# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/806933011:0739
# Permalink to this reading: https://leibnizlegible.com/page/806933011:0739?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 806933011:0739
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=806933011&page=739
# Source image: https://digitale-sammlungen.gwlb.de/content/806933011/jpgs/default/00000739.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 111 lines, status machine
# Lines: 111 recognised, mean confidence 0.86
# 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.

en
Sexagenes, ther had a Fable FOr rt
Cuch torm a5 chis.
Seconds
iras
rehsmates
cebtillo
iIETHS
E
XCh.
The sum oF all wotichi Parriculars, are equiva
enero chis one General, the Exponent oF he PrO-
duet, (chacis, ot the last part chereot) is equal te
the Exponent ot bochche Factors pur rogether, ad
201 bγ TFII makes TII. 50I1; and 10 bY F21
malies 21 0Il, C90. 50 201 by 101 makes r1II.
4013
(90
My meanins is, Thac such Tables ther hact
(expressed in Numeral Figures) ot larex times, since
Chole Fisures vere in ule; buc belore, cher mul
And (0 onvard, 25 Far 25 60 by 60, makes
6000.
Wrhich Fables chey contracted into a square or
triangular Form, extendins trom 1 1060; OF like
nature wvich irhac we callrhe Pythazorical Table For
Mulciplicarion, excendins trom L1010.
Such a Sexagenarr Fable chere is (or Mould De
IF NOE COEN OUE) in BlundevilS Exerciles, wich
Delcription, and Directions For the ule oF ic; firt
published abour che Xear 1600, Or Cooner, (For il
is mentioned in the Pretace co his Theorics, pub.
listred in che Zear 1602, 25 havins been rhen re-
ceired ich go0d approbarion) and Re-princed a
seventh rime in che Year 1635. And che litre ir
other Writers oF Astronomical or Sexagesimal Fra
ctions.
And then cher had ortrer Pables or Rulesto de
cermine che Denomination of the Product; as chus,
Mulciplication oE
be expressed in cucti a War a5 ChIS, 21Z.
TI0 Hco III, makes VI
TII inEOIVII, makeS ZIF,I
IV into THVI, matces XIV
Thac is, 4 Sexagenes into 3 Scconds oF the Sexa-
Belins, mates 12 oF che tirst Sexagelms, because
XVV inco XWI, mates CL X; hat is, IEIV, XLV
(Which chey And For Expedirion, by consulrine
their Sexagelimal Table, a5 we do che Table ot
Mulciplication; where tndins Z VI in the cop, and
X in che side, thes hare, in che square ansiverins
coboch, II, XL.)
ZLV inEO LIVI, mates XL II, ZXXI11.
Concerning this Procels, br Sexagetimal Mulci-
plication, (9c. and ehe Demonstration oF ic, we
have a learned and accurare Treacile in the Grecke,
OF Barlaam a Monk, (Barloamus Monachus) under
the Tirle oF Locistica, (103 15 m1) ertiom Vossius (cap.
18. De Scientiis Mathematicis) placeth abour chie
Tear 1350 (buc mistakes oF ic for a Treatise OF AI
sebra): le is publisted by John Chambers, (then a
Fello oE Faton Collese) wich his Lacin Trancta:
tion, and Nores uxon ic, in che Vear 160O, en
couraged chereunco by Sir Fsenry Savile, Wvho chan-
ced ro lishr on a Crecke Manuseripe chereot abroad,
and did himsels, from chence, transcribe ir.
Bur ehis way of Mulciplicarion and Division in
Sexagenimals, Proves (o perplex and rroublelome,
(norwichstandirie such a Pable ac hand) chat since
che Indian Fisures came in ule, Whereby ve may
wich more convenience manage greac Numbers) il
is thoughe less trouble, (When chere is occation
ro Mulciply or Diride) eo reduce all co the lorvest
Denomination; and chen, havins pertormed chac
NVork, (OF Mustiplication or Dirision, Or bOcH) 10
reduce ir back apain co che sereral Denomina-
FIONS.
AS For Instance; Supposine ihe Lunar, Monch ot
Conjunction, (trom New-Moon 10 NeW- MOOM)
accordins ro the Moons midale Morior, t0 bC
29D. T2 FI. 44 3 10I, Proxim; arid L voula
compure, hou much che Moon mores trom ihe
Sun in 6D. 5FI. 14 161 3511. Pkeno ell Fhat
chere bemany Actronomical Tables compured 10
expedire such Operarions; (Which here L do nor
medale wich) buc wichour such Preparators Ta-
bles, my or must stand chus:
3
30 b7
matie
50 by Go2 L mates f13 20E
etc.
etc.
Primes
Seconds
Fourrhs
Primes
Seconds
Primes into L Thirds
Fourchs
Primes
Seconds
QThirds
Fourrtis
econd
Thirds
makess Fourch
FiEcho
130.
Sd7CUI
Integers into L Thiras