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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 35, page id 898203430:0063
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VEL LIMIT, ORDINATIONYM CONTC. LIB, I.
PROPOSITIO XX.
N Parabola. Semibasis trianeuli circunscripii; quae sit
inter verticem, (9 foeum. potest rectanculum sub axe
trianculi in sementum axis inter basim, esi centrum
Moduli comprehensum.
Praedictum aurem sermentum semirecto Parabola aequale
est.
Sto Parabola AB C, cuius axis BD, vertex B, _ fOcUS C, inter
L quem, e verricem sic basis AC crianguli circunseripti AF C, de Sit
NY I. Modulus ex verticali B C trantuertim applicata ex D in angulo
DBC, _c. Ciusque Cenrum sic P. Dico primum quadratum lemiordi
nata AD, rectangulo P D P aequale esse. Insuper sesmentum DP eidem
requari lemirecto,
duadratum enim rami D B 2d
guadratum rami DA eA ve a rectan
Gulum NBL. ad NDL, Sed antece
dentia, nempe quadrarum rami D B,
quod est dimidium cocius D F (0b
ParabOIX TANSCNCE AF.) ex rectan.
gulum N B P. Cune B ae qualia, er30
e consequentia, sive quadratII Pa-
mi D A rectanoulo N D L aequale
exic, Ced huic aequatur c rectangulum
PDE, ergo de quadratum D A aequa
de est rectangulo PDE. Ouod primo, dc.
49. Primi
Inluper quadratum D A, ob Parabolam, aequale est a rectangulo sub Conic.
DB in rectum latus, ergo, e rectangulum PDF. aequale est cidem rC-
ctangulo, quare DB ad DF est ve D P ad rectum latus, sed D B. (C.
missis CA TOEIUS DF, erSO e DD, Segmentum axis a centrO Moduli vI.
que ad balim crianguli circumleripei, dimidio recti lateris aequale erit.
Ouod, ec.
240 primi
hurus.
B 18. huius
2d num. 6.
c ibidem.
Bum. 3