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
- Tercexred Becweenchem, ill be likevise Infinire;, Deins obserred in a deep Valler, co pals near ctie
- DuE ac che Pamme time will be Intinicely lels chan Bron oF an Lill, are alivars more Retracted chan
- ehac Space wthich is intercepted bereen ero Inf. is chere vere no suchi FTill; or the Observations
- nire Lines chac are inclined, iho wich nerer (o evere made on chie Pop chereot; a5 if che Rays ol
- Srall an Angle; for char in che onc case che siven Lishr eere bene donn inro a Curre, by paitins
- finire Distance oF che Parallel Lines, diminithres che near che Surtace oF chie Mountain.
- Intiniiy in one Degree ot Dimension; Whereas il
- a Sector, chere is Intinier in. boch Dimensions; and
- consequeney che. Ouancicies are che one Intiniret)
- INEL EZION POINT oF any Curc, in Geo-
- metry, sienities che Poine ox Piace Wrhere the Cuere
- begins ro bend back again a contrary vay: AS FOF
- Breacer chan che ocher, and chere is no Proporrion Inltance.
- Decveen Fhem.
- Fromche same Consideration, arile thechiree se
- veral SFCCLS OF Infinice Space e SIIiEy, 25 has
- been La Tot d Lalanelepipid or 2 Cylinder In-
- sinicely lons, is sreater chan any Linure Magnitude
- tion greac loerer; and all such Solids supposed 10
- be fermed on siren Bales, are as thole Bales, it
- Proportion eo one anocher: Bur il chesechree DI
- mentions are antins, as in the Space intercepted
- berween cuo parallet Plains Intinitely excended,
- and ae a s Danee, or ivich Intinire Lenect
- and Breadch wich a tinire chicknels; aII such Solids
- haiI BC as ee slrentinire Distances one roanocher:
- buc these Ouanciries, cho insnitely grearer chan
- che orher, are ver Intinicely lels chan any ot chole
- Wrhereit all che chree Dumensions are Intinice. Suet
- arc ie Spdebs intercepred berween emo inclinea
- Planes Insinitels extended; the Space intercepted
- by che Surtace ot a Cone, or che Side oF a Pvramid
- likerrise infinicelr continued, 69c. oF aH wtrich,
- norwichstandins che Propotrions one io anothet,
- and eothe rast ABYISOF TnEnite Space, (Wwhereinis
- ehe Locus of all chings catare or ean be; ortothe
- Solid of Infinire Lengchs Breadch and Thictenels
- cakren all. mAnner OF ways) are easily asignablem
- For che Space becween civo Planes, is co chewhole
- as che Arsle oF chole Planes Eo che 360DeBiees0
- a LIcle
- A5 for Cones and Prramids ihier, are as che
- care and paruly Conrei towards auy Righe Liries
- Spherical Surface intercepred br, chem, is eo the
- Surtace oF che Sphere; andrheretore Cones are 25
- the Versed Sines oF hält eticir Angles r0 che Diame.
- cer ot the Circle. Thele chree Pores oF Infinite
- Ouancitu; are analasous io a Line, Surtace, and
- Solid, and atcer ehie lame manner cannor be compa
- red, or have no Proporrion che oneto che ortier.
- Belides chele, chere are also sereral orher SpC.
- When a Curre. Line, 25 A F R, is parciy Con-
- a5 AB; Or towards a tixc, Poinr chen che Poine
- cies ot infinite Ovantiei, arisinq from che Contem.
- F, wrhich divides che Concare trom che Cor-
- vex parE, and consequeny is ac che beginning DE
- one, and end of the orher, is called rhe Poirir ol
- Infection, 25 lons as che Curre beins continued in
- F, Kceps its Course che lame; bur ris calld ehe
- Poinr ot Retrosression, wtien ic inftects bacte asain
- cowards rhar Parr or Side troim whence it cook ils
- Oiginal. Sec chenext Firure save one.
- Desore the Theory os chis Inclection and Retrogrection
- eE Curres can be understood, a certain Principle
- must be explaind, which, is this, as Communicesed
- by Mr. Diccori.
- Whatsoerer Finire Ouanrics (or il ic be aFluxi-
- on ris all one) soes on corrinually increasine or de-
- creasins; it cannor chanse trom a Polcire roaNe
- sacire Exprection, or from a Negarire ro a Poh.
- tire one, vichour Arst becominu equal eo an Infi-
- nice or eo Nochins: Ic is equalro Nochins il ic docs
- concitiually decreale, and equal ro an Intinire il ic
- does continually increale.
- Toillustrate chis, lec chere be rvo Circles roucti-
- ins ene anocher in che Poine F, cheir Diameters
- A F and L I, lving in onc and cho same Righe.
- Line. et A F or F Lbe = a. Let che Distance
- becreen che Excremitr A and any Ordinare in ei
- cher of che Circles be == r0 x perperuallr. Icon-
- sider nou whac will beche Exprestions ot che Lines
- intercepred berveen F the Poine et contaet ot the
- Circles; such as are che Lines LB and L L inter:
- cepred bermeen E and che Ordinares C B and GF.
- Tis cerrain cherefore, Thac cakins a Point, 25 B.
- any wrhere becween A and L, thac chen che FX-
- prestion oF che incercepred B F is d = X; bUE Fa
- kins a Poine as F, berireen P and L, che Exprection
- leares c0 che Speculation oF che Lcarned Mache. oF che intercepred E F, Mall bC X = d. FOF AB, OL
- plation ot Curres, and cheir Alymproces, Wwhichhe
- MaLLCLANS
- INFIMITE SERIES. Sec Series.
- NETMTTIVE MOOD, in Crammar, is wwhen
- culat Person, or Number.
- INFLAMMATIO. Sec Phlegmone
- TNELATION, is che Diltentation OF a PAH
- FrO LTALULCNE MaLTCF.
- NFLFOTION (in OprickS) is a Mulriplicare
- cies oE ihe Bod7, bul chis in che middle ot il
- bictin.
- Verb is uled (0 as ro decermine neither any parri
- Refraction of che Rays oF Lighe, caused by the un-
- equal Densier et als Medium Wherebr che Motioi
- or Progress otche las is hindred trom goins on in
- a Rism Line, and is Inflected or DeRected by
- Curre, Laich the Ingenious Dr. PI00k, Wvho Artt
- cook norice os lroperer in his Micopraph), P. L1).
- And chis he Caich, differs boch from Refection and
- Retraction, Wvtich are boch made ac ehe SuperH
- NII. Nemron, a5 voui vill sind under che Word
- Liehc, discorered also by plain Experimene, chis A F beins caten Por x indisserenily, the Values ot
- Infection ot che Rays oF Lishe; and Mr. De la che intercepred Lines will appear wirh ehis chanse
- Aire lanh hetouna, LhdC the Bealtio et the olato et dIBI.
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/806933011:0441?run=74