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: 0.78.
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The machine reads it as
- Example.
- de equal to ehie Abloluce Lusiber siven; and etro
- liquarion wullbecbu a bimple onc
- And these ero Ouancities added cogether, mute
- 10 36 = t
- add64 = d d
- 1. 100=10 =1 2 d.
- buE = d = 8
- heretore 2 = a.
- In ihe Second FOrM.
- Tec a a = d a = R.
- Procced in all respects as in the FXI FO
- vou must at last add = the Coesticient t0 the RC
- Exrracted out ot che Ab(oture Number instead oE
- cakins it from ic, as betore; because here a repre
- Cens the greater ROOE; and rhuS, il a 4 - - 16 a
- F36. a Wrilt be tound = 10 18.
- Inche Third Form.
- LetS 4 = a a = R:
- Flere Becanse the hiohese Porver is Pepative, is
- impossible any Puch Roor ean be Founa chat Wuill
- and ed - = dd = 8c
- e = R I +dc
- VR. F : dd
- l 8
- I Wheresore a = VR + dd. d. P. F. D.
- And sirce a - L d = R -+ = d d: H exct
- Parc ot che Equation be Squared, there will arise.
- un nca a ad Y : d d = _ Y d d 1
- tus lreut a
- 51C
- Which is the orhex common Canon Por Solviné
- produce =aa; Wheretore rou must imagine aH Cuadracicks, by addins ro each Part the Square ol
- ihe Signs changed, and then ie will Rand THUS:
- halt che Coeslicient, in order ro complear che
- 5a- a a = = R, or purcins che highest Square.
- Pover tcA, a a - 5 a
- 1P. +1C
- Li. 1 c.
- 51.1IF. C
- Inthis Form, the Coessicient is the Sum oF the 10) 0c In the Second FOrm M
- Evo ROOS, and a mar De cither of them.
- Anahereche Absolure Dtumber is so decermined
- as chat ic cannor be greater iMan che Square oF halt
- iHe Coerticients: FOr,
- IE the Absolure Humiber be, = r0 che E D oC
- the Coessicient, ihe RoOtS arc equal.
- y. The Practical Rule chen is chis: ugstu
- Fromthe Square oE. half the Coefsiciene, take
- ehie Absolure Number siren; and Exrract che
- Square Roor oF the Remainder; Which RoOr ei
- cher added co, or Subtracted From halt che Coeri-
- cient, will sire accordinoly che srearer or lesser
- Value oF a.
- ThuS: IF20a = a a = - 36
- ceet sI ONOFAS a aa= L R
- Erom 100= =SS Ois ipC I
- Fatte 36 = R OiOC lo Bopzol
- iet ni
- l3 17 3(1133 1Cd ON
- :31 V: 64 == 8 1a3 sel 133519 05ts 10 131951C
- nOV 1O =)= B = IB FC GFEATCF ROOFL ds 10 1
- 3and 10 = 8 = 2 the LoNer ROOr. 1110) à100,
- 1005 2 35
- esite
- i espC. IlSA.
- a 11 e 2 l
- 13i aBd Ca 2 d d uF a
- Ldese added make c e d d =F R. e 1
- Theretore ee=
- bocti
- aud e
- du e.
- Lllccce
- Nherelore
- R. I = d d
- In any oF the Three Forms, il the Coericiene
- have a lesacire Sien, pur e. L = d; buc it ic hare
- an Aftirmarire Sign, pur e-= d, instead oE a, the
- ROOT oE che hishest untnoun Pover.
- Then will ec F e d F = d d = a
- dd
- =4 - 2 8.
- .2-7 =4 8.
- Sue O the Equarion be Squared, ron will have,
- ad ddad = L d do
- Wrhich is che comtuon Cahion tor solvine Lqua
- HI. Fo Solve Quacrariek Adtected Equarions, by ionsbs compleatins che Square.
- tating amay the Second Perm.
- 10 c d + i d d = 7
- .1 431
- In che First Form;
- 64 = 30.
- d a = R, OF a a-
- ex e = d=
- Then uill ec = ed. + : d d = ac
- hich addedrogett. makie ec = = d d = F
- Theretorec
- And consequems
- Buce= Z
- Theretore e=
- a
- oe a a F. 16 a = 36
- Conteguentls a Y L d = VR. F = ad
- Then 150e-( e d = d d = a
- And since a = = d = V: R L Z ad; i eacte
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/806933011:0681?run=74