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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 7, page id 898203430:0035
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=35
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VEL LIMIT. ORDINATIONDM COMC. LIB. 1.
FX CenErO C ducanur Sectionum Asymptoi OO OR, _ 6S, OF.
aeque ex verice B. SIE COnTINGENS MN, quae AImpEOtIS (5O, GR Oc
currat in X, Y, ee Hyperbolae ABC, in M, N; Ordinatae vero Alym.
protos secene in O. S, Y, R, de In 2, 4, 73 9.
Lam, Constat 2 Tam reCtAN-
Sulu XM Y, quam OE P
aequale ese quartae parri Agu-
ra luxe Hyperboxe, hoc cA
eidem quadraro communis se.
midiametri coniusata C. I;
quore rectangulU X M Y X-
Quate est rectansulo OEP, his
isitur addito, vel dempto,
PIOUE requiritur, communi ee
CeangulO OM P, ACE LCCtaNOUI.
lum XOY aequale rectangulo
MFNs cademque ratione oltenditur rectangulum OSR aequale reclal
SuIo ADC, _ rectangulum 2 4 9 aequale recrangulo 358; Sed reCAH.
Sula XOY, QSR, 249 (quum ex proporeionalibus laceribus sINE CON-
Aicuta) inter se TUnE VE quadrata XO, 9S, 245 vel vi quadrata B P,
OV, GZ; ergo de rectanSUIA ME N, ADC, 358 sunc incer se ve ipla
quadrata CF, CV, CZ. Ouod et a demonstrandum.
l
O  t
eROPOSITFO V.
N Fyperbola. Ddistantia inter centrum, es focum
Potest quadrata semiaxium concucatorum.
In Fillipsi vero. Distantia inter centrum. (5 focum pon
test differentiam inter quadrata semiaxium ooniusatorum.
si
FE cam Fyperbolae, quam Fsiptis ABC, centrum F, axis er antuer-
 sus BD. Semiaxis coniuSatS F H, FOci vero C, F. Dico primum.
in Hyperbola, quadrarum distamiae L F inrer cencrum, de focum, qua
dratis Cimul BF, F. II aequale ese.
Nam, quum G, F, (IE
foci, eric rectangulum (+
BF equalC B QUarEX Pat-
titisurae, nempe aequale
quadrato F. H, ee addito
communi quadrato LB,
CFIE RectanDulum G B F
cum quadrato D B, hoc
est vnicum quadratum F.
FC est enim CF secta
bilaciam in Eo et non bi
Sec.
eexloder
ME.
lecurente
Bex 15. CeF.
ContC