# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/806933011:0700
# Permalink to this reading: https://leibnizlegible.com/page/806933011:0700?run=74
# Title: Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences (shelfmarks Leibn. Marg. 71; ZEN Leibn. Marg. 71)
# Folio - , page id 806933011:0700
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=806933011&page=700
# Source image: https://digitale-sammlungen.gwlb.de/content/806933011/jpgs/default/00000700.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 117 lines, status machine
# Lines: 117 recognised, mean confidence 0.91
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

FOT A is made By che Bulriplication oE b a ire
Base byche Line be; and B is al(o made bY MuI
ciplrins cb ies Base by che Came Line b e (Or its
equal cf.)
Buc che Product ot any rrvo Numbers Mutcipli
ed byrhe same Third Number, are as those Num-
bers vere co each ortier betore Musciplication.
Theretore,
1: B: : ab: bc. D. F. D.
Fence all Rectansles, Or Parallelozrans, Berweer
the Came Parallel Lines, or Wwhich tave che same
Flciehe, must be 10 one anortier as cheir Bales
arc.
Forthey are all equalto Rectansles, on che lame
or equal Bales wich chemselres, and consequeney
must hare che Came Proporrion t0 each Ochet, 25
Tuch Rectangles; that is, be to cach ocher a5 cheir
Bales. 8. F. D.
And che Came thina must BC ErUC OE all Frian
Eles chac are becwreen the lame Parallels, or which
have the Came Feighe; because ther arethe halres
Ot chole Parallelorrams. Sec che Fisure.
Suns Piace in the Fctiprick on the Globe, ce che
Sraduaced Side oF che BraIs Mexidian, 10 eterare
ihe Pole abore the Florizon, 25 much as is the L a-
lricude oF thePlace, and co sc che FTour Index exacHy
corvelre at Noon, scremins alloche Ouadrant ot
Alticude, (iF there De occalion) 1o che Zenith. AII
ehiis is comprehended under ihe W ord Rectifi. IhC
Globe: And wvhen chis is done, che (Celectial)
Globe representsthe true Potture of chie LlCavens,
For the NoonOF chac Dar ic is Rectifred FOF.
RECTIEIEK (in Narisation) is an Instumene
consistins OF EVO ParES, Which are evo Circles ei-
cher laid one upon, or lec into the other, and (0
Fastned rosether in their Centres, That chCy repre-
sent vo Compasses, one Aixed, the ocher move-
abse; cach ot them divided in the 32 Points or che
Compass, and 360 Degrees, and numbred boch
ars, boch trom che Norrh and the Souch, end
ins ac the Past and WVest, in 90 Desrees.
The Fixed Compass reprelenes che Forizon, in
Wrtichche Norch, and all’ ihe orter Poines of che
Compass are tixed and immoreable.
The Moveable Compass reprelems the Mariners
Compass, in wtich che Norih, and alI che ortex
Points are liable eo Variarion.
In the Centre oF the Moveable Compass is Fastned
2 Silk Thread, lono enough co reach che ouxlide oE
the Fixed Compass. Buc it rte Instrumene be made
ot Wood, chere is an Index instead of che Thread.
Irs OPeis to find che Variation of the Compass, 10
Rectisie che Course ac Sea; havins che Amplicude
Or Azimurh oiven.
REOTIETINC os Curves, (in Mathema-
ricks) is eo sind a Arair Line, equalto a Curved
One; or a Plane equal ro a Curred Surtace.
OE chis Dr. WVallis sare the Frst FTinE tO the
Vorid, in his Arichmerick of Intnires, Prop. 38.
C9 Scholium.
Soon atrer which NIP. William Neil axplved
those Considerations to che semi-cubical Paraboloid,
Where che Cubes ot che Ordinates, are 25 che
Squares oF the Diameters: And Meved char there
the nall Segments oF che Curre, cur by ttre Ordi-
nares at equal Dittances, are as che Ordinates in 2
Parabola; and cheretore their Squares encreasea
by Eiquals, in Arichmerical Progrestion: Where-
Fore chac Curre must be 10 a Righe Linc :: 25
the Frunk of a Parabola, cothe Parabola: Wrhich
the Ouadrature oF che Parabola beins known, is a
RECTANOOLAR, or Rishr ansled is spolen Hnonn Proportion, and chis wvas che tirst ACemPE
OF a Plain Figure in GComerer, When one Or more oEthis NaturC. Buc ic Was atrerwards (oon de-
ot irs Angles are ristie. OE Solids, tis spoken in
respect oFcheir Scituacion: For it cheir AXIS BC per-
pendicular to che Plane oF the Horizon, ther aic
cheretore Rectangular, Or Ristr Cones, Cytin-
ders, (90.
RECIANEOLAR Section os a Conc, by chis
the Anciene Ceomerers alvars meane a Parabola,
Wrhich Conick Section, betore Apollonius, vas onty
considered in a Cone, whose Section by the AXC
vould be a Friansle, Righransled ac che Verrex.
And hence ic Was cha Archimedes entituled his
BookoFthe Ouadrature of the Parabola, (25 tis no
called) by che Name oF Rectanguli Coni Sectio.
RFCTIFTE, OE Rectification, in Chymister, is
ehc Distillins over asain of any Spiric, in order 10
a more finc, and pure sare; and Eo separate From
monstrared also by Sir Christopher Wren, my Lord
Brouncker, and by Dr. Wallis. And the Year FOI-
lowins, viz. 1658. Sir Christopher Wren Mered che
Curre oEche Crcloid, 1o be Onadruple otits Axis:
Wrhich was the second Demonstration OF a Scrait
Finc equal ro a Crooked onc. OF which sec
DE. WVallis S Fnstist AlSebra, P. 292, (9c. Sec more
also in his Exceltent Book de Crcloide.
REOTILINEAL, or RighE lined, in Geometry,
is sposien ot such Figures as hare cheir Exrremities
aII Righe Lines.
RECTT Minores, are ENO Cnall Muleles oF thC
FTead, appearine Boch in BighE ac once: Ther arile
Aesty FrOm che POsteriOE PAEE OF chC AEA Vertebrae
OF the NecK; and are C0 inserted to che midale
Parr ot che O5 Occipiris in ruo Mallon Deprectures
IE any Fleteroceneons Parrs, chac mighe rile wich ir oF che Caid Bone. Theletrom cheir VCe, may De
Betore.
Called Renventes or Nodders backvards, and are
RFCTIEIE, is a ord uled in che Descriprion Antaconists rorhole we call annuentes.
and use oF GIobC, or Sphere. FOr The Ars ThinE, REC FO, i5 a WVrit oE RiohE, and is oF s0 hish 2
to bcdone betore anr Problems can be wroushe on, nature, char wwhercas ocher WVrirs in real Actions
che Cilobe is 10 Rectisie it. Zhat is, 10 brins che) arc onty corecorer che Posselion Ot Lands or Lene.
HenIS
AII Rectangles, (25 A ane B) Wwtilch have che
Came heishe, arero one dnoiter as cheir Bales.
TRaLIS,
A: (B:: ab: bc.