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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 68, page id 898203430:0260
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68
VINCENTIL VIVIANL DE LOCIS SOLIDI
uni DA aequale cA quadrato segmenei C B absCIHII CX ARC ab ordimatim
ducta AC, cum reliquo quadrato B D semirecti lateris. Ouod primo
Oltendendum crac.
Sit modo ramUS D C lupra OrdinataM FI, _E COnCIPIaTT CD produ.
etus ad alteram partem vique ad Parabolam in A, e ex C, D, A, Ordin
20. primi nentur ad axem, quae in figura. Frit erBo recta C.B act BFL ZVE quadrNTIM
AC ad CH, vel vi quadracum CD ad
DFI (in Similibus crianoulis ADC, C.D
HI) quare tres CB, DB, EIB sunc in ca.
dem ratione continua, licu, e iplarum
difereHEa CD, DHI. Ouamobrem.
quadratum C B ad B D est ve qua.
dratum DB ad BHI, _ ve quadrarum
CD ad DH, _ duo simul CB, BI
2d duo simul D B, B FL, ve rnum.
CD ad vnum DEI, vel vernum DA
ad vrum D C; sed permurando duo
simul C B, BD aequalia superius demonstrata sune vnico quadrato ran
D A intra ordinatam FD L, ergo _ duo simul D B, BFT guadrato cami
DC supra eandem ordinacum sunc requalia. Ouod secunco erac demon.
strandum.
Insuper de quadratum rami D F ordinatim ducti xequatur rectarieiilo sub
DB in DF rectum latus, sed eA D B dimidium D F, ergo idem quadra-
tum DF aequatur duobus quadraris DB, hoc cA quadrato Pegmenti axis
DB cum quadrato semirecti DB. Duod supererat demonstxandum.
Hinc Locus praedictarum porentium est ad concauum, Parabolae piope
sIX _C.
Ex hac Le se otere mechiodus toluendi sequens
u e dd uc e
R O P
Atis, vertice axis, (5 semirecto latere, Ld ad
in plano per puncta desoribere.
det
ET describendae Parabolae axis AB, vertex B, de semirectum latus M
BA. oporcet iplam Parabolam tuco, ac prompre in plato per pun-
eta descrivere.
Lrigatur ex B ips  Despenencuats, a aeuats BC, Mcaueue
ad axem quorcunque ordinatae AD, F F, C FI _c. de junctis lubtensis
CA, CF, CO _C. ex A termino semirecti cransuersim appliceneur ipsae
aliasonales vlque ad proprids or dinacds: nem pe CC in AH, C A in AB.
C F in
COnICo