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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 142, page id 898203430:0170
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=170
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# Lines: 34 recognised, mean confidence 0.89
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VINCENTM VIVIAM DE  SCLICIO
4
vost summam LCmilaterI L. B, D L Lemirectum B F, de Semierantuer.
um axem BF; acque LL. Lemiaxis crameus Ls Perese Aeclatig.
lum sub datae LIrperbola lemiaxe eranluerlo L. B, in Praedictam quartam
inventam ES; eo quod FL. E media inter B F, L. S, ex constructione.
2.
APParCE quoque lemirectum laurs invenci zimitis aquale esse.
quaitae proportionalium post semicransuertum ipsius Limiris, Pemicran.
versum dax, ex semirectum ejuldem; quoniam rectangula sub femilace
ribus veriulque Erperbolae aequalibus quadraris aequalia sune, neMDE
quadratis aequalium semiaxium coniusaorum, L. HI, BF ec.
EROPOSITIO LXXIV.
NFIpperbola. Limites Ordinationis ramorum ab ort
eine oltra focum exteriorem, sunt ad LOcos conue-
xosillarum earundem oppositarum sectionum; quae sunt
Limites Ordinationis ramorum ab eadem orieine ad
aliam FIyperbolam datae oppositam ducibilium.
PE data AApper Bol ABC, CuiS vertes B, avis transversuS BF. in.
DTerIOY FOCUS F, exteriOI F, virra quem in producta B LF sit data
Or. 30 O. Dico, Si delcripta concipiatur per verticem L. circa axem 10
altera TIyperbola C IFI, quae Cu datae oppolica, de cuius incerior focus
exir F, exterior C, ac iuxta ea, quae construximus in Prop. Xxxxii. huius,
Sint deleripri Dimites CTP, HVS Sectionum oppolitarum de cangentium
Typerbolam CTH ad cerminos C2, TI, ordinatae per O, ad quarum con-
vexa pervenit Ordinatio ramorum ex orioine O infra Focum F ad Section
nem GTHI ductorum: Dico inguam ipsos Limites C FP, HVS esse quo
que simites ramorum ex eadem origine O ad datam Ayperbolam ABC.
Tam constat, quod quum Sectiones oppOsIa G T, TT A OppOsItaS
De va ABC, OTE concinsan ad C. IB in nullo alio puncto sibi ipsis occurm
mam 4.C0.
alto
Ducan
FeNC. 2