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: 0.88.
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The machine reads it as
- DI ChC LCHEH, iS KnOWIK
- by ihe Astronomicas LaBCS; Wrhichi is the AnlC
- 02: Buc che oblerred Ansle C hZ, beins ex
- Ternal ro che Triansse, C b Z. Will bc = 10 C
- Wrhere rake c trom ir, and ehe Remainder is
- che Angle h C c = rothe Moons Parallax, wrhose
- Subcense is he = roche Farrhs Semidiameter.
- Suppose thac h0 be 4000 Miles; etien in rhC
- Lriansle C h c, chere are alI che Angles, and chc.
- A5 S, B. IE0GC :: S, C, 10C B.
- ITer erue Distance
- And consequenis C B is tound.
- ASaI, IM ThC LHaHSIC C DO, LHC HIBIeSOCL
- CCD, ane che side C bens Biven, che dia
- C D will be Found by chis Proporrion.
- 155, D. C6: : S, C. GD.
- And consequenly CD also is found.
- And nou haring in ne LratBle BD, ThC
- evo Sides CB and CD, and che included Angle C;
- vou can srst find che remainins Angles sererally
- by Axiom 3. and chenche Side BDby Axiom 2.
- Or, IF nOE IbenO aBlC, IO BCC HICAIeT MaH thie
- Poinea, vou could nor meature lidewars asbetore,
- bur ouly backvard t0 b, Or tormard Erom b to a
- Nou may then casilys pain che Lenech FrOM D
- 0c
- Wheretore,
- A5S, C. hc:: 5, h. C c.
- Irhich is che Moons Distanice from ehie Centex os.
- out C18BC.
- Anct al(0, 25
- S C. Bc:: 5, 0. C B.
- Ttie Moors Distance trom che Place ot Obserra:
- tion.
- TRIGONOMEFRY Sphericat
- Desinitian 1.
- A Sphericat Friansle is made By, Or containec
- under chic Arks oF chirec great Cireles oF che
- Sphere.
- Definition 2.
- A Sphericat Anele, is che mutual Inelination ox
- Aperrure of the Planes of trvo great Circles.
- Properties os Sphericte Trianeles.
- r. Irtien one Circumterence oF a Circle curs.
- erosses, or talls on anorher, the Sum of che Angle
- made cherebr is equaliormo righe ones.
- 2. When evo Circumterences oF Circles crose
- cach octer, ele opposire or verrical Ansles are al-
- ways equal.
- 3. In every Spherical Triansle, he Breater An-
- &le is oppohiie c0 che prearer Side.
- 4. An Dosceles Sphericat Triancte, hach iES An-
- eles ac the Bale equal 1o each octier; the Converse
- OF utrich al(o is Erue, ThaE iF the Angles at the
- Bale are equal, che Priansle is an Isoceles.
- 5. TFeO Sphericat Triansles are mutually Equi-
- laceral, ches are alo Li quiansular and similar one
- c0 amochier.
- 6. IF ruo Spheric Triangles hare in each one
- Angle and two Sides including ic; ox is cher have
- one Side and vo Anples adjacene respectirelys
- equal, rhe whole Trianeles ate equal.
- 7. Any ruo Sides oF a Spherie Trianele, are lon-
- ger than the chird; because cHC ArK OF a GrCAE
- Circle is the rearest Distance BetWeen aHy ENO
- Poines om rhe Sphere.
- Side hcknonm.
- for placine the Instrumene at a, vou cati tatie
- Ehe avo Angles b a D and b a C, and cake alto
- C a D; meature then trom a 20 b, and ac b rake
- al(o che rrvo Angles a b D, and a bC.
- rou calily sain che Sides a C, and a D, in cherwo
- Lrianeles b a C, and b a D; and havins betorc
- catren by che Instrumene che Angle C a D, Vor
- may sind che side C. D in thac last Triangle aCD
- by che second and chird axioms ot Plain Obliqu
- Trisonmetry AIIO
- Fourchls, On che Application oEchis ParE OP Tri-
- conometry, ro che Doctrine et astronomy, depends
- ihe Mechod For findins che Parallax and Distance
- Ot a LlaHEE, OF STaF.
- N Can
- LCFC BCThC CenteF OF OuE Farth, and B a PoinE
- on ies Surtace; at wwhich, an Observer at h, cakes
- wicte an Instrumene, the Anele ( BZ, or the Di-
- Rance oE the Meridian Moon C, From her Zenirh
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/806933011:0855?run=74