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# Title: [Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ (shelfmark Leibn. Marg. 149)
# Folio 116, page id 1032977698:0138
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F16. Analysis Infinitorum.
C ar. II.
seu omnibus criangulis OD H; unde limilia,
ac supra, deduci posene.
TL. SIE FIZ. ZXIX. Figura A FO cadem
qux S. 2; (ynibOla, qH_ In S. 3; TAHBAE YD
curram in D, VoCCtuTque TO: F; CrIE PrOp-
cer criangulorum F9D, D E F Cimilicudincin.
=Ont: AD, y:: DI2, e: EHL, a. unde yt
Fa: Guare ob paralletaS FG, DY, existente
CY a, A linea ZO, in PM; normalis ipsi
EP, Catuatur; eric rectanrulum CY MI X = ta:
idque s hiac toties, donec per puncta ML K.
deleribi POSIE CUEVA X L ML NO; constabie
spatium. X FO toridem ta, quocrectangulis
ye Agura AFO constat: quare, quia CeMPCE
y0ta, crunt omniaye = roridenita, hoc est
spatium AFO aequalc spatIOO F K.
Coroll. F. Sit + FO parabolitorinis, a AC
d
vOCaTAx, ejuS quatiO rB = qX 4 = yP; CrIC,
juXta 5. 29, C ap. L, Z9 CCut=
X a
m
q; unde
spatium FO X = OM. 4; jam vero quia
RD = A B = X, _ BR =a, erie erilineum
S AF aquale omnib: BRDF sCU OM. L. X a, CX 8. 4,
X a
sunt autem omn: 9 ad ommia x a ut p ad g s
D X a
sed onia q  OMN: yC CEGO OMN. yC ICII
dataparabola AOF, ad complementum S A F
(cu Orim. Xa, uc p 2d g. hoc cM parabola AFO ad rC
ctan