Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences, fol. -
Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.86.
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The machine reads it as
- 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
Cite
Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences, fol. - . Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/806933011:0598?run=74