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( the Arithmftical QyadVature of the Hyperbola it obtain’d) I thought it n °tamils to rq)rdcnt to View the whole Harmony.

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the Circle A B C D, whole Infcribed Square is 7 , _L

the Hyperbola C BE HQ> whole Power Ä-BCD, is y 4.*

fi . j, To the. Afymptotes AF, AE, ( at Right Angles to each othcr, let there beS ' v delcribed the Curve Line. of, an Hyperbola, GC H, whole. Vertex-is C ; andÄBCD, tl>e Po\yer.or Squate tonwhich every Rectangle made of the Ordi-nate, as. E B, and tJie imexcqrted part A E, is always. equas About this Squarelet a Circle be drawn, and let the Hyperbola be cpntinu?d from C to H, 16

that A E be double to AB. Then putting A E to be 1, AB Ihall be ~-,andits.Square A B C Ihall be -H, andthe Circle (whose,Pöwer ABCD is inlcribed)l&tUbe —1- ^ -fc.C 5 ?o- but the portion of the Hyperbola CB EHC(whole Power infcribed. is.tbe sime. Square, *) which represents the Logarithmof the Ratio of A E to A E* (brofx to 1) Ihall he -h -E -+ , &c.

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Tungtntt to di i- Osta fit q uxli bet Curva DQ., cujus puncta omnia referaptur ad.'

Gnmetricd Rtcctm quamlibet datam E AB, per Rectam DA; sive E AB fit Diameter,curver,byKeni- £ u a ]^, q u xjibet, five etiam alix iitiuil linex datx sinr, qux, vel quarum po-€us. n. 90. tdratev/Bquaüonem. ingrediantur; parum id< reter r.

t> 5143- Ii>, yEqnatione Analytica, facilioris explicationis cauH, DA perpetuo dica-

f«. 14, tui; v, &c B.A, y ; E.Br vero. & alix quantjtacps datae ,. Consonantibus expri-mantur.

Tum liipponatur, ducta, DG, tangens Curvam in D, & occurrens EB,producte, si opus sit, in puncto C; & C A perpetuo quoque dicatur a. AcLinycnieudam A C, vel /», h$ec erit Regula Generalis;

1. Rejectis abctEquatiqne paytibus in quibus vebv, non. inyenitur ; statu-antur ab uno latere omnes in quibus est/, & ab altero ilice in quibus habetur..v, cum liiis signis -+• vel—. Hoc dextrum, illud sinistrum latus, fteilita-’is.CÄulä, yocabiojuj.

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