Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences, fol. -
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The machine reads it as
- 2. In PlanoConcave Classes, when the Ray.
- Fall Parallel to che Aris, che Virtuat Pocus iS de
- stane from the Clals che Diamerer oF the Conca
- vits.
- 3. In Plano. Concare Clases ; A5 107: 193:
- Sorhe Radius of the Concarity:
- Toche Distance oF ehe Virtual FOEUS.
- 4. In double Concares oF the Came Sphere, Pa
- Fallel Rays hare cheir Virrual Focus ac che Dictance
- oF che Radius of che Concarier.
- Bur Whecher the Concariries be equal or une
- qual, ehe Virruat Focus, er Point of Divergency
- the Parallel Rays, is decermined by this Rule:
- AS theSum. oF the Radii oF boch Concariries:
- Isro rhe Radius ot cither Concavier: :
- S0 is che double Radius of cother Concarity:
- T0 che Distance oF che Virrual Focus.
- 5. In Concave Clattes, il ihe Poine co which che
- incident Ray Converges, be distant trom the Glass
- Carcher than che Virtual Focus oF Parallel Ray
- The Rule findins che Virtual Focus oE chis RaY,
- this:
- A5 the Diserence berween che Distance oF chi
- Poine trom ihe Otals, and the Distance oF the Vir.
- tual Locus From che Class:
- Is ro rhe Distance oF rhe Vircual Foeus:
- S0 he Distance oF chis POInE OF COnVersenCC
- Fromthe Glass:
- Fo che Distance oF che Virtual Foeus oF chis
- Convergins Ray.
- S. In Concave Classes, is che Poine r0 which
- che Incidene Ray Converses, be nigher c0 che
- Clals chan che Vircual Focus of Parallel R ays: Th
- Rule co find where it crosses the Aris is tMIS.
- ASthe Fxce(S OF the Virrual Focus morechanchii
- Poine OF Conversenc):
- Torhe Vircual Focus:
- So che Distance oF ehis Point OF ConVergenC)
- From the GlaIS:
- Foihe Distance os che Poine Where chis Ra)
- croresche Anis.
- 7. Fotind che Focus oF a Meniscus GlasS; sec
- under the Word Menisens.
- Practicat Rules for findins the FOci of Cilasses.
- For Convex Spherick Classes.
- IFit be a Plano Convex Class, makce it resect che
- Sun against a WVall; Wve Mall on the. Wall perceire
- CD IOLIS OL LISHL:, one more brieht wichin ano
- Wal eill rhe brisht LIMasC IS aE iS Imallest, che
- Cla(S is then distant trom the W all abOnEThC FOULH
- abouc hass ee Ldaus d he Conrerier curna
- trom the Sun: And che sccond Dittance is about
- half che Radius of c’ocher Convexies litewile
- As the Sum ot the Hac et Borh Converirs:
- Toche Radius ot cirher Convexity
- Soisthe double Radius oF che other Conrexs,
- Toche Distance OF chC FOCUS.
- ThC Foci os Concares ave obcairid by Reslecti
- On; FOr aS a Concave Mirror, Ox Speculum, burrS
- ac the Distance oF abBBE halF the Radius OF Mhe
- Concarier; (0 a Concave Glass, beine supposed, a
- Restectine Speculum, MaII unite che Rays OF che
- Sun ac che Distance ot abour halt ehe Radius ot
- the Caritr.
- MP. HallesSDoctrine oF che Foci oE Spherical
- Classes oF aHI Porrs, expoled cither 10 Di
- vergins, Conrergins, or Parallel Rays, is ad
- Follos. Sec Appendix 10 Molyneuxs Diop
- ricte.
- PROPOSTTION
- Zo find he Fccus os any Pareet es Rays Divereine
- trom, or Convergins ro a siven Point in the Aris
- os a Spherical Lens, and inclined therero under
- the same Anele, ihe Rario of, the Sines in Refra
- ction dme onu.
- Cthe Cenret et che Sphiere, Whereot it 15 2
- Oche Object or Poine in che Axis, 10 Or FCOMC
- Wtrich che Rays do procced.
- OP a sivel tas.
- Lex che Rario oF Retraction be 25 r 20s: Make
- CRIOC O aSSTOr, FOF che Immersion O( 2 R aY;
- OF aSr tO sFor the Fmersion: (that is, 25 che Sines
- I. FOr Clases oF Imall SphereS, (thac is, OF OFche Aneles in che Medium which c’e Rayenters
- deep Converities) applr chem cocheend ol a Scale eo cheir correspondins Sines in the Medium out ot
- ot Tnches and Decimal Parrs, and expole chem be-
- Fore che Sun; and upon the Scale we all find che
- brighe Intersection ot the Rars exactr measured
- ont; or expolechem in the LTole oE a dark Cham
- ber, and phere a WVhice P’aper receires the distinct
- Representarion oE distant Objects. there is the FO-
- cus oF chis Clals. Thisis an unirerlal and cerrain
- Wvaz For all Converes.
- Whichic comes.)
- And lavins C R Crom C comards O, che Poine
- Rs Mall BC che Canic Cor all che Rays ot e
- PoincO.
- Then deaw che Radius P C il necd be, conti-
- nued, and wichche Cenere R, and Distance O P
- Crcep a touch of an Arch incerlecting P C in C.
- the Line QR being deawn, Mall BC Parallel coche
- refracted Rar; and P F beins made parallel there.
- For a Clato ot a prels sonB Locuo, erde co Mall incerseet che Axis in che Poine F, wohich is
- fome distane Objects chro ic, and recede from the FOCUS TOUGHE.
- he OlaIS, tillthe Fre perceires all in C’onfusion, Or
- rill che Objects besinco axpeas inverced; liere Ese
- Eye is in che Focus.
- Or matie iE a5 CO: CP:: CR: CF, ane
- CF Mall be the Distance os ehie Focus seom ihe
- Demonstration.
- FHCL MMOTC obscure, WIC a MC Cales Fromthe
- Pa OF is Focal L. enBch.
- TFic be a double Loc exPole each side r0 che
- ces ofrheClals trom the all. LIC SI BManceis
- Sun in like manner, and oblerre boch the liltan-
- Whence che Locus is Found by chis Rule.
- Thus we hare che Radii ot the rmo Conrexicies;
- Let L Bethe Lens.
- P any Pone n is Surtace.
- Vile Polechereot.
- Scoiment.
- Ceriter ot the Sphere.
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/806933011:0346?run=74