# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/806933011:0847 # Permalink to this reading: https://leibnizlegible.com/page/806933011:0847?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 806933011:0847 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=806933011&page=847 # Source image: https://digitale-sammlungen.gwlb.de/content/806933011/jpgs/default/00000847.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 70 lines, status machine # Lines: 70 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. supposed 10 be autus d ETtele, the oisser Les villbe the Tansent of the opposite Anole, or of the nzle at the Centre; and the Trpoihenuse will be the. Secant os that Ansle: Dut if jou ima- sine the Trpodenuse to be the Radius of a Circle, then each Leg vill be the sine os its opposite angle- or of the Ansle at the Centre; as is plain front the adjonin eures. canc ot che same Angle. the CenTreC. sire Anste ac C Cenrre. And, Sine ot is oppolice Ansle c. En a Rieh anele Triansie, is either of ihe Lezs be In ihe sirst oF wohich, B (che Bale) beins made TheC alculationof thé Seven C eses os Risht- anele Plain Friangles. CASF + Given B. a. and b. Required PD Canon (R: B: : F: b: P3 R = 10. B = 2. 88536+2 = 768 C, = 9, 6197205 = 22 371 P = 2. 5050817 = 320 = Pd Thie Generat Kule For all Operarions in Frigo. nometry; 15, 10 lrice donn che Numbers found in che lables accordins to chie Order ot the Ca non: And ilen addins cosecher the second and chird Numbers, trom cheir Sum substract the Art che Remainder is ihe Losarirtm oC chie Jerm By Gunter S Line. Extend che Compalses trom 45 Degrees on che Tangents, 10 22 Degrees 37 Minutes, the same Eacent will Cach in che Line oF Numbers FO CASE II. Civen B, a, b. Required Fd 5, a: B: : R: L+ S, a = 9. 9652480 = 670 23 B = 2. 8853612 = 468. 2 = 10 the Radius, P (the Perpendicular) is the Pangene ot the Ansle ac a, the Cenrre of che Circle, wtich is opposice 10P, and ct Lnase, is the Sc- In the lecot Ligure, wrhere P is made che R a- dius, B is che Tansent of che opposire Ansle ac In FhCHId FIgure, Where FTFhC FES DOLIICHUIE IS made the Radius, P is the righe Sinc ot the oppo- In che Courch Figure, E beins also made Radi- uS, bur C the Centre ot che C ircle, B Will be che ouett. 766, backivard 10 320. B9 296L (C. 2. 2B, a, b EI S, an B:: R : FI (0, B B, HI(V V HI : R :: B: 5, a cv: bV A B, II P E: R:: B: S, a which cinds Then R. T. B:: B: P chic Va, OrR: B:: T. b: P BB: P V V B: R:: P: F: b cV: V ~ 6 B: P E . B: R: : P: F: b Dy che last. ThenS: bP:: R: II cV: Latite Lal bot ECdea L1O 166, lD B32 On EhtC Hi paiter As A B lR: H: : 5, a: B b~NCY The Seven Cases os Plain Frianeles. Girem Otren, qui Proxortion. 6y Cuncer s Scale. H2 = 2. 9201132 = 832 = Ht. Fxcend che Compases AOMM 8y DESTCCS 23 MII. nuTeS, 10 90 Degrées on the Line ot Sines; the