# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/806933011:0850 # Permalink to this reading: https://leibnizlegible.com/page/806933011:0850?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 806933011:0850 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=806933011&page=850 # Source image: https://digitale-sammlungen.gwlb.de/content/806933011/jpgs/default/00000850.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 89 lines, status machine # Lines: 89 recognised, mean confidence 0.84 # 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. By Cunters Scales Ocherile chllo. THC EXIEHE Ttom22 DeOrCeS 37 Minutes, F01 Dran a Circle about the Frianose troin Wstole Centre O, let che Perpendiculars e, K, ad and ihe L ires 0 a, 0 b, al. bb _ atta rO chC chree Angles. Fhe Sides oF the Friangle vou de Dectea by ihe Perpendiculars, and conséqueney à c de cb, bk = KC and c t = F a. Whcretore a5 Mhe Wrhole Line a b is t0b 0:: (0 ill che Hats sde à c be to. the halFkc; bue a c ald kc, are the Sines Of the Ansles at the Cenrre a d e and L0c, which Angles ac the Cenrre are sererally equal rothe An- Sles oF the Triangle c’and a Decause cher Aand or halfrhe ArKSs chac eHC Lses BE The Friansle do; Wheretore a b : b c:: 5, 6: 5, a. Tet F, B, and O, Be the Sides oF an Oblgue Plain Friangle; a b and 0, ls chree Anoles; here because There IS nO RIZHE-anGlC, CATCC TINAS MICLE be atvars given; hac Bo, cuntet co sides and one chree Sides. From vhence will arile the etiree Former oF he vards, to 90 Degrees In the Line of Sines vill reach (Om 328, 20832 L L Bers. Ciren HI and V. V. Required B. R: 1 :: R = 10 TI = 20 9201255 = 632 5, a = 9. 9652480 = 67 23 B = 2. 8853719 = 768 = B. C ASF VII. By Cunter s Scale. Or, be lec Fall 10 the chree Sides oF chie Priargle. Angle, one Side and rvo Angles, ox else all the Back eo 5y Degrees 23 Minures, vill reach in the Line oF Numbers Trom 832 bachatus l P loo es 768. THC Extent From 90 Degrees in Line oF Sines Resration of Oblique Plain Lmaneles. AXIOM H. le: proport to one another, as the sines os their oppd Ansleso un everys Civen. Required. PropOrtiOnS. 50:: H. 5, b. Not that tne anele b is amti uOuS, and vou MaIE col lect trom the Circumstan ces oF ehe TrianBIC, WnC eadet de de adldecite et a cute re fiest finae chc H sle b by Case 2, eneme wist be knomn Bs cakine the Sum oF b - c. FFOI 180. TBen 5,0.C:: I: : S, a. B. :: 5, b. H. Z. OF che opposite AnBleS Z. X oF the opporte Angles, anc Z L Findthe Aneles By THC Former Ca(C, and thenS, :: 5, a. B. Or 5, 6. O:. and che 10:: H - O. X. B and E. B - 2 X = BD Then Wilt I. R: B Cotine Ansle C. and R:: b axiom 0. Tine Ansle And chechree last are Pec Fall scom chè Arese b, a Perpendicularro che euo tollovuie au. Base a c: P’or then chewhole will De relolved into 2 Riphr ansle Friangles; and consequenty by Axi- om the ArH a b. R : : b d. 5. a. 2110 b c. R :: b d, , c. Woheretore a b. Bc.. 30, d, a. by Recipro. caltir) B LrOpOriOn. (olved by che help oE che A X LVM