# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/806933011:0698 # Permalink to this reading: https://leibnizlegible.com/page/806933011:0698?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 806933011:0698 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=806933011&page=698 # Source image: https://digitale-sammlungen.gwlb.de/content/806933011/jpgs/default/00000698.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 112 lines, status machine # Lines: 112 recognised, mean confidence 0.90 # 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. Foud ihe Sun, really deviaces FroM That Larallet um, Whileh ic seems ro Kecp wvich ic sele an che Eime Ot one Annual Rerolution: By this ABCEFZ rion it delcribes a Conical Superticies; and Farths Lgulator morins round the Sun, coserte Writh he Fdechs AXis, che Incerlections oF the Cele. stial Equator ich ehe Peliprick, will run back, Ox more in Antecedentra, 25 Wwill all Orher Points O1 the Fcliprick, (25 vell as chose Rguinoctial Ones.) he Sion lauris, ec. ceiver. Rario in boh Fisures. For Aappose rhere was siren any chree Numbers or Ouantiries Ceomecricallr proportional, a5 A, B, anc C, and chac it vere required eo sind d FourrH D proporrional torhem. Since it is chat A: B:: C: D, ThCrCFOrE AD =BC, and contegueneir D = BC A5 chac is, che Fourrh Term is equal toche Ouorient oE Sccond. mulciplied bs che Third Term, dirided bY che Fust: Crchus in Numbers. Suppose siven 12, 4, aud 9; required a Fourrt Noi 25 12 : 4: : 9: . BuE 12 Q = 4 X 9 = 36. Theretore C= Sides by 12. 12 C: 3. by diridines vorta CiOROLL ARF. And trom hence tis plain, Thax if any cvo Fri argles, Parallelosrams, Prilms, Parallelopipeds Prramids, Cones, Or Cylinders, hare their Bases and Alcicudes Reciprocally proportional, those eve Fisures or Solids are equal to one another; and vice versa, it ther are equal, their Bases and AIri- tudes are Reciprocally proporrionable. RECTEROCAL Proportion, is Whien in fOu Numbers, the Fourrh is lesser than the Second, by (0 much as the Third is grearer than the First, and vice versa; on which is founded che Inverse or In- direct Rule of Threc, THUS. 4 : 20: : 8: Scethe Corollary atter Reciprocal Fisures. There is great ule made oE this Reciprocat Pro- portion, BY NIr. Tsaac Nemron, and OtherS, in their Demonstrarions oF che Lams of Motion, _c. and indeed wirhour a clear knowledge ot il, they can- not be undersood. RECENTATIONos a Plain, is che Ouantier oF Ocorees wrhich any Plain, on wetich a Dyal is sup Posedro be drann, lies or falls backmards tromthe eruls uprisht or verrical Plaim RECLIMINO, in Dyatlins, che Plane thatleans trom ron iohen vou stand betoreir, is said ro be a Reclinine Plane RECLIHMC Declining Dyals. See Declinins Rectinine Dyals RECOOHTSANCE, in LaW, i5 as a Bond OE Obligation of Record, cestitrine the Recoenisor FO ove to che Recornisce a cerrain Sum of Moner, and is acknomledged in Pome Courr of Record, Ox bC. fore some Judge, Master oF the Chancerr, Ox Ju- Rice ot Peace; and those char be meer Recoeni- Sances, are nor Scaled bur Fnrolled, and Pxecurion by Forcechereot, is oF all he RecognisorS oods Or Chatrels, (exCepE DrauehE Beacts and Implemens Ot Llusbander) and the Noreer ot his Lands. RECOGHTSEE, is hre ro whom one is bound in 2 Recognisance. RELOOHETIONE cdnullanda per vim C duri- tiem facta, ls a Wric ro che justices oF che Com And therefore the Signs OP Fix d Scars chat make the 12 Zodiacal Conlellations, will appear move torward, in Consequentia; a5 les o scem to hare aosse by che Ouanciey oF a wslole Sisn; For erhich Rcason, rou sind the Picture o the Ram Painted on our Globes at the beginnins oF Propoiional. DF. Gregory in his Fxcellent Astronomia Physica C9 Geometrica PFOP. LZIV. Tib. F. Makesthe PrO. lace Spherordical Fisure of ihe FarH, 10 be che Primarr Occaston ot ihis Recession ot the Equi noctial Points; and Wichal sews chat the Parcts Axis in evers Annual Rerolurion round che Sun vice changes les Inclination to the Rcliprick, and 25 otten recutns again to irs former Pohrion. REOIDINOS Morbus, a Relapse, is wotien che Norbitick MatteF, Thac WaS lefe in che Arst Di Semper, Desins to Work and termenie again. RFCIPTEHTS, Or Reccivers, are those Vestels utrich in Vistillarion, are Luced co the Beak, Ot Nose oF AlemBick, RCTOTE, (00. to receire itic Matrer Wtich ls raised or Forced over the FTelm by thie Fire. THac Clals also Wtich is extrausted Rir BY NII. BoyLS Rir-Pump, and Wvichin wvhich ans Animal, OxcMHer Bodies, are included ro make P.X Periments upo is by him ulually called che H RECIPKOCAE Figures in Geometrr, are suct as have the Anecedents and COnseGUCHES OF LI tere A: B:: Thac is, 25 much longer a5 che Side A in che Tirst Rectanele, is then B:: (0 much deeper is the Side C in the second Rectangle, than the Side D in ihe first; and consequendr che Lensth ot one is compensared by che Depth of the ocher; and ali0 as the Side A is Z longer than che Side C, (0 che Side B is one Ath longer chan D. Wheretore che Rectanoles mustnecds bc equat And Fhis is che Foundation oFrhe Catholick Theo- rem; Lhac the Rectansle of the Extreams must al vays be equat tothat of the Means: And consequent- Is che Aealon ot che Aule es Threc, or Colden Kule, Imon Bench, Eoc che lendins ot a Record iouchine