxe CF: de hoc semper dc. Ouare concauum
huius peripheriae est Locus propolicae Ordinarionis. Ouod exat ec.
PROPOSIFIO LI.
Ocus Ordinatarum potentium differentiam inter re-
ctanculum sub datas (5 addita, quae sit maior da-
ia, Cs quadratum additae; est ad concauum LEyperbo-
la aequilaterae, cuius vertex sit in addita, (5 distet ab
occursu data cum addita per rectam aequalem data, es
cujus latera ipsi datae sint aequalia.
OIT AB daca, de quaelibet addica ipla maior sit BC, a qua dempta
BD ips data AB aequali, per verticem D, circa axem DC describatur
Hypcrbola aequilatera DE, cuius verunque latus sic aequale iphDB, vel
dacae AB. Dico iplam Hyperbolam ese Locum propolicum: nimirum
Ordinata C F. Posse disterenciam incer
rectangulum ABC sub data, de addita,
de quadratum additae BC.
Ouum ecenim sic AB aequalis BD.
de quaecunque DC ips adiecta, erie re-
ctangutum A B C aequale rectansulo A
CBD; Led difterentia inter rectaroutum
CBD, d quadratum B C est rectangu-
lum BCD, live, ob Hyperbolam aequi-
lateram, est quadratum ordinatae CF, ergo de differentia inter rectanou
lum A B C claca, _ addica, de quadratum idem B C, nempe additae,
erie idem quadratum C B: e hoc sempet dec. Ouare concauum huius
Hlyperbolae est Locus propolicae Ordinacionis. Quod etac _c.
LEMMA IY. PR OP. LII.
Y recta AB secta fuerit bisariam in C. Cs non bisa-
Driam in D. Duadratum maioris scementi AD aequa
tur rectanoulo ADB sub sermentis inaequalibus; ona
cum duplo rectanculi AD C. sub maiori sermento in
interposium C. D.
 Viatur C F. aequalis CD, X eric reliqua A F aqualIs D B. Tam
quadrarum AD aequatur rectangulis sub A D, D C, de sub A D,
AC.