# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068204:0017 # Permalink to this reading: https://leibnizlegible.com/page/00068204:0017?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 15, 2 # Folio 9r, page id 00068204:0017 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 8v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068204&page=17 # Source image: https://digitale-sammlungen.gwlb.de/content/00068204/jpgs/default/00000017.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 99 lines, status machine # Lines: 99 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. cognota ruadrantis aroa. per continuami additionem nonce partis eojuahabobis soctoros ad singulos docom graduo i somicircilo don. por continuam additionom docimae partis partis hujus. habobis soctords ad gradus; et sic ad docimas partos graduum et vltra procodi potost. Tunc radio dxistonto 1. ab uno quoqe sectors et ejus complomonto ad 1809r au for dimidium com– munis sinus rocti ot rolinquontur sogmonta in Tabulam ro- 1. Eodcmmo: foronda. Caetorum quamvis sorios hic non prosnt. in aliis do Leibnitius tamon locum obtinont; et quonium, hoc ad darum usum spoctat collegit seriem nom gravabor in aliquibus atingoro. Constructonom Logarithmorum non aliundo poti dobors. crd– dotis forto de hoc simplici procossi qui ab istis pondot. Per mothodum supra traditam quaerantur Logarithmi Hypor bolici numororim 10. 098, 0.99. 101. 102; id quod fit opatio unius ot altorius horae. Don divisis Logarithmis quatuor postorioram per Logarithmum numori ;0, 0 addito indico 2, prodibunt vori Loga rithmi numororum 98. 99, 100, 107. 102. in dabulam in sdrondi Hi por dona intervulla intorpolandi sunit. et oxibunt logarithm omnium numororum inter 980 x 1020. omnibus inter 980. et 1000, itorum por dona intrvalla interpolatii habobitur Tabula caterus constructa. Tinc de his colligondi orunt Logarithmi ominium primorum numororum dorum multiplicium minorum quam 100: ad quod nihil roquiritur praetor additionom et substrat itionom, siquidem sit V 338IXIO2O = 2. VC 198 V2 =7. 992. 32 19. = 11 1007 3XI5 = 15 31. d92 = 37 27 9971 = 59. 9882 13X 13. 24 8+ 99b = 85: 9968 984 29 = 67 7X16 9945 102 = 10 6 = 1II. 9849 3X 9 983 3 989 1 19 GX13. = 43. 983 b7 594 14 27 1 13. 549963 = 3, 2 = 5. 98 9936 16X 17. e 98b = 29 2X17 = 47. 9911 = 53 9928 a8+17 31X17 73 9954 =25 u = 89. 9894 = 97. Et habidis sic Logarithmis 6X17 omnium numerorum minorum quam j0o, rostat tantum hos etiam somet utque itorum por dona intorvalla intorpolaro. Constructionio Tabulae sinuum, a qua pondot tota ros Trigono triccu funidamentum optimum eot continua additio dati anguli ad sdipsum vel ad alium datum. Vtpoto; in angulo addondo RAE in scribantur 3g. JZ. HL, LM, Mn. n. D, D) oc aequa losradio AB: et ad opposita Latoru domittantur porpondicula BE, 32. dR. 25, (F. m2. nX. Oy. vc. JH, KCG. ZM L. VC. difforentiae orunt angulus A: Sirus H2. dR LS. . et Cosinus 2. ZR. LB, vc Dotur Et angulorum jam aliquis dorum 2mk. et caeteri sic orvortur. Ad 8V. Et MV don: Ho porpondicula Ta et Kb. et propter sim. tri. ABE. TLa Lb, ALG, AmV oc drit AB. 2E. YL. f2 (= SL LV):: N9 Cn Km): m6(- mv- 13.). Et AB. AC.: KV. Sa (= SL+ Cv). 15. a IX 2X3 + etc 15