# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/806933011:0764 # Permalink to this reading: https://leibnizlegible.com/page/806933011:0764?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 806933011:0764 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=806933011&page=764 # Source image: https://digitale-sammlungen.gwlb.de/content/806933011/jpgs/default/00000764.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 70 lines, status machine # Lines: 70 recognised, mean confidence 0.89 # 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. SPI IE the Pole OF che Primitive Circt e legute etiS IIS C CHEC. a Diameter) curs ic. ertich in che Projection will Bc an Ark OE a GFCAE Circle. 2. Consider charchis Cirete Mu Cu eC LMi- rive in evo POinES, char will be distane FrON cach ocher just a Diamerer, 25 is che C ase oF th. Incersection ot all grear Cireles. 2. The Pole ot ehis Circle must be in a Lit Perpendicularto iis Plane. And, 2. Lay 2 Ruler trom A cO B, ic will cur che Limb in F; chen rake che Cord of 90 Degrees, and sec ic trom Fcoh. 3. Lay a Ruler From BEo A, ic will cuED P in S: which Poines is che Pole required. N. B. The Aindino che Poinrs sandB, is called reducins B co che Primitive Circle, ard 10 rhe Di. ameter. EROP. XV. Problem 4. T0 describe a Spherical Angle os any Number os Dezrees siven. P. TF the Angular Poine be acthe Center oF che Primitive Circle, then rismade ac any Plain Angle, numbrins che Deorees in che Limb, From che L ine OF Cords: For all Circles passins chro che Centre, and wrhich are ac Righe Angles wich che Limb, must be projected into Riphe Lines. 2. TF che Angulas Point Be at the Periphery OF the Primitive Circle; dram a Diameter aS AC 3 (sec the last Fipure:) Then cake the secanr oF che Angle siren in vour compasses, (a5 suppole 65 Degrees) and Cetring one FOOF in A, crols che Di2- meter in e, exifno Diamerer be drawn, placing one Foor in C, and CrostInS THC FORMeF AEK, vou wvill find che same Poine e, Wvtich is the Cencer ol rhe Cirele A a C, ertrich wichche Primitive makes an Ansle D A 2 OF65 DCgrceS. N. B. H che Angle siven be obrule, rake che se- cant oE its SupplemenE rO 180 DegrCeS. 3. IFa Poine as a vere aigned, chro Wrhichthe Ark OEthe Circle constiturins che Ansle must pa(S; deaw che Diameter A C (aS BCFOrC:) Tten cake che secant ot che siren Ansle, and setrins one POOE in A or C, Srike an Ark as ac e, andrhen wichche secane ot the given Angle, Petring one Foorina, cross che ocher Ark in e, Wrhich will berhe C entre 3. This Circles Pole cannor bur lie berveenthe OE che Oblique Circle required. Centre oF che Primicire one, and ils own. kDP. XIV Problem 3. Z0 find the Pole of any Cireat L.iClC. IEthe Pole OL a Right Or Perpendicular Cirele b Soughr, Tis 90 Dessces MMane, reckoned uxon che Limb trom the Cors, Wontete enet (irtrich. AS P is Pole OEthe Perpendieular CirCt a B. IF ihe Pole oF au Oblique lircle bc deser Por lntance. PROP. XVI. Problem 5. Fo dram a great Cirele thro any eud Poines siven, asa and b within the Primitive oe. quired. Leche Poles ol n dre Dra a Diamerer thro thac Poinc which is fur- hest From the Center, a5 D R, producins ic be- rond che Limb if chere be occation; Pet 90 DC. 1. Draro che Diamerex A C, audl chem auorhiex erees rom D or R c0O, and drav O a. as b F, Perpendiculas 10 i1. Them