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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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The Lenoths OE Pendulums (wvhich are alv 27S
accounted from the Cenere of Oscillation, rorhe
Centre ofthe BaII Or B0b) are ro cachother in a
Duplicate Proporrion r0 the Times in which
cheir Vibrations are respectirelr pertormed; Or
are as the Squares ot cheir Vibrarions performed
in one and the Pame time. WVherctore the Pimes
must be in Subduplicate Proportion i0 the
L. engtHS.
Nr. Nemcon demonstrates, Cor. 2. Prop. 54
Princip. Thar il che Force ot the Movement ot
2 Clock required ro keep a pendulum in Morion
couid be so componnded ivith rhe gravicarins
FOrcC OF the Pendulum, chat che whole FOrCC OF
Pendeney donnvards, Mall be as the Line
extrich arises by diriding rtie Rectangle inder
the Semi-arke of the Vibration and cheRadius, is
ro chie sine of thac Semi-ark, then aII chc Oscil.
lacions Mall Aill be made in rhe lame space 0.
Fime.
mate any assigned Number os vidiaions 
Minute.
TEF tHC NNIMIDEE OI VOracTOnS OC 50, C
Tenech o a Scrine conned trom che Point of
Suspension, 20 che Centre ot Oscillation, ot
oE che Buller or Round Ball ac chie end oE ic, 1d
required.
Since the Leneths of Pendules are to cacti o-
ther as the Squares oE their Vibrations. And chat
a Pendule Vibratins Seconds (or 60 rimes iu 2
Minute) is by Experience found 10 be oE ch
lensch oF 39 Inches and, 3 oF an Tuch.
There ule Sit Jonas Moor S Compucation.
Say, a5 the Square OF 30, (vtich 15 250)
cothe Square ot 60 (wtick 15 3600):: S0 is
39, 2 : o the Lengchof the Pendulum required
aotict ill be tound 10 be 56, 4 Viches. dec Me
Nortio
OF the PTumiber oF Vibrations astignd, and che
Ouocient will sire ihe Lenorh of a Pendulum.
chac Mall. Vibrace just s0 mans rimes in a Mi-
HuTC.
in a sitinure.
Checctore la7. Asche Lengcheeren Luppole 36, 4
co The Lensch OF hC SCalCaTA LCHCMILIT LWIII
ins Secotus, dz. 39, 2. 50 is the Square ot the
Vibrations of che Scandard Pendulum, ro che
Nork.
chere yon curided by che oquare ot che Vibrae
ons 10 find chie Lenorti.
PR O BL F M S.
I. Tofind the Lensth os a Pendulum mhich sta
eROBLEM
TBC Length of a String and Dlummet beins Lnomn
(reckned as before from the Point ) Suspenston
tothe Centre of the Weisht 3) T0 find the. Num-
ber of Vibrations such a Pendulum shalt matae
This is the Reverse of the Formex Problem:
Squares of he Vibiations us.  he
A556, 4 : 39,2 : : 3600 : 2500, d5 WHBC
Found by orkins che Golden Rule as betore
AIt eC Square RoOE oF 2500, Will bc 50, e
umber ot Viotalions Toughe
Buc For ule (hesC aS IM CHC LOMIHEK FTOVICIM)
rou need onls diride 1411200 by che Lenoch,
and ic sires the Sguase Ot MIIC VIOLaLOUIS, a
Bur For ready Practise; since in chese Ouesti-
And chelo rvo Problems may Bc of excellene
ule, both to Regulace the Motion oF a Clock Or
WVarch. and exactr ro meature Time without
cicher; wrhich may graritie and aNist che Curi
ous in obserrins Fclipses, especially chole oF the
ons the Produet of che mean Terms rill alivays
Satellites OE Fupiter, and in che. Pransis oE he
bc 1411200 (chat is che Product of che Square
OF 60 Mulriplied bY 39, 2.) 1. c. 3600 = 39, 2.
Moon under che sx d Scars, and her Occulcari-
ons ofchem: Whose Durarion may be chus ea-
sily measured, irhour Clock, Wacch, Or any
such vas ot distinguittins Time.
AS For Instance, Suppole rou vere on a Tour-
ner or Voyase, or lome place where rou cannor
hare che conreniener of a 800d Clock or Wacch.
C9c. and vet rou vould willinels obserre che
Duration oF an Ecliple; wrhich by vour Tables
rou kno will happen such a Niehe, and near
such a cime OF II.
Flaneins ux 2 Sirine ane Wciehe on 2 Fine.
Pin, and lecins ir sivins just ac che Fncrance oF
the Straco on the MoonSOrb; let 2 C OrrE-
spondent or Serrant caretulls couneche Vibrari-
ons, and martins chem donn with a Pencil, or
lome such war; (morins he Pendulum dexte-
rousY also chac maz chac ris goins, when ris al
mostac rest, by a genele pustr of his Fland, and
by chac means kcepins ic in constane Morion;)
che Number oF the Vibrations will be known
durins che whole Eclipse; which nore donn on
a piece of Paper, and Meaturine exactiy che
Lensch oE jour Scrins in Inches, and Decimat
Pars ot an Inch: Divide (By chis Problem)
TAIF
00 by rhe Lenoch ot rou Lhautum, anc
the Ouoriene will aftord vou a Number, Wose
Square Roor is che Number oF Vibrations, e
Pendulum rou emplor d made, in, one utule
Vouncedons divide chac Humber byche Sguace) Diride cherelore uneumber et al ihe ion
46 2500 10 3600.. 1039, 2 l0
39, 2
7200
32400
0800
25100) +4F+2 100 (56, 4
2.