# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/806933011:0339 # Permalink to this reading: https://leibnizlegible.com/page/806933011:0339?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 806933011:0339 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=806933011&page=339 # Source image: https://digitale-sammlungen.gwlb.de/content/806933011/jpgs/default/00000339.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 104 lines, status machine # Lines: 104 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. ment oE A, Or ot the scclatole A B, Wil bc OF A3, WDC S A A = a BC-I ABC -I - AB And in che likce manner il n reprelent che Index o any POver OF A, che W A, W V EA AB and E, be all equal: and chonche n a A = a B - A b, and FhC MOMIENE OF A B i WhereLMew, Thac O) IBe Ooctrine ot nitely smell TnCTCMEHES OF L elle mes ins su Assctens ot TucH Nemion, Calls Very Properis bY chis Name OF FLuXI. ons: FOr, as Indeterminate ana raMaBIC CMaTCI ties, d2Z. ICI as II M CCMCLaCOSOL CMMIIIICdL e are ro understand rhe Arichmetick oE che Infi ReMMeHES OF In minate ex variable Ouantities, Or 25 Tome call chem rariable Ouancicies. These Infinicely Call Incre MENES OF Decrements, our Incomparable MIF. IaaC atet VHeL LISCICS, B) LDCat MOLIOM, alC CONFINU- ally Increasins or Diministins, he righer Denomi- nates, Flomine Ouantities: AS DCMB ACM aS are Pespecttalls augmenced or lessen d by the FluX OF MoOI a Linc, Sursace, _c. S0 he calls ehe Celerity Or Velociry oF the Augmentation or Dimi- HuIO OL These Llomins Ouantities, by che Name OE Flurions. And because aII Figures may DC COn- ceired ro be generared by Local Morion; 25 is nom rels commoniy supposed amons Geometers: Thelctere us much more Natural ro conceire che IntinirelY (mall TnCFeMenES Ox Decrements OF the variable and Flomine Ouantities, under the NTorion OF Fluxions, chian under thac OF Moments Or Inf- nicels mall Differences, 25 Leibnits, Niementiit and che Noble Author oF Analyse des Infiniment Petirs elule racher to takre them: Tho even chat ay also is not wichour irs se in many Cales. LHC LXCeIlenE MP. Nemton suppoles the absciss et a Curre, or ary orher Rowvins oe variable Ouantiry cobe unitormir auxmenced, and chere Core FOruS Fluxion he purs r, orVnier. And che other Rorvine Ouantiries he denores ulually by che Letters V, x, y, Z, and expresses cheir Fluxions by onts repearins che same Letrers W LOITIS OF Pricks over C FleadS; WHUS, 8, d, 3, Z: Nhich are the Fluxicts of the former Flovins Malsusties And chis Mocdu I5 much moro nacural and MCor Whecetore since multiplied by A = 1, et NlomenE Os muliplied by A, cogecher wict muliplied By a, will Be che Ploment oC1; char is, nochins. Furcher che Moment oE 7, Or A, id Aud generalliy since mulcipsied bY Au = che Momenc or an mulciplied bY A ropechet wich- mulciplied by n a A F E, will be no chins. And consequenelys ee Moment os.-, c A = willbe = A n 4 1, 8, E, D. C AS F. Y And cince A into A produces A che Momen OF A = into 2 A will be a (bY CasC 3.) andchere Sore che Momene os A will ve 2 A : or2 aA and generatty, il A ù be put equal 10 B, An Mall Beequal ro B; and consequenty ma Am equa con b BF, andm a A = F equalton bB = 2, 0 n:And cheretore aA is equaliob i c. Is egual to ihe Momentos A n. 8. F. D. Vi EADE N. vions leter. ter chan NiementiiiS, Ox the French one wich che Disserenctal a Mulciplicd inco rhe Flowins Ouanri Y, cocenore the Fluxion. And becaule these Fluxions themlelres are also Indeterminate, and Variable Ouantiries, and do concinually Increase or Decreale, Or grou srearer Ox lesser. Theretore he considers the Velociries ith which cher do s0 Increase or Diministr, 25 che Fluxions oF che Former Fluxions: And chose mas be called second Fluxions, and are noced wich Evo Points orexthem, thus; y, X, Z. And if vou 80 on arain, and consider che perpetual Augimenta- tion or Diminurion oE these, as their Fluxions al(0 vou mas make chird, Fourch, or fitth Fluxions, (9c. vohrea will be nored chus, y, x, Z; y, X Z: i Z: And P0 on ad Infinitum. FEthe FlOWinS Ouanrity be 2 Surd or a Fraction, hethus exprettes Eiey A B is che Nomene ot An malriplied by B cosether Wich the Moment oF B mulriplied into A thac is m a p = Z -) - n b B, = F. Arid chis Whether the Indices OF rhe PONerS BC IHECGeES OE Fractions, Afirmatire or Negatire. And che same Reason holds in the Products oc ans Numbers mulciplied by chemselres continually LHc a Bumels ot che Algorirtm or Arichme- ablors as you pleale, or ro ad hrixh Porvers as yoû cict ot Fluriono, contins in chele cro Thines. vill. 8. F. ons, accordins to our way ot Norarion, may be chusestablisted; as Lhare betore Meved in 2 800d meature ac che end ot my Agebra, Paβ. 115. ils Fluxion: Lex che Surd be V: a=b ies Fluxion is Fluxion oF the FractiOM 12y 1d 4:. Sec Dr. Wallis 5 Lat. Fdit. 128. 392. Wrhoretore rhe Momen DE ary perierated Ouan.