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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 60, page id 898203430:0252
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VINCENTIL VIVIANL DE LOCIS SOLIDIS
In Corobl. Prop. ij. huius tanquam nocum assumpsimus in semiparabola
(curus basis sit ea, quae ex foco ad axem ordinatim applicatur) maximum ex
crianculis rectanculis, qualia (in fieura, quae ibi conspicitur) semiparabola
inscribuntur esse semiaequilaterum: atque inde collezimus inter isoscelia isope
rimetra maximum esse aequilacerum: sed ne illud gratis assertum videatur se
quenti demonstratione virum que consirmabimus.
P R OPODLLT.V a
Soscelium trianculorum isoperimetrorum maximum est
aequilaterum.
 Tne quorcunque criangula CDF, C FL RC. XquicruEIA inter le, atque
ailoperimetra, _ quorum CD HI Sic aeguilacerum, dico id esse omnium
aximum.
Concipianur ipsa ita simul disposica, ve anguli balibus opposici in idem
punctum C COCanE, _ perpendiculares CE, C C, SbI MVEHO CONGFIANE.
22. huius. Tam Constat 2 Locum, ad quem conveniune iptorum criangulorum x-
quales lemiperimetri C D B, C F C este ad quandam Parabolam AB,
cuius focus sic ipsum punctum C, Temiordinata sie C B aequalis ACpreDAtO
vnius ex perimetris CDF, CFC dec. axis vero C. A sic dimidium ipsius C B.
Ft quoniam ponitur C DHI aequilate
rum, eric latus C D duplum DF, ee
duo simul C D F tripla ipsiUS DF, Sed
eadem duo simul CD P. aequalia sune ipsi
CB, ex nuper monitis, ergo C B eripla
CA F D, vel CL, sed eadem C B dupla
eAt C A, erBo C A selquialtera est iptius
CL, nempe CL dupla L A: GUADEO.
Pter recta MN, quae ex D contingit Pa
rabolam b abscindet Cx aXC AMI aequalem,
ipsI AL Cricgue MI. aequalis LC, at-
que ideo M D aequalis D H; de idcirco rectanculum C F D inscripnim.
triangulo MCN erit maximum ipsi eriangulo inseripcibilium, ac propterea
eo amplius maximum rectangulorum ips semiparabolae inseripribilium, (
ue maius rectangulo C. C F, vel alio quocunque similicer inscripto;
sed ipsa rectaneula C F D, CGF _c. aequalia sunc ipsis datis trianeulis
aequicruribus, de Ioperimetris CDH, CFI; _ CDII est aequilaterum.
ergo aequicrurium criangulorum iloperimetrorum maximum est aequilate.
rum C. DH; ee criangulum rectangulum C F. D, hoc est semixquilaterum
est eidem Parabolae inscripeibilium maximum. Ouod erat _c.
Bek 33. DEI
e COnC.