Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences, fol. -
Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.83.
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The machine reads it as
- 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
Cite
Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences, fol. - . Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/806933011:0502?run=74