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# Title: Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences (shelfmarks Leibn. Marg. 71; ZEN Leibn. Marg. 71)
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E lo
Four such plane Angles as all rogether must be lels
than four righe ones: S0 chac wvith Triansles ris
impossible 1o form any more Regular Bodies chan
chese rHTCC.
IF pou take Squares and join threc DF them tOBC.
ther, ther will make the Angle ot a Cube; and
there Can nO Other Regular Body buE a Cube bC
made with Squares; For Tour Squares joined rose
cher, will noc mate 2 Solid Ansle, buc a Plane.
IE vou join che Aneles oE chree Pentagons toge-
ther, rou will constiture che Angle ot che Dodeca-
Bedron. Buc tour such Ansles cannor mate a
Solid one.
And chree Fexazons joined cogertier, do make
just four righe Angles, and cheresore THeY CANNOE
make a Solid Anele. And as for chrec Heptazons
Or Other Figures ret ol more Sides, ther can much
lels do ir; becaule cheir Angles beins verry obtule,
chrec of them will exceed tour rishe ones. S0 chat
epon the whole, eis plain, that ot chese Five Regu-
lar Bodies, chree are made ot Friangles, one ot
Let ar bethe Diamerer ot any Sphere, and da 
OFic. = ab = br. Frect che Perpendiculars ae, ct.
Sguares. and one of Pentrgons, and chere canbeno and bs, and draw de, df, er, fr, and er.
orter.
The Proportion os che Sphere, and os che Five Reou-
lar Bodies inscribed in thesame; from Peter HO.
rigon, Cursus Math. Vol. T. P, 779, And Bar.
rons Fuclid, Lib. 13.
The Diameter OF che Sphere beins 2.
The Circumf. oF the Greatest Circle
Superticies of the grearest Ciroles
Superkcies oF the Sphere
Solidiey oF the Sphere
Side of the Tetrahedron
Supertcies oF a Tetrahedron
Solidier oF a Terrahedron
Side oF a Cuhe or Pexahedron
Superticies of the Frexahedron
Solidier of the Frexahedron
Side ot an Octahedron
Superticies otthe Octahedron
Soliditr oF che Octahedron
Side ot the Dodecahedron
Superticies of che Dodecabedron
Solidier oF che Dodecabedron
Side ot che Tcosihedron
Superticies oF the scosihedron
Solidies oErhe Cooschedron
6. 2831
3. 14YE
12 56637
4. 1885C
1. 6229
4. 618
0. 15133
1.
154
1. 5396
1. 4142
6. 928.
1. 3333
0. 7136
10. 5146:
2. 785TC
1. 0514
9. 57454
2. 53613
IE OnC OEchese Five Regular Bodies vere requir d
20 BC cur oux ot che Sphere OF any orher Diameter.
twill be 25 che Diamerer oF the Sphere 2 is 10
the Side oF anr one of Solid inscribed in the lame.
(suppose rhe Cubc F. 1547) 50 is the Diameter O.
any ocher Sphere ((uppole 8.) 10 9, 2376, che Side
ot the Cube inscribed in this latrer Sphere.
Then vill
1. re be 25 Side OE che Ferrahedron.
2. ds is che Side oF the Fexahedron.
3. de is the Side of the Octahedron.
4. Cut de in exrream and mean Proporrion in B.
and ah vill be rhe Side ot che Dodecahedron.
5. Sec the Diameter dr up perpendicularty ac r.
and trom che Cenre c, co irs POp, deaw che Line
es curtins che Cirele in s. Let Fallche Perpendicu-
lar 8b. S0is br che Side oErhe Loosihedron.
RFGDLAR Fieures, in Geometr, are Tuch
whole Sides, and consequeny cheir Aneles, are
aII equal tO one anOrHer.
Whence all Regular MulcilateraL Planes are calId
Regular Polysons.
The Area oF such Figures is Epccdily Found By
mulciplring a Pexpendicular let falltrom the Cenere
oFche Inscribed Circle ro any Side by halethat Side,
and rhen chac Produet by the Number oF che Sides
OF the PolYSOn.
REGDLAR Forrification. Sec Forritication.
REODLAR Curves, are Tuch Curves a5 the Peri-
meters of the Conick Sections, Which are alvays
curred alter che same Regular Geometrical man-
NeF.
Bat Trregular Curres are luch as have a Point of
Inftexion; and which beins continued,, do rurn
chemselres aContrarY Way, a5 the Conchoid, and the
Solid Parabola ertrich hath a Sguare FOr IES ParA-
meter.
REGDLATOR, a small Sprins Belongins coche
Ballance in the ne Pocket. W’arches.
RECLS. Sec Basilicus.
REGDLOS, Or Regulc. When anY Aleral OE
Mineral is separared in a Crucible, by Purification,
From ils more grols and terrene Parrs, the tiner and
metalline Parrs will sink eo the Borrom oF the Cru-
cible. And chis che ChrmiAs call  ex OI Reguli,
che Royal Or Noble Part OF rhe NIXI.
REGDLOS os antimony, is thus made. NIX
Eogether 16 Ounces OF AntimonY, 12 oF Crude
Tartar, and 6 oF Salt. Peter, all vell ponrdred;
ehien heat a larse Crucible red hOF, and FhrOW inEO
ic 2 Spoontul or che Mixture, presenely Corerine
ihe crucibie vich a FilC. rereac lis Suvontulbi
spoonsut