# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/806933011:0810 # Permalink to this reading: https://leibnizlegible.com/page/806933011:0810?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 806933011:0810 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=806933011&page=810 # Source image: https://digitale-sammlungen.gwlb.de/content/806933011/jpgs/default/00000810.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 49 lines, status machine # Lines: 49 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. Lec et its Poines are suppoled ro be reterrea. LecD B bc called b, and alt rH ehe Equation will bcy y = b V V V, alu- = 2VV D A will be che Lanxent; 2 b) Kalt 1s 4 and 5. APDCaTS. 1682. there is an Omrectas Mechod For drawin Tangenes co all Curres, wilen Is ad poremene OF chis. erpendicular lo sonn Ladius, 25 C conches he Cirete buc i CC LbuC. ter NB, is pexpendicular eo P B, and eo Whiet elseas above: ut sivon, at 23 ch. ac, to any siven Cirole, at cb c. a Join che Poine a and che Cesre ot the Circle by drawins che Line a c. Then wich che Kallius ac on c, describe anocher Circle; crect a Perpen- dicur s t haet d deaW de, currins che former Circle in e: chen ac beine draun, is the Tangent requirecto IE noW D BC Greater chan 2 V, che Fangemrmus be dracon corvards B, it lesser, cowards F, il equ N. B. In che Acta Fruditorum For Decemiber. Ddemonstration. The Line en is a erue Tangent, because perpen. dicular ro the Radiusce, and ris perpendicularro TANOENT d a Circle, in Geometry, is a ce, because ee a is a Righe Angle; and ce a, is and wot. Righe Ansle, because ris equal 10 cb d, (WvtICM vas made (0 by Construction) and ris equal eo cb d, because che Triansle cb d, is equal co etue Lllangle aoc, 2s havins cro Sides and one Angle equal. Wheretore che Ansle eta, Lscesuat Lo The Riphe Line, as P R dramn wirtour che Circle, Ansle c b d, wotiie I3 a B R. F. D. Anocher very expedicious may os dramins a Tangene 0a Cirele, is ihis Let the Cirele BC R NC, the Point oF Contac NV, Transser the Radins N C, any ivhere trOm L donnvards into rhe Posrion R C, (O ThAE R N bC be equalro R C; then with R C on che CentreR. Arike a Semicircle, and a Rulerlaid trom C ihro R, will And che Poine Y; From Wrhence Y N beine drawn, will be a erue l’angene, because che Angle FNC bcins in a Semii circte, is a RixHE OHC. eROPO