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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 69, page id 898203430:0261
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VARTAR: DISPOSTTIONNM EIMIT. LIBER ML.
CF In AF, ec C B in AB (nam C B incidet in punctum B, quum ipix
CB, AB sinc requales ex constructione) a puncta H, D, F, B crunc
ad Locum describendae Parabolae, hoc est cuius verrex erit B, de lemire-
ctum B A. Ouod ex ipla constructione, atque ex converlo superioris de
monctracionis ee per MI. VI. primi Elemeniorum latis conctat.
AC R criangulum rectangulUM ABC
non fuerie aequierure, sed tamen facta
Timili constructione, ac in praecedenci.
punctum C tac polus subeenlarum, A ve.
ro polus transuerlalium; his non obsLAN.
tibus. Dico cransuerlarum terminos esse
ad Locum concauum Parabolae, cuius tC,
ctum lacus axis duplum sic datae AB, ver
tex vero axis eiuldem su in eadem recta
AB, qui est vercex triangusi aequieturIs
super basim primae lubten(a C A deleri,
Pei. Ouod lequencibus demonstrabicur, duobus praemissis Lemmatibus.
Delet olent earees sit Bod et cil
LE M M A IL. PR OP. ZX. in
  i og et C
N quocunque trianculo aequicruri. Ouadratum basis
aequatur duplo rectanculi sub ono laterum in sermen-
tum ejusdem inter basim, Cs perpendicularem super
idem latus ductam ab extremitate reliqui lateris interce-
ptum.
1. f 
Sed ABC criangulum aequiertire quodcungue, CS DatS AC, de ex
Lo cermino A laceris BA. Cuper reliquum lacus B C. (ipst B ane s
perpendicularis AD. Dico
quadratum BasS A C reCtaH.
Sulo sub B C in C D bis
umpro aequale esse.
Onum sic enim angulus ad
C aCUTUS, eFIE QUadTATIIM AB
cum duplo rectaneuli BCF
requale quadraris simul AC.
CB, Ci isitur verinque aute-
raneur aequalia quadrata
nempe quadrata lacerum AB,
CB, remanet quacratum BasIS A C aequale aUPIO LEClangUI B C D.
Duod erde demonstrandu.  i d C DC EtEPistid d Cum
211. 131. BII
e
10
e
LEMMAMII.