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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 86, page id 898203430:0114
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# Lines: 41 recognised, mean confidence 0.91
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d
VIICENTII VIVIAMI DE LOCIS SOLIDIS
Nam A C xequatur recto laceri Parabolae D A C. SEa SACMPS
ret ex praesemti Agura; F. A enim AB.
quxe recto angulo A L B opponitE.
Temper maior lacere FB, Cr9O _ F F
ipsi AB aequalis, maior est cadem F B.
Ouare punctum F. cadit exera Circu.
lun; _ sic de lingulis punctis semior.
dina arum, ideoque tOMIS Simes Ca
dic exra.
Quod, in posterum, simili ratione
demostratum intellizatur de reliquis Or-
dinationum Limicibus, seu ad ramos,
seu ad alias quascunque rectas lineas, quae non sint breviores semiordina-
tarum spectantibus.
S C IIO L I V M
rum radus Circuli A B C aqualis si semirecto lateri deleripri Li-
mitis, erit exprop. XZ. primi nostri de Max. Q Min. Limes D A mi
nima Parabolarum dato Circulo circum scripcibilium, _ dacus
CircU.uS, maximus descripio Limiti inscripcibilium.
PROPOSITIO LI.
N Circulo. Limes Ordinationis ramorum ab orieine
inter centrum, es verticem, est ad Locum concauum
Parabolae, circumscripio trianculo inscriptae, cu
ins vertex est punctum bisecans axem trianculi sibi
circumscripei: rectum verd latus aequatur differentia
inter ramum maximum, 5 minimum: vel duplo dif-
ferentiae inter radium, C5 ramum minimum: vel du-
plo distantia inter centrum, (5 originem.
SCO CircuuS ABCD, cuius diameter BD, cenrum P, inter quod.
de verticem B sic in radio F B data ramorum origo O, per quam lit
Oranata AC, ac supra ipsam crianguum A C C portioni circumleri
pum, _ cuuS axis CO sic bitarium sectus in H, de per verricem H,
circa axem FTO sic descripea ParabOla TFTL, cuius rectum larus xquales
sic differenia iner maximum ramum OD, de minimum O) B, quae ve
Dater aequalis eA duplo distantiae FO inter centrum Circuli, de originem
(nam DF, EB sunc aequales) quaeque est differentia inter radium EB,
ee minimum ramum OB. Dico hanic Parabolum dato Circulo esse cira
cumleripiam, _ eAe Limitem propOlIuI.
tune.