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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 75, page id 898203430:0267
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TARIAR: DISPOSTTIONVM LIMIT. LIBEK VI.
Gulo ADL aequale est quadrato MD, nam est AL secta bitariam in M
S ips addica L. D, eroo quadrarum idem CF Xquatur quadratO MD, sin
ve linea C. F. linca MD; eAque C B, sive C C aequalis M F C quum in
Sechuda AeurA (InE P C, M C aequales, licque ipsis communis CM; in
TCLTIA VerO F C, MC sinc aequales, _ F C sic communis) ergo reliqua
F B aequalis eric reliquae P. D, sive oppolx FI in parallelogrammo DF.
Denique, ex superioribus primo ostensis, est MF. aequalis radio CG,
Sed MO aGUatuE quoque MD ( quum lx ex aequalibus MA, MLS de
aequalibus OA, LD COPONANTUE)  MD aequalis nuper oltensa es sipsI
CF, ergo dux simul antecedenteS MF CUM MO, nempC TOT P O, sive
F N aequatuI duabus simul consequencibus C FI, G F, hoc est vinicae se
Canti F HI. Ouod vlcimo octendendum crat.
1.
1
Elinc apparet Locum omnium abscistarum ex diamerris dati Circuli
ABC inter normalem P F, d peripheriam AB C extra Circulum inter
ceptarum, _ ad iptam normalem ordinatarum (qualis est extCriOE FB Or-
ditata in FY) esse ad Experbolam aequilaceram L I: Locum vero reliqua
rum inceriorum abscissarum inter normalem E. F, ee dari Circuli peri-
pheriam incercepearum, atque ordinacim ad iplam normalem applicata-
rum, led ad conrrarias partes (qualis est FII, in FN, _ fi in fn) esse ad
aliam Ayperbolam An N prima oppolicam, cuius axis verrex idem sC
ac vertex primae diametri dati Circuli, verarumque semiaxis cranluersus
AM aequalis sic perpendiculari G F ex centro Circuli super normalem L. F.
ductx. Duod in Propoliione expoluum fuerat.
De Locis solidis nonnulla spartum demonstrauit Pappus Alexandrins
in luis mathematicis Collectionibus, quae postmodum L’edericus CoMan.
dinus more suo doctissime illustrauic; quumque in iis perlesendis pauca
quaedam annoraverim, eadem in huNC IOCUM RCCOHLEYE, NCC PIXTCL LEM,
nec inutile fore iudicaui.
Et primo, ex Propoliione xaxir. Libri quarri, in graciam eriparcitionis
dati anguli rectilinei, sequens CAOTMatL: c
ROPOSFTHO XY
Ocus, quem adnsant vercices trianculorum super ed
dem basi descriporum. C quorum anoult ad alte-
rum basis terminum aapii snt antulorum ad reliquum,
est linea Fyperbola, cujus focus sit ad terminum basis,
in quo sunt anculi toliquorum dupli, vertex verd sit
in basi, per huius trieo a Socd asta . axis
transuersus sit sntam quod suporest ex eadem basio