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: 0.82.
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The machine reads it as
- L. Y
- And the Square ol Li 100DVL 0cbb
- cc bb - 0 b m -) - 2 e b m-
- Square OF LK, Wuhich (BY Cor. C. OF the precedent,
- aSocbb = ecbb- + emm, 4mmec
- 0c
- Sum will BC K PT Square, Cor Ehe Square of che
- Ftyporhenuse) which i5 = = 0 0 b b =- o b m -
- 2 cb m mm-+ emm 4eem m
- And Square HE n = 200bb = ob m - - 2 ebm
- Imm (temm, +ec m
- And consequently Fxtracting Fhe RLOOES OF thole
- Equations (Which is very casic) rou illtiare RV
- = = 0b m - = and K n = = 0b = m
- 2em
- Wrhich evo added cogether, are manisets egu
- 200b, the Trantverse Diameter. Q. F. D.
- Way uled Dy Gardeners, Xc. to describe Ovals Or FI
- lipsis sby truo Pins in ehie Transverse Diameter at
- andn, and a Serinsmordabouchembr a tin ast;
- Wheretore the Square oF LN = = 00b b -
- LL Compasses, IS an Intrumenemade
- isi BraIS, 10 dra at one Rerolurion oF ce LICI.
- 2nY ECPLSOT Oval.
- ELLIELLCAL Dial, is an Instrumene macie
- commonly oF Brals, ich a Joyne ro Fold tosether
- ance Chomons co Fall Aac, commodioussy con-
- trived to tatce licle room in che Pocket; by id
- tmar befound che erue Meridian, Llour of che Day
- Rilins and Serring ot the sum; irh sereral orter
- Lroposirions ot cheGlobe.
- TLLIETICAL Spacc, is che Area conained
- wichin the Curre oF the Fllipsis.
- The Elliptical Space d a cb, is to a Cirele deseri
- bed on che Tranlverse Axe dC, as the Conjusare
- Diameter, Ot Axis Rectus ab, is co che Transvexle
- Are d c.
- oc bb - = ce b b - - 0 b m =- 2 c b m - m M
- Nou is ro cach oF these Squares pou add thS
- COROLLARET
- From whence arites the Realon Ot che C
- For by ehis means the Point F willalways Be inehe
- illipus; and since a Circle is delcribed by a ol
- imorins ound onc Pin placed in the Centre, ris
- plain a Circle isan Ellipsis, wotiole Foci are cet
- dent.
- Draio so, 5n, perpendicular 10 C
- Tlen vill 50: fc: : 5,n: 8 c.
- 2
- 2
- C. bMA
- COROLLARY H.
- Elence also ris eatie ro describe an Elixsis on
- Plain Geometrically; Oy os Sealé und Compass
- b: Al. 9201913) (W
- Butchis Proporrion olfo: 5n:: ab: de, wiltue
- erue wherever che Perpendiculars fo and 5 n Arc
- drawon; chacis, OE aII ehie Indirisible OE ME OHLEI
- CMCsC ana FsipIIS: Pherctore che llane spaces
- made our of chem must in che ivhole De in etre lame
- othe Circle, is as che Conjugare ab, r0 the Prari(
- verse Diameter dc. D. F. D.
- COROELARES
- Proporrion to one aotet. LMar iS, The FIlipsis
- WMeretore the Ouadrature oF the Fllipsis ill. be
- hac, wohen chac et che. Ciscle io cound, qod vise
- versa.
- LDROLLARV, H.
- Eor havins dravon etie Axis Fransversus D F, and
- in it catceri che Foci n and NI; ac a distance nOE
- chan hals che Transverse Axis, Wich che Compasse
- in A Arike an Ak, 25 f, and sex ctie lamie discance
- FrOm L1OG
- Then openinsche Compalses to the remainine di
- Stance C L, wich one foor in n crols the Ark F, anc
- char Fomewill be inthe Elliphs, and thus roumaz
- hindt temanu Conto ne poupteale, nieh all icadineto
- milar Figuse on a b, de Wee of che late
- The Ellipsis is a Mean Proporrional Berween che
- kind on des 25 a b eo a chird Proporrional; 1. c. A5
- che Edipsis is ro che grearer Cirele, s0 is the lesser
- Ciecte 10ie, vir. 30 ab10 dc.
- ereater and lesser Circle. For a Circle, or any Si
- as abte.
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/806933011:0290?run=74