# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/806933011:0554 # Permalink to this reading: https://leibnizlegible.com/page/806933011:0554?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 806933011:0554 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=806933011&page=554 # Source image: https://digitale-sammlungen.gwlb.de/content/806933011/jpgs/default/00000554.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 112 lines, status machine # Lines: 112 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. produced by an Aullere omtY, or an Rullere ACid. ed end Ot Ihe TTCAFE. tilaco. ine ak te NIOLTTPLE Super particular Proportion, is Wten ene PTumber or Ouantier conrains ono ther more than once, and such an Aliquot ParE more; oF which, see more under Proportion. MOLTIPTE Super partient Proportion 1c irtien one Number Or Ouanties contains ano cher divers rimes, and some Pans chereot be- Tides. NDETIPLTCATION, is, in General, ehe cakins or repeatins ot ove lumber or Ouancity a5 ofren as there are supposed Vnires in the ocher. The Number multiplied i5 called the Mulripli cand; the Number multiplyins, the Multipli- cator; and char wrhich is found or produced, 15 called the Product. Multiplication is cnly a Compendious Addition, efectino at once that in the ordinary way ol Addition vould require mans Opcrations: FOr the Mulciplicand is onty added to it selF, Or re- Peated, 25 ost asthe Vnites oE che Multiplicator do exprels. Thus il 6 vere to be mulciplied bY 4, che Product 15 24, wrhich is che Sum arisins trom the Addition oF 6 Fourtimes to ir selF. In al Multiplication, 25 + is co che Mulripli- cator, (0 is the Multiplicend er he Product. Whence ris plain, chac in mulciplication OF In terers, che Product must be grearer chan cirher ot the Factors, (For (0 che Multiplicator and Mulciplicand arc called, because between them ther make up the Product) because cirher Pactor is greater chan Znicy. Buc in multiplication ot Fractions, the Produet must be lels in Value rhan cither ot che Factors, because they are boch lels chan 2nity. Thus 24, che Product oF 6, mul- ciplied by 4, is greater chan cithet 6 OF 4; BUE che Produet oE mulciplied by 5, is dess in Value chan cicher = OF 5. NDL TIPLICATION in alsebra or Species. The General Rule is, Fo conjoin che Ouan- tiries proposed by the Sign (X;) Which Sien. Wrhien che Ouanciries to be mulriplied are ex Pressd by buc onc or ro Letrers, is ulually omitted, and che Ouancities urirten dovn lite Lerters in a Nord. Thus a e mulciplied b7 b d. may be vorirten a e X b d, Or, 25 is motc alual a e b d And il che Siens- L or = prehxed betore che Ouancicies re be mulciplied are like; the Pre- duet 15-; it untike, che Product is N. B. In Algebraic Mulciplicacion, eis mest commodious 1o besin tomultiply at the L est Fland, because e mrite that Way. ved, hac Spiric oF Vieriol mix d Wich a DCco. ction ot alls, will produce a Cum. Aster chis, he sires an ACcOunE O LAPeri MenES made WIEH esC MUCHaSC, IC MOICOt Which come rothis, Thac all sclas do consulate ic, 25 alI Austetes and Austere Acids; but wict this Dirserence, Thac the Ccagulum or Curd made by Acids ontr, ls cenderer chan chac wrhich i MVCKO Cordis, Or Apex, is Ler pOin NIDCROTATED, is irhaterer ends OP ter minates in a LBine, likre rhat OF 2 Svord, _. NDERONATOM OS. SecenGom NVFFLE, in Chymistey, is ehe COVer OF; Test Or Coppel, Wrhich is puc orer ic in the Fire. AVLLLI. The Tem in HPeraldes FOF. Scar ot Five Poincs, ot ehis Figure; and is ulu ally the Ditference et Dictin the Third Brocher, Ot Lsbule. here: Thô ris octen also boin as Cdac. Arinour, Ruby on a Chies Pearl, Tve Mullets Diamond; beins ch Cont oF the Famous L ord Ve rulam, Aes Sit Francis BaCOH Lhe Herales PaY, che Mulle reprelents a Falling- star ; Farely Born OE Six Points MVETA, DE Mulcura Fpiscopi, Wdd d LL Sires ro rhe KinS, That IHC BMHOP Mighc hav Porver eo makre his Last Will aet Leltamen denr bens dirided by the CMMeguCHC I MHO- By LetTerS, WHCIHeF sIRC Or unsite, acC 1O bC cause, bemo divided by a, the Cmoriene lsG musciplied into one anocher, and hare no DTum- ihe Consequene 4 beins mulciplied b7 3, maties Levcers in a Wore, and is done: he Ancecedent 12; Woheretore 3 is submulcipte 1n artibubar and co hare rhe Probate et Olter ehS, and ctic Srantins Administrations. MVL. TANCOLAR eisa HC cat a many Sides and Angles. For irs Superficial Contene, lec Area. NOT TILATERAL, in Ceometer, are chole Fisures chac hare more than Four Sides. ADLTTNTOMTAL ROOT. See Polynomial. NDLTIPLE Proporrion, is when the Antece rient is more than Onier: And the ReaION OF Ratio, to makce ic equal W ne LCc. TnuS +2 is mulciple in Proporrion r0 4, bc- RDLP WVhen Ero or more single Ouamicies, exprest the Name is, Becaule che Consequent must be mulciplicet by ehie Ihaex, O LX POICHC O THC ertich is isle Denominator oE ihe Rario: And bers pretix d; join che Ouancities togecher, like