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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 4, page id 898203430:0196
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VINCENTIL VIVTANEDE. LOCIS SOLIDIS
issimum, ve per eam ipsam duas sibi Ctanguam novas lincas) com
parauerii, e hranc vecustiorum Geomecarum lIyperbolam aequilateram in
recenciorum lincarum numerum bIs asgresando, lub ordine prima ex luis,
ac decimae primae, reculiari Ausustistimo cognomeno decreuerie in potte.
rum nuNcUPandam.
PROPOSFLLCr.
Ocus Ordinatarum potentium summam ex rectan-
sulo partium, cum quadrato onius partis, est ad
concauum Paraboa, cuius vertex sit occursus datae
cum parte assumptas axis, (5 rectum latus sit ipsa data:
Sto data A B, cuius pars quaelibet A C, de per verricem A, circa.
axem AB. cum recto AB sic Par abola AD. Dico hanic este Locum
propoluum: nempe ordinatam CD possere..
ctansulum ACB cum quadrato partis AC.
Duadralum enim AC cum rectangulo
cum AC B aeguatur rectangulo BAC.
Sinc 2 quadrato CD, eo quod AB pO-
natur rectum Parabolae: _ hoc de quali-
bet Ordinara dec. Ouare concauum huius
Parabolae cM Locus propolitae Ordinationis.
PROPOSFL1CH.
Oeus Ordinatarum potentium summam ex rectan.
sulo sub data 65 parte cum quadrato eiusdem par-
tis, esi ad concauum Fyperbola aequilaterae, cuius ver
tex sit occursus datae cum parte assumpta, axis ipsa
data. latera vero eidem datae sunt aequalia.
IT data AB, cuus pars quaecunque AC, de per verticem A, circa
arem AB su Hyperbola A D. cuius verunque lacus aequale s ipli
datae AB. Dico hanC esse LOcuM PTODOLI
tum: hoc est ordinatam in ipta C D posse
rectangulum B A C sub data _ parte cum
guadrato ciuldem partis AC.
Sumatur AP. aequalis, et in directum
datae A B. Fc erie rectangulum B A C,
aequale rectansulo F A C, ee communi F
addito quadraro AC, exic rectanculum
Er. Prim
COniC.