# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/806933011:0740 # Permalink to this reading: https://leibnizlegible.com/page/806933011:0740?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 806933011:0740 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=806933011&page=740 # Source image: https://digitale-sammlungen.gwlb.de/content/806933011/jpgs/default/00000740.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 132 lines, status machine # Lines: 132 recognised, mean confidence 0.88 # 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. Tables oF Mulriplication, che Worte vould be sc perplex, chac l Will nor here rebeat ir; and there. Fore it is thonghe berter ro recuce the sirst and chire Numbers r0 che louest Deriominacion, chac 1s Chese 2o chird Scruples. Equals he Radius) into 60Dcer. and consequencty che whole Circumterence into 360 and cact OF chese Deorces into Minures, Scconds, (9c. by Chords or Subcenses (in such Parts. Minutes, ane Seconds) ansiverins che sereral Arches a Clrcie Instead of wrtrich, thie Arabs Or Saracens hare s troducC (do MHOLC LXPecTeHE) EHeM LaMC ot Sines (Or hate Corus Ot ne double Arch) expressed in like marinee by sexaselimal PartS. WMCM thes did iN LILCaLION OL Pcolemy, than chac cher vere necesiated (o to do, haring che use oF Numeral Figures as Wre hare, Wrhich Prolem and ocher ot che Ancienes had nor Buc Arzachel cherein ditters chus tar trom Pto lemy. That he divides his Diameter into 360 PaVTS votrich Prolemy dirides buc into +20, and hachchere Sixch PatE Ot the Circumterence, Wotiole Ctiore conrinual Sexagenarr Virision And consonant hereuneo, de makes his Tableot Fore lels necd of Subdirisions 141 3 31 F0111 (hac i5, FY 48F. gire 360 Degrees, (chac 15. 10D, 6 Sexagenes oF Dcorees) chen6D. 14 10 35111 (Thac 26115.35 1111) will sire, hou much 1 Nou, il L vere 10 Won a by elie Sexacesim 1 11 1 12 44 3 10 X 60 42480 A25241 311 10111 60 2551440 255144311 7011 60 133036580 153086590111 And chen che Tr orke will sand chus, TFF83080590 LHtaS SIre 360 DCDtees 5 Then 32235395 Thirds, sive hou mans De. erees Where Mulciplrins ihe third Number by che second, and dividing by the ArH, I MaIl hare che Number of Degrees Souche in Incesers, With che common Fraction annexed; Wwhich beine reduces e0 Sexaselimals, Will sive che ansiver in Deorees, Minures, Scconds, (5c. Or I mistr hare reduced che 360 Dcorees into Thirds also, (Wrhich must hare Been done, it ro these Degrees chere had been an- nexed hrst, second, and chird Minures) and then the Ansiver had been in third Minures; and chese eo be reducedro Deorees, Minuces, (90. Which Operation, tho it be rroublesom enoust is ver more expedire, than by che Sexagesimal Mulciplication and Dirision, since che cime chai ve hrare learned, (by help oc che Numerical Fi Sures) tomanase great Numbers, wrhichin Piolemys time ivere nor in ule and in like mannee, wohatever ocher come 10 be 10 Mulciplicd. Accordins co ehis Sexagesimal Method, Prolems dirides chekadius or Semidiameter oF a Cirele into 60 Parrs, (and consequenly, che Whole Diamerer into +20) and cach of chose Parrs into 60 Minures, and each of thole into 60 Scconds, and (0 Formard, 25 Far 2s occation reguires. And accordingly, the L Lea s MC AMCteheS aid hus reduce cheir ordinary Fractions allro one kind ot Denomi. nation, ras, to aroid the rrouble wrhich voute arile trom chedisserent Denominarion ot Fractions wrhich (wten cher had noc che helpschac non ve have) vould be very srear; and cheretore chose re admie oF Approximations, mans rimes, instead ot ACCUTaLC LGatCICS. AIet Wrhy cher chole che Number 60, rartier than any orher Number, Was, because il cher hac made ute of 12, Or such ocher smallVumber, the vould be puc uxon a necessier of the more Subdi visions, and a Number much GreateF Than cIS thes could noc ell manase; (there beins, ever in this, rrouble, enonsh) And ot Numbers abou this bisnels, this was choushue most conveniene, as being most capable ot exact Dirisions, Wwithour be ing put ro rhe necessier of Approximations or Sub. dirisions; admittins, for Divilors, the six tiest Num berS, 1, 2, 3, 4, 5, 6, (which sione lels ctian il can d0) and as mans more antiverins re ce s 2, 25, 20, 30, 60, (chat is, Tvelve in 2II) rHere being no Number lelsthan ic, admirrins ot IOMMa- ny DirisOrS; nOr Can anY, Greater than it, admiE ot more, WvtCh IS nOL ac seaLE EVICC aS GreAE. trhich cannoc be laid again ot ani grearer Number. rill ve come 10 360. And chis is thar erhich is made the Number oF Degrees in che Whole Cir- cle. And ehis Dirision oF Integers into Sexagelms (Minures, Seconds, Thiras, (OC.) especially in che Parrs ot Arches, Anples, Time, and Morion; the rabs have recained, in imitation of the Greeks (Ox Ferprians) and ve trom chem, even ro chis Dar. Walliss AlSebra, Chap. VII. SEZAHOLE, in Geomerer, is a Figure consst- ins oF siX AngleS. SEX TANS, is the SiIxCh PaTE OF any chins, ThuS: There is an Astronomical Instrument called a Sex- eant, asbeing che sth parr ot a Circle. Thishart 2 graduared Limib, and is uled litre a Oua- deane. SFZTILE, the Position or Aspect oF the Pla- nets, When ac 60 Degrees distant, or ac the distance ot cvo sions trom one anocher; and is mariced CHUS, StLLLCMLLLS, advat d MMP, ale Thole oblone Tron Rings, and Bigger at one end chan at ehe orter. Wwith wrhich che Porrs are But Fast, by chrustinq the Nooden Bar of rhe Porr Throushthem. There are al(o a TOrE oF Strackles ro lite che FTarcheS UP Wwich, oF che Former Figure, bur Cmaller; ther are Arch antverins 10 such a Choid; schac is, che Fattened ac the Corners ot che Llacches. BFLAL LCE 100 44 3II 101I11 149 14 16315 8954 1611 351 33725611 35113 322353