# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/806933011:0502 # Permalink to this reading: https://leibnizlegible.com/page/806933011:0502?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 806933011:0502 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=806933011&page=502 # Source image: https://digitale-sammlungen.gwlb.de/content/806933011/jpgs/default/00000502.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 84 lines, status machine # Lines: 84 recognised, mean confidence 0.83 # 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. E s C b - ) =. 2. C b.) AFCLLMC Square ot caca will be bb-) - eb b. ] = e cbb, Caat 1 E -I - D F KE, (bY 47 a L. F. VCL.) ANC EC these Lqual Ouantiries adding he Squares ot L and F C, cach ot wtich is = cc: LHeir Sum, viz. D M D- I B D Z (1 c. L NI Z) vil bc bb -] - cbb - = = c cbb -) =cc, Wrtrich al(0 is equat Eo the Sum OF chele B L F -I - ( F C 1. c. F C, wrtich Wvas = tO AD = X L by the Construction) - B EK = a ecbb .. Cc- = ecc- ) = e0 cc; thac is equaltO I) ZH Wherctore since the Squares arc equal, thC Nom il tom chose equal Sums bb eb 1= = ccbb - 400, and = e cbb- =c0 cdc :c, rou cakre avas whac is comolo bb -) ebb = ecc - e ecc: Wrhich WIII DC tound ib be also, sinsly tatien, equal l Cach other: Decause he PaxE caken arvas b b, ill bC to the orher Pare taken aWvaY eCC:: ds the RC- boch must be a5 cheir WVholes vere, 1. c. equal: Whetcsere bB == ecc, and cbb = c ecc. Whicl lacter Pquation resolved into Proporrion. Mesolabium. als Wvill stand thus, 25 eb. ec : : ec. b; 6 25 A B. CK:: CK. M A. And il rou pche Lensch and Shornels ol Time, cither with relolre the formet Equarion, ic will D as That is CK. M A :: MA. BC. FHaE C HE and MI A arc Tvo Mean PFOPOT- tionals betrveen AB and BC. O. F. D. cermed the Measure-Note, Or Pime-Note. MEASORES. Ichoushr ic vould bea vers Acceptable Thins co che Reader, 10 sel s hc A cno LIC E0 cach other. BOck, 11Z. = ee ec. b. : b. c. rhichis thus: etangle, drains che Diagonal eo find the Poine X, aud producins B A and B C BOch Ways 10. Wards ML and IE; For chen sX a Rulex on the Centre L, and chere turn ic Forward and back ard, rill vou find by the Compases MI X and ZK are equal; and THen A M and C K are the Lines ToueHt. Another Mechod For Which, Kutocius alo men- tions, Which scems more Practical; which is. Fomiake a Semi-cirele on A C the Diagonal of cheRectanole, chenthe Morable Ruleris placed Forwards and backards rill L M (by the Com Passes) be foune equal 10 N R, and chac ilt sire che Poines M and IE, and consequenely che Lines A M and C R required. TTow tosnd Pwo Mean Proporrionals by help of the Cissoid oE Diocles, and by TWo Parabo- hb -] = cc, there ill remain la s, (wtich WaS Wenechmus his WaY) see Scur- mius Mathesis Enucleata, B0Ok2. PrOP. 2T. Con sect. C5 Scholium. Des Cartes doch the Tame Thins by help oF One Parabola ontr, sec nis Geometry P. 9r. and as manr as von pleale Dy var, vhich sec in p. 67, 68 oF his Oeometry. Much moie ot chis Hacure zoa have in sluscus ROOES Or Lines M X and XK must be equal mainder eb b. is ro the Remainder eecc; and hele of a Curre Line senerated atter a peculiar MEASCTRE, in Musick, is a Ouaneits OF respect to Nacural Sounds, pronounced by ele Voice; ot Arciticial, drann out ot Musical In- Wrhich is in plain NVords che Proposition, viz. struments: Which, Mcasure is adjusted in Va- rieer ot NTores, by a coristane Morion of che Lat et LOO, adun et up, successirely and On erhich Demonstrarion is Founded rhe Me-) equalles dirided; (0 that cveri Donn and Dp is chanical WVar OF Futocius, Lib. 2. De Sph. andi called a Time or Measure, Wherebr the Lergrh Cylind. For findins Zuo Mean Proporcortats, ot a Semi breve is mealured, which is cheretore Vieur an AccOunE OL TC AncienE and Pretet Measures oF several PATES OL the WVorid: Which cheretore L’hare here siren him a5 occationals colceled inem trom ihe Best Au. CHOTS. so c Giren Lines AB and BC in 2 li e, ad betore, and compleae ihe te CaglI ed t 10 1 53