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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 3, page id 898203430:0195
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DDRDINATAErM POTEMLLN LALL. L1V. H.
PROPOSIFIO III.
Ocus Ordinatarum Potentium rectanculum sub data,
C5 addita, est ad concauum Parabolae; cuius ver-
tex sit occursus datae cum addita, axis ipsa addita,
rectum vero latus sit ipsa data.
PIT A B data linea, eique addita B C, de per verticem B, Circa aXeM
D BC sic Parabola B D, cuius rectum lacus sic dats A B. DiCO hanC
esse Locum propotuum: hoc est si ordine.
tE CD, hanc posse rectangulum sub data
A B in addicam BC.
HIoc pariter constat ex eadem xi. primi
Conicorum. Nam quadracum ordinatx
CD aequatur rectansulo sub recto latere
AB in diametri segmentum BC: de hoc
de qualibet ordinata dec. Ouare concauum
huius Parabola eAt Locus propolua Ordinationis.
PROPOSITIO IV
OCuS Ordinatarum Potentium rectanculum sub co-
additis datae; est ad concanum Fyperbolae aequilan
tera, circa additam descriptae, cuius vertex sit occur-
sus datae cum addita, axis verd transuersus sit ipsa
data.
ETF data AB, cuius partes conddicx sinE A C, CB, de pet verricem
B, circa azem BC, cum ade transuerlo A B Aat HIY perbola aequilate
ra BD. DicO hanc ese Locum provolium: nempe sI Ordinetur D C,
hanc posse rectangulum A C B sub coaddiris.
Hoc itidem, ve dici (olet, vel Caeco ap-
Parec ex prima Fypesbolae proprictate,
aeque ex hac ipla constructione: Nam.
cum FIyperbola su requilatera, recransu-
lumm ADB aequale est a quadrato (uX OF.
dinatae DC; de hoc de qualibet ordinata ac.
Duare concauum huius Hyperbolae eAt
Locus propolitae Ordinationis.
Insionis haec, non minus quam vulsata HIyperbolae proprietas, Tanta
existimationis suic apud masnorum operum Scriptorem nostri aeui luculen.
FisTium,
primi C0