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# Title: Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences (shelfmarks Leibn. Marg. 71; ZEN Leibn. Marg. 71)
# Folio - , page id 806933011:0598
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1i0
Prilm, Wrhole Alcitude Mhall bC A 5 Or P. S; alle
this MaII be the Parabolick Cuneus, irhrich must
licte C vevedu I5 12. a
DictonS.
The General Eguarion ol chele Curres, jo
X
=, y wohere p and g are the In.
dexes, andris the Latus Rectum: Thac is, bC- Proporrion decreatins torards the Verrex.
cause oFr a stable quantitr, x  = y, Wohere-
Fore in Fluxions py y = gX  x and and r0 L Cone oF the lame Bale and Feight, a5
Tromche General Equation, it is y P= . x 4 = L = 10 L.
::x: y Wheretore substicurins x and y, instead
oFy and x  in che Fluxional Equari-
On, We Have p X y = 9y x, but alL X y = 2II
STTMN = che Complemenc, and all y 3
=aII P LMNY = che Area: The Area there
tore isro rhe Complement 25 P. 9. 8. F. 7.
PARABOLTCK eyramidoid, is a solid Fi
Sure, (0 named by Dr. WVallis trom its Genesis,
Or Formation, ertrich is a5 Follos.
Pec all the Squares ot ehe Ordinate ApplI-
cates in the Parabola beimaginedro be s0 placed,
thac che Axe MalI PaIS chro all cheir Ceneres ae
Right Angles.
Then ill che Aggresate oF thele Planes,
Wrhich he prores beforero bc Arichmerically pro-
porrional (Prop. 9. WVallis Con. Sect.) Form the Pa-
rabolick Pyramidoid.
Whose Solidier is sain d by mulciplyins che chen D AD: D SHI:: BD: BH, (By chese-
Base by hal che Alticude: The realon oF wwhicti
is elear; For its component Plains beins a Series
OF Arichmetical Proxorrionals beginnins trom o,
their Sum ill be = rothe Exreams mulciply d
Dy halthe Number oF Perms, 1. c. in the pre.
cond Properey ol ie Lato) at 15, do 3101,
WVherctore tis Plam, lhac che Squares on SFI
TLand AD, (25 al(o on SB, T i, and A C) anc
the Circles an(vering FO Them, WHI DC IH AIICI
sent case = 20 the Base multiply d by halEche merical Prosretion, Or 25 F, 2, 3; and chus ic
heighic.
PARABOLTCK Cuneus, is a Solid mention d
by che lame Auchor, and Formed chus.
srection, will bero a Rank ot as many equal t0
thegrearest a5 s +02, and consequently, che Pa
rabolicte Conoid, will be just halt che Cylinder.
Q. L
d
And a Cone beineZ Ot MeCMinaer, IHC Conor
willbe = r = otic; and theretore Cylinder, C0-
ot necestier be equal ro che Parabolicte Pyrami-
doid; beins all che Component Rectangles in
one, are sererally equal E0 aIl cHC COMIPOTICNE
Squares in the ocher.
PARABOLICR Conoid, is a Tolid Figure made
Oy elle Rocarion oF a Semi-Parabola abOnLiES AXC,
atd 15 = 2 oF iis circumscribins Cp linder: And
the Circles which mar be conceired ro be the F
lemenes of this Figure, are in an Arichmerical
ALLRABOLTCK Conoid, AS BhC, iS 1O 2
Cylinder oF che lacl Bale and Hleighr, a5 F 1023
Lex BD be divided into chree equal parrs ;
and S AD: TI:: BD: BI:: 3 : 2
vill be ad inshirum, it chelurec tens be bis-
sected, and those again Bissected, (90. BuF a
Ranke oF Numbers in simple Arichmetick PrO
noid, and Cont WIII BC 25 3, +5, 1
PARABOLTCK Spinale, is à Colid Body made
by Rocation oF a Somi-Parabola aboue its Ordi
nate, and is equal to =3 oF its circum scribins
Cxlinder, Cavalerius FxerC. Geometr. P. 282
metreal.
PARABOLISMOS, che Came wwich the DC
pression os an Lquation. Sec Equation, NI. 3
PARACELSISTTCR Medicines. Sec Ter
e Follomina Cenerat Merhod for cho
Ouadrature os all manner of Paratio
PARACENTESIS, Or Punctio, is a Pertora
tion oF the Chest, Or Abdomen. IE is made ir
the Breast, when chac is Aussed wich purritiee
rebra. Tris made in the Abdomen, wrhren chat is
NatteF, Or WVater, and then thC PerForation is
made in the side vcech esle Atrh and SixrhV er
ATulciply aH che D BS inco the DSS, Or which Svelled By a Droplie, and BCat ie Linea AIBa
liqua
is che lame chins, mon che Bale d te a  atn ciulet alcend eipht Di ou