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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 114, page id 898203430:0142
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=142
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INCENTIE NVIAMT DE LOCIS SOLWIS
 nor AC rectum latus B De (quod minus eric transuerso BD, quum
224
de FllipIIS  Oblone2) d re ditterentia inter lacera DB, BR ad tran (.
versum I B, IIa sIC A C  AaIII AL C COntinGCNEeF pOsicam ad A, cum-
que CentrO A, per vertices A. C, cum axe transuerto AC describantur
Sectiones oppolica AT, CO, quarum rectum latuS sit AC. Dico has
in punctis tancum A, C, datam Fllipsum concingere, de iplarU COnUCKA
esse Limites provolitae Ordinationis.
Ouod iple Flliplm contingant ad A, C; ex eo constat quod eadem
recta AC (ex A communi vertice verarunque Sectionum AB, AT, ducta)
aequidictas rectis in ijidem Sectionibus ordinatis, ideoque veranque Sectio.
nem contingic ad R: guare, quum ipla Sectiones sine ad contrarias parres
rectae AC, in vno cancum puncto A se mutuo contingem, pariterque
C.D in puncco tatrum C concinsie F. lliplm.
TT EIIipES oblonga AB CD, cuius centrum E, axis maior B D min
quadrato D B, Led quadraca L B ad B A est ve crantuersus axis DB ad
rectum TacS B R, erGO _ QuadraLII F F. ad F A erie ve eransversum ad
rectum, et difterentia quastraci F F. suPET P A ad FF, sive rectangulum.
EF GUm SE P B MaIOF E A, TUMIPEA F F ipA FB aquali, erie PF
rnum can um L. L constimentia.
Lam quum sic AC Bitariam secta in L, iplique aaecta AF II dixectuM,
maior E A. Compleatur quaCaH BL. LL3 adC IId L L, L L, L 1B
exic rectansulum C F A cum quadrato A F aequale quadrato FF, siue
5OD1C.
prim. CFA ad quadracum F F, siuc ad F. L. eric ve disserentia praedictorum lacerum
lum CFA aa Guacacum senmoramala Cx VI LCtoOa Guale lacas euu
drati FL. aesuul C Seordinacae ex Fin eadem Hyperbola, idcoque spla
transic ont per L angulum quadrari L. P: X similiter per reliquos angulos
aequalis BL, ergo ao LaluS L. B ad peripherium EIliprici quadran-
ad transuertum, vel, CA COMTC ALGOHL, VE LLL ACI LHIS VETDEAICILMLLCCLAIIU
FI, P, L huiusmodi Hperva cane cav lc. ICa est FB