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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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Righe again, and it makes 4456320, ortich i
ihie Number nearty correspondins W Lo
rithm 6. 648976.
Addition, Substraction. Mulriplicatior
and Division in LoBacichins.
3. In che Addicion oF cvo or more Locarichms
rosechier, obserre rhete Rules.
1. H all che tndices be Incexers, acdl chem 25
is usual in common Arithmerick.
be Carried in Mind are asfirmatire, and are rO
er Fractional Inde
Obserre whether che Dirisor will eventy di
2. Ff the Indices be some Inregers, and some vide che Index, rhen there is no Difficuler; bur
che Indices oF Parrs, Or Fractions, pher ill be il ic do noc erenty diride che Index, add 1o che
untite; and cheretore it wrhen added cheir Sum Index Co mani Onites, eill it may be erenty di
bero, or abore, cast aar 10, the Remainder vided, Setrins che Ouorient donn for a neu In.
is che Index oE Inregers; il under 10, Decimat
PattS. TmuS,
2. 237242
9. 875062
8. 698972
0. 811275
dex, augmentins the next Figure by (o many
2. 440470
the Sum; it just r0, then add Unitr; it abore
10, Cast 10 avay, and the Index chus gorten is
9. 875062
9. 87506F
8. 574033
4. Substraction oF Losarictms.
1. H rhe Indices be Integers, then proceed a
utuallr.
2. It che Indices De cirher ot them, or boch
3. 80614
8. Muliplication os Numbers by Ehe Locarictms.
Add the Locarithms oF the Numbers tOsC.
cher, and che dum is the Losarithm oF the PrO.
3. IE che Indices be all Decimals, and when duct required.
added make a Sum under ro, then add 20rO
alvars Decimat Parts. Thus,
3. 39794I
3. 273003
8. 698972
Mutriplicand 32 1. 505150 5, 12 0.709265
Mulciplier 52 1. 316003 1. 55 0.899497
1664 3. 221253 7.936 0,899497
9. Division of Numbers by Logarichms.
This is done onty by substractins che LoGA
rithm oE che Dirilor Erom the Locarithm ot che
Dividend; and che Remainder vill be che Lo-
sarithm oE che uorient.
Dividend 7286 3. 862489.5512 9. 654369
Dirisor 32 1.505250 0315 8. 4983IF
Decimal Parrs, obserre Whether che Indez oF Ouorient 227. 8 2.357359 14. 32 T. 156058
the upper Ouantiey be a Tinaller Numbex chan
that oF the Suberatend or the lorver; it ic be-
add 10r0 ir; and is che upper bc oF a greater
Valve than the lorver, (thar is, 2 bisger Index
by Place) chen che Remainder will be Incegers:
it nOE Decimal ParES.
Examples.
10. Extraction of Square, Cube, eC. R0ot5
by Logarichms.
To extract che Square ROOFOF any Number,
is t0 divide the Locarithm oF char Number bY 2
For the Cube Roorby 3, (90. That is, in general,
divide che Losarithm oE che Number by che In-
2. 03342F 9, 875062 9, 875062 2. 235781 dex ot che Pover.
9. 875062 2.033421 8. 574031 3,572141
Number 75832 L05. 4. 879852
Tor the
2. 158359 7. 84164F 1. 302031 7. 66364059. ROOF 275.37 2) 2. 439926Z59. ROOI.
5. The Logarictm os a Fraction is thus found.
Cube ROOT 42. 327 3) 1. 626624 
Subslract ihe Locarictm oP che Denominaror 2I. F0 find a mean Proporrional vetmixt emo siven
Trom the Locarithm OF the PHUMeTATOF; che Re
mainder sires the Locarithm of the Fraction,
25 0F3; The Locarithm OF 4 15 0. 602060, OUF
OF C Losarithm OF 3, 0. 477121, che Ditlerence
9. 875061 i5 che Losarithm OF Z Ox 75.
6. To Mulciptus a Loxarictm.
IF the Index behegarire, obserre tharin mul-
Numbers, by Logarictms.
FTalF the Sum oE cheir Locarichms gires the
Losarithm oF che mean Proportional betwixe
chem.
0. 954242
TheNumbers ae Z , 6 1. 204120
Sum 2. 158362
iplsies che Fioure neac che tndea, ihe Leno 10) Mean Pcoronional 12. i L = 1. 079181
de decueted out  che liouner F elle hegatire
Indicco. L
2. 5452TF
5. 62963
7. 563210
2. 057827
9. 641031
1. 902T4
1. 936070
7. Fo Divide a Logaricum, havine a Nesative
times 10 as rou added t0 thc first.
3) 5. 321412 2) 5, 62228