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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 63, page id 898203430:0255
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VARTAR: DISPOSTTIONVM LIMIT. LIBER II.
eatione inscripeibilium quadranti C A F, atque ideo maius quocunque
alio triangulo rectanouto ACB: Sed trisngulum rectangulum AD F ba
sim habet AD pocencem criplum quadraci lateris DB, ex Hypocheli, er80
idem A F D maximum est huiulmodi criansulorum rectangulorum, in.
quibus agoresata quadratorum basis, ee vnius lacerum sine aequalia.
Duod octendere propoluum fuerat.
P ROPOSITIOXII.
Ocus, quem attineunt termini basium isoscelium
a trianculorum, qua ad angulos basibus oppositas
sint composita, (5 quorum accrecata quadratorum la-
terum sint aequalia, est ad concauum Cllipsis, cuius cen-
trum sit in ipso communi vertice ansulorum; (5 semia-
nis maior trianculorum axibus conoruens possit tri-
plum quadrati semiaxis minoris.
X demonstratione sui converk ita expositi, ac demonstrati latis axpa-
 rebic prOPOTiTUM.
e Fllips clus semianis maior posit tripium quadralt
Semiaxis minoris, summa quaat alctum lacram var
cunque trianculi isoscelis, cuius vertex sit in centro
Fllipsis, basis vero sit ad maiorem axem ordinatim du-
eta, aequatur duplo quadrati semiaxis maioris.
SIO FllipS AEFC, CuIS CCM Sd sCanIS Mat L pCS
L triplum quadraci semiaxis minoris B C, applicataque ad B A quiICUN-
que FC iunetisque radiis BEs BC
criangulum aequicrure F. B C, COn-
Ricuencibus. Dico lummam qua-
dratorum laterum F. B, BG, G F.
duplo quadrari B A aequale esse.
Fst enim Ve reCtangUIUm F BA
ad quadratum BC, ita 2 rCCtAH.
sulum FD A ad quadratum DF,
ed rectangulum FB A, vel qua-
cracum B a criplum est quadrati
BC, ex Hypocheki, ergo e rectangulum F. D A criplum est quadrati DF.
a all.
21. Prim
oniE