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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 73, page id 898203430:0265
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=265
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VARIAR: DISPOSIZIONVM LIMIT. TIBER III.
BD, DI rnâ cum duobus sub AD, DF, sivc aequale est duobus cancum
sub AB, DI C ed quod (it DI communis corum. alticudo) vel vnico re
ctangulo lub DI in duplam AB.
Ouum igitur hactenus in veraque figura octensum sir quadratum se-
miordinatxe II aequale rectangulo sub DI in duplam B A, de semiordi-
natae BO aequale rectangulo sub BD in duplam BA, _ semiordinAE NM
rectansulo suh DM in duplam iplius B A, acque lemiordinatae AC rC.
ctanguso sub D A in duplam eiusdem B A, _ candem quadratum lemior-
dinarae F F aquale rectangulo sub D F. in eandem duplam B A, HabCANE.
que huiulmodi rectansula eandem balim, nempe duplam BA; quadeata le-
miordinatarum iildem rectansulis aequalia, nempe quadrata lH, BO.
MN, AC, EF, erum inter le ve rectangulorum alcitudines D I, DB,
DM, DA, DE. Ouare puncta H, O, N, G, F sunt 2 ad LOcum Par2- 2 20. primi
bolxe cuius vertex est D, rectum vero latus dupium est lateris A B dari Conic.
trianguli rectanguli A B C, cd quod omnia lemiordinararum quadrata.
aequalia sine rectangulis sub abscissis diametri seomentis in candem re-
ctam, seu in duplam AB. Ouod ostendere propolicum tuic.
eaed++t a
Oe undurum, ad eandem rectam normaliter secan-
tem diametrum dati Circuli, apte ordinatarum,
C9 aequalium fermentis aliarum per centrum ductarum
inter ipsam normalem, (5 peripheriam C irculi, tum
convexam, tum doncauam interceptis, sunt ad Flyper-
bolas oppositas aequalam laterum, quarum semiaxis
transuersus aequalis sit pendiculari a centro Ciircu-
li super normalem demissae.
l etunt ex u conterto conltabi, ia cxpoo, de deoulo.
Lo melet HC. de Guatm Vel da spam Proalitam mmirum ale a suI
extremitare C, ve in priima figura; vel extra Circulum ve in secunda; vel
intra, ve in certia, ducta sic normalis FF, quae vel Circulum continget,
vel ipsum extra se totum ad vnam parrem relinquet, vel secabit: segmen-
t0 vero C F diametri incer centrum, ee normalem, sumatur ex cadem dia-
St . H. K, 1p 2C12. 1B1B L. C MetrO
Sto Circulus ABC, cuius centrum C, per quod transeat quaelibet dia-