GUNTER’S LINE, 
point between the two radiufes, where the firft ends and ae 
fecond begins, is alfo marked with number 1 ; and the e 
of the fecond radius, which terminates the line at the Sah 
hand end, is marked with the number 10, againft which are 
inferibed the letters num. Each of thefe equal Lc geaps or 
fined lengths ‘with the eer alike marked i 
of thefe nine unequal {paces are fubdivided, nen 
n each of thefe into two or more part 
38 as thofe {paces can conve: ntti contain. If the left. 
1 ftands for the n 
39% 4% 503 
If the. left-hand 
or 100, and the 10 at 
cf veral {paces and fub- 
e eftimated as eet 
dled 10, the middle 1 ftan 
the right-hand ftands for 1000; a 
divifions in the firft interval are akc 
were cn pe the fecond radius, <a the right-hand end 
ftood for 100; but now, in the fecond interval, ae firft fub- 
divifions in a: fpaces ftand for ae ffer divi- 
fions Hee ftand for fuch part 100, a ate are parts 
3; thus, where only 2 “6 the laft “fabdivifi ons can 
te ticdaced; each ftands = $03 where 4 can be con- 
tained, each flands for 23 € put in, each ftands for 
20; and where 10 are Gottaboed, each ftands for 103 again, 
the firft 1 be called 100, the fecond. + ftands for 1000, and 
he ten at the end ftands for 10000, &c. if the firft 1 ftands 
OF a'gy the fecond 1 ftands for 1, and the ro at the end 
t radius ftand for the units between 1 and 10; the 
ft. fubdivifions ftand for eer -parts of unity, and the fe- 
cond fubdivifions ftand for arts of tenths, according to 
Boe woe of thefe fecond fabsliviftons, &c. fo that what- 
are put upon any divifion or fubdivifion in the 
ety aoe. the value of the correfponding divifion in the 
firft radius will be only a tenth-part, and vice ver/d + thus, 
if the divifion ee 5 in the fecond radius ftands for 
§00, or 50, or +5:, ss so _ = in eet firft 
radius will ftand for "500, oe 50, 
ion of Gunter’ F higielrinn é a is “of saan, sats 
peace . 
ad 1, (or rather 1 to), and the third 10, (or rather 
100). From the or Seale take the diftances expreffed by 
Po he firft fi the logarithms o numbers 2, 
59 a i 8, 9 ae, ——s rod indices, viz. 
4 ae viz. ees I oa a 10, aid 
: bes Bs gris, 61°72 Sy 95 
§ 
© and 20, 20nd 40; 30 and 40, 4oand 50, 
: d 70, 70 and 80, 8 
alf 
{cale, in each of the 
he marks 1 and 2, 2 and 3, 3 
id 6, ‘Gind 7; 7 and 8, 8and 9, g and 10, 
> reckoning each diftance from the beginning 
ances 
its ie ite primary interval. The laft sae a of the 
fecond primary interval are to be divided i to others, a¢ 
many as the fcale will admit of, by laying Od the loga- 
rithms A eon intermediate divifions. 
5 i f the divition of this line may be deter- 
mined by taking with a pair of compafles the dittance be- 
tween the divifions marked with the numbers 1 and 2, rae 
will reach from 2 to 4, from 4 to 8, from 8 to 16, 
and from 1} to 3, from 3 to 6, from 6 to 12, &e. i 
alfo from 13 to 24, frown 2; to , from 
fame diftance applied to any otieof the divifi 
and 2, will reach from thence to divifions found always by 
doubling the laft number. he fame wor done 
without compafles, by moving the flider till the left-hand 1 
on the line of numbers ftands againft the divifion ok 
: i 
any number counted on the fixed line of numbers, then wi 
the divilions 2, 4, 8, 16, 32, &c. on the flider ftand againtt 
the re{pective divifions on the fixed line, which will reprefent 
twice 4 times, 8 times, 16 times, &c. the divifion againtt 
which the 1 on the flider was fet. Thefe ea, = the 
fixed line which cortefpond to the divifions 2, 4, 8, &e. 
on the flider will be cut by the edge of the brats: sii by 
moving it along to the divifions on the flider. 
To fad ‘divifion or point in the es of numbers anfwering 
to any given n the num 654: feek im the 
fecond radius between the figures 6 Sat 7 for the fifth of the 
firft fubdivifions ; between this fifth and fixth are 4 fecond 
pep idee each 0 which anfwers to 24 units; then will 
the ap: of 
bs cecnagie 
: in the fecond radius between 1 
2, feek the fixth of the larger fubdivifions, and the poi 
will fall between this fixth and the feventh of the fubsdivitions, 
and the true point will be on the eighth of the fmaller ones, 
which will reprefent the number 168; the like divifion in 
the firft radius reprefents 168, but 6. this ftood for 168, 
then like divifion in the iocone radius ftands for 1680. 
econd would anfwer to 6540. 
oe 
redth, or one-thoufandth part of an inch; 
fo that for other eo ad as quarters, half quarters, &c/ 
you mutt either eflimate them as near as you can iis: 
or elfe reduce them into iechnales 
a, of Gunter’s . Line. 1. Two numbers being iwfes 
ional ta them; and tthe : 
pion to a fourth a fifth, Fe. su Bxtend the c es 0 
the line from one nu ep to ne 3 then if. Ps extent at 
applied upwards and 8, as you would either in- 
ereafe or diminifh the num! shies from 
r of the numbers, 
pe: moveable point will fall on the third proportionable 
umber required. Again, the fame extent, applied the fame 
= ree ages will give a fourth; and from the fourth 
FE andes let the two numbers 2 an and 4 be propofed 
watches to them ; extend ae 
eas 
which done, and the fame exten plied upwar 
from 4, the move . will fall on ess the third pro- 
jonal requi and frem to 16, the 
ae i 3 and from 36 to 32, the fifth, &c. 
, if you would » as from 4 to 2, the 
Semie wal falon I; ‘and from Ait oF 3 
But 
conte 
of from .5 to .25, &c. 
