Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences, fol. -
Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.90.
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The machine reads it as
- 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
Cite
Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences, fol. - . Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/806933011:0664?run=74