# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/806933011:0911
# Permalink to this reading: https://leibnizlegible.com/page/806933011:0911?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 806933011:0911
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=806933011&page=911
# Source image: https://digitale-sammlungen.gwlb.de/content/806933011/jpgs/default/00000911.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 151 lines, status machine
# Lines: 151 recognised, mean confidence 0.85
# 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.

13.
JVOtS.
3IS
Pinion talt but With Cto (NILIBOIS, 100 b18 10 b0
cuc in Wrteels. and vec nor to be alrered by chc
Former Rules; Ehen in seetins for vour Pinion ol
Reporr, rou may sind out emo Numbers ol rhe
lame, or a near Provortion, by chis Rule, viz. AS
cicher of che uro siren Wumbers is ro cheocher:
(015360 t0a Fourth. Diride char Fourch Number.
25 a((0 360 bY 13 5, 6, 8, 9, 10, 72, 75; (eacho
Wrhich Numbers dorh exactis mealure 360). Orb
any one ot those Numbers thac bringech a Guorien
nearest to an Inceger.
A5 suppose sou lad these ruo Numbers, 14
ihe Wrheel, and 170 che Pinion, Which are t0O
grear ro be curinco (mall WWheclS, and Vet CannOE
be reduced into less, because cher have no ortier
common measure, but Vniey; Say ThereFOLC, AS
170 : 147: : 300 : 311. OF do 147 : τ70 :3
360 : 416, Diride the ath Number, and 360b7
i3i
168
52
60
39
one oF the foregoins Numbets
25 315 and 360b76, Il srs 32
and 60; Diride Me bY 8, 70
Wilt hare 39 and 45. HIIID, if yor
360 l45 Divide 360 and 4161bY 8, voul
have 45 and 52 CxaCEIY. WIIeIC.
Eore instead oE ihe rvo Numbers 117 and 17C
rou may cake 52 and 60, Or 39 aud 45, Or 43
and 52; 96.
J. Wrhen son come to Practice in Calculatine
Picce ot Nalhnore. he first chins foll ale lo do
is, to picch upon vour Prain, or Bears oF the Bal-
lance in an LPOuE; as, Whether a WWIH Frain; OF
abour 20000 Deacs, Cihich is The ulual LTaIOI a
common 30 Flou Pocker- WV atcH) O a NOrVer
Train oF about 16000, (the Train oF che ner l’en
dulum Pocket- W alches) or any ocher Prain.
Flarins chosen vour Train, chen relolre upor
the number O LuIIS you incend pOuF Fuls IIIal
hare, and uxon che number ot FTours non vould
have pour Piece 10 50: A5 Suppose r2 Turns, ane
1050 30 Hours, or 192 Hours (1.c. eishe Day5
is to bc done chus.
Lice, (by chc aucccton siven ancer lie Wocd
Beats) MulcipIY 792, (che Produet oF all che duo
tienes pirched upon) by 17, the Norches OF the
Crownwticel, the Product is 13464, Wrhich is ha1f
the nuniber oF Beats in one Turn OF the Fus
then (by a Rule giren under the WV ord Beat) find
the erue Number oF Bears in an LTOur.
Thus, 16 : 12 : : 13464: 10098, ertrich is
halE rhe Beats in an FTOur
Thenfind irhac Ousriene is eo be laid uxon rhe
Pinion of Report (by che Rule siren under thac
Word.
ThuS, 16: : 12 :: 12 : 9, che OuorienE OEchC
Pinion os Report
Nou havins Found vout Onorients, ris eatieto
determine Wvhac Numbers vour Piniens Mallhare;
For chuse wrhac Numbers jour Wheels Mall have
and Mulcipli che Pinion by cheir Cuoriens, and
chac producerh che NVUIBCE FOF VOUE
WheclS, 25 vou sec in che BLarGIn. 4) 3C C 9
Thus che Number OE pout Pinion of
Report i5 4, and irs Ouorient 9, there-
Fore the Number For the Dyal. Wwteet
must 4 X 9 Or 36; TOthenext Pinion
Being 5; IES Ouoriene IF, Theretore
che xreac Wteet mustDCS X L1 = 55.
and s0 oF inc rest.
5) 55 (FF
5) 40 C
Thus ron hare che common and practical Me-
thod oF Calcularins the Numbers oF 2 16 FTOUF
WVarCM
And ehis Wacchi may be inade 10 50 a longer
Time, by lessenins che Lrain, and altering the Pi
HIOn OF RCPOT
As suppose ron contd conrenienely Packen che
Frain to 16000, etien by che Rule given under che
NVord Beat, CaY, A5 = 16000, Or 8000: 13464::
12 : 20. Sochac, ehis WVarch vill 3020 FTOUTS
Then Fox the Pinion OF RePOTE, Cay, (BY ch
Rule siren under ThaE W Ord) A5 20: 12 : : 12: 7
SoThaT, 7 is che QuorienE OF the PiniOn OFRePORE.
And as Eorhe NumBerS, the OpC.
rarion is the same as betore, only che
Oyal- Whcet IS BNE 28, FOTIES OuO
cient is altered 107
Bur it rou vould gire Numbet
to a Wacch ol abour 10000 Bears in
an Hour, to hare r2 Turns oF the
Fuly, 1050 170TTours, and 17 NTOr.
ches in the Crown Whecl.
4) 26
The Worke is che lame in a manner, 25 in che
last Fxample, and consequeneiy rhus
1d 12 : +10.. 10000. 141300. WHich TOUTEI
Number are che Beats in one Tuen oF che Fuly
ES HalF70833 beins dirided by 17, sires 146
For che Ouorients. And because this Number ic
100 bis For chree Cuorienes, theretore chuse tour
25, +0, 8, 8, 63, Wrhose Product into 17 makert
1808 neariy equal ro hale cherrue Bears in one
apfIC10; 9 and 9; Mulciplied continuallr, sives
8F0, wrhich is somewhat roo much; cheretore cry
25ain ocher Numbers, TI, 9 and 8; these drawr
one ineo ahorhet conually produces 792, wwtict
15 25 HCar 25 can bc, aitt centrenient Guorients.
Elaving thus cMrired jour Piece Fromthegrea
Wheel corhe Ballance, Ouc the Numbers nOr FaL
sed, vou mult correct OuL NOTKMIS
lins out Cxactir, accorum ad jou at tirst propo
And is von Divide 36 bY 8, and. 3. b7 2, illen
Mulripir, 25 betore is Paid, You II have 24 X 13
36 X B = 288.
12. M 13BBE OrS et ATC 1
A 3yE IV 20 SEGCI
3. 3it10 VAE 1OC
A. li ir happens char vou hare a Wilcet ade
Then proceed ro Aind oux the Bears oF chie Bal
lance or Penducunt in one turn of theFusy, bs lhc
Direction siten ander the Word Beat, THuS III
NTumbetos 12 : 16 : : 20000: 26666. Where-
FOres 26006 are the Bears in one Turn OF che
Fusz or gredl Wheel, and are equal ro che Guo-
rients oF all ehe Wheels unro the Ballance mulri-
plied rosether:. Bur non chis Number is eo be bro-
Ken into a conveniene Palces et Cuctes; WCh
Firte, halre jour number oF BeatS, viZ. 26666
and ron lthare 13333: Then piuch uxon the num
ber ot rous Crown-erticel, assuppole 17: Diride
13358 b5 27, and rou Il hare 781 For the Ouo-
rientS (OF FurnS) oF the rest of ihe WVhcels and
Dinions; Which beins c00 big For one ox rvo duo.
tients, may be best broken into chree; choose
cheretore chrec Numbers, Which when Mulriplied
allropertier conrinualy, ill comenla 1+. Ad
Turn OF the FuI
Shalt checrue Lrain oE rour Wacch
Then CaY, 25 170 : 12 :: 71808: 5069, which
ANd (23 ax at 170. 12 : : 12 : 223 (OF X70
44. whiet capsestes elle Pinion oF RepOTE, anid
Dlie Number ot che Dyal Wle.
F