# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/806933011:0664 # Permalink to this reading: https://leibnizlegible.com/page/806933011:0664?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 806933011:0664 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=806933011&page=664 # Source image: https://digitale-sammlungen.gwlb.de/content/806933011/jpgs/default/00000664.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 89 lines, status machine # Lines: 89 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. thereto. Then che Linc C R L’beins divided in- to equal Pares, ansiverins ro equal Spaces oF Time, ter the Descents oF che Project be laid donn in Lines parallet ro CC, proporrioned a5 the Squares oF the the Times, (1. c.) lec them De araWon HNOMS t0T, TrOm R LOV, From L FOX, and FrOm L EO B and deaw che Lines I HI, VD, X Y, BC, P2 rallel t0GF; L Car, the Points T, V, Z, B, are Points in che Curve described by che Project, and that that Curve is a Parabola. Thac che Poines are in the Curve, is eridene by Axiom 2. Under che NVord Descent of Feavy B0. dies; and ehe Parrs of the Descent GFI, CD, G Y. GC== ST, RV, LX, FB, being as theSquares OF eHe Times, (by Prop. 2. under the WVord DC. Scent) chat is a5 the Square of the Ordinates FIT. DV, YZ, BC = OS, GR, GL, GF, chc Spaces mealured in those Times; and there being no other Curve bur the Parabola, Whole Parts ot the Diameter are 25 the Squares oF che Ordinates. it Follons chat che Curve described by a Project can be no other chan a Parabola: And Cayins, 25 R V the Descent in any Time, rO R C Or VD che direct Morion in the same Time; (0 is V Deo a Thira PFO. Portional, or the Paramerer ol the Parabola 1o the Diameter C C, Wrhich is alvars the lame in Pro- jects cast wich the lame Velocity: And the Velocity being detined by che Number oF Fcet moved in a Second oF Time, the Paramerer will be found by di- vidins che Square OF che Velocity by 16 Feet L Ich, che Fall ot a Body in che same Time. PHOTECTION, in Carmister, is purtins any Circles Or Meridians, and also AZimuths, becaule che Pote is in che Zenith. And ro deseribe these Circles, find che Pointe Macrer to De calcined or fulminated inco the Cruci- 15, 30, 45, 60, (9c. in che Lquinoctial, by seuins ble Spoonsul br Spoontul. The precended Cactins che LTaIF Tansent of cheir Distance From v; and Of che Porder oF che Philolophers Stone into a Cru- chen their Centres are found by serring their Co- cible ot metted Meral, in order (as cher boas secans boch ways trom cheir Poines ol incersection ther can do) co cransinure ic into 60ld or Silver, lWvith che Equator. is called also Projection; and the Marter they caA In, the Pouder os Prosection. PROTECTIONos the Sphere in Plano, iS a erIIC ∞, Eo, and W, W, are the Dorchern and Sou- cherri Propicks, Which are described by serring the Geometrical Delineation oF che Circles oF the FTaIE Tangenc oF 23 DCS. 30 Min. From Y’eactu Sphere, or any altigned Parrs oF chem, uxon the war: Then che Tansent ot ies Complement, viz. Plane of Come one Circle; a5 on the Forizon, Ne- ridian, F quator, Propick, _c. And this is cither Ste- reographick, which luppoles the Eye to be but 90 Degrees distant from, and perpendicular to, che Plane oF the Projection; Or Orthographick, When the Fye is ac an Intinite Otance. By WHaC NaLH BCCH CalghE in our Doctrine oF Spherical Geometry, (sec that Word) ic will bc very 66DC9. 30 MIin. each var trom thence on the Colure produced, sires their Centres. By chis MC- thod alI Parallels ot Oeclinations may be draWn. O vou miohehave set the Co-secant et che Pa- rallet from the Centre oF the Primitive, which vould have also found the lame Point For the Cen- ere ot the Parallet, whose Radius is equal ro che Tansent oF ies Distance trom its Pole, bY Cor. 1. calie ro project che Sphere on any Plane. For etie and 2. oE Probl. 2. OF Spherick Geometry. Analemma, sec that WV ord. And here FOlIOWS an Fixample of the Scereographick Projection ot the These Parallels in ehis Projection, are allo Mmi- Sphiere on che Plane oF The Meridian, E. quinoctial, canters, or Parallels os Altitude. and FTorizon, which gires sood Lighe into che Knomledse oF Spherical Triansles, che Doctrine d che sehere, Dralins, ec. From che Dirision on che Scale ot Fals Tansents, buc denominated accordins to the signs oF the Z0- diack, rectionins 30 Deorees r0 each Sig. On on the Planc os Ihe S PEF ZQN E DC che Meridian. Z. arid s ea Lenbs 25 alo ete Lenab and Nadir F. O che F quinoctial and TTorizon. ZI che equinoctial Colure and Prime et- ticat Cirele– 15N, Z 30N, Z 45NV, C9c. are TTour 2o. i. Iste ctrpirck. Wtien mun be dirideu dornards by che Force ot Gravity. L et GB DC the Corizontal Line, and C a Perpendicular Ariom, under ehe Nord Descent, it vould more equal Spaces in equal Fimes, ere it nor deRecteo Lines GS, C RR, GL, G F, Or 25 che Squares o1