. Properties of the Conic Sections; Deduced by a Compendious Method. Being a Work of the Late William Jones, Esq; F. R. S. Which He Formerly Communicated to Mr. John Robertson, Libr. R. S. Who Now Addresses It to the Reverend Nevil Maskelyne, F. R. S. Astronomer Royal. ond-ing parts are That is ^zzl^ = —zz^. /C CM PM rt 112. And CR,. cr, are paralld to p/, pf, and equal to CAvFor rt/= CTP =:rTF. 113. Let 5) = fine of the , orTPF; R = tabular ££=)^. t \/r ^ c c Put J sfine of the APCQ^, made by any diameter and its ordinate*,. f * (iO , ^^^ cc ~ ^-^ Sf £€
. Properties of the Conic Sections; Deduced by a Compendious Method. Being a Work of the Late William Jones, Esq; F. R. S. Which He Formerly Communicated to Mr. John Robertson, Libr. R. S. Who Now Addresses It to the Reverend Nevil Maskelyne, F. R. S. Astronomer Royal. ond-ing parts are That is ^zzl^ = —zz^. /C CM PM rt 112. And CR,. cr, are paralld to p/, pf, and equal to CAvFor rt/= CTP =:rTF. 113. Let 5) = fine of the , orTPF; R = tabular ££=)^. t \/r ^ c c Put J sfine of the APCQ^, made by any diameter and its ordinate*,. f * (iO , ^^^ cc ~ ^-^ Sf £€ ^ ~ rr X:I4. Let the parallels pfO, ci3r,/>/V be drawn,-^ cutting the curve in ij, g, mj andordinately applied to forne diameter (2t), vvhofe parameter is 2?r, and femi-conjugate c0 =z %, to which pr is ordinately applied at *. Then c^= f£!i:ir==ld:II!=)|. + i^r:|Pn=. f^z:) ^=.^==!f!.xi§% c$ =(|ACXPn=:) f ^ X^+a =z \^ac x ^=) —%» =—ssz*. 116. -rjjj — -^ — — — ^^_/j5^ -^ /i — a 117. PFn = -^^^ = i^X2s+%^ = ii^xpn,. 118. pn-x + Xir:--—-- = _--rr^xa^; CB [ 36o ] CB^z??zpizz±:tt ^//^ ^t hf/x/4-/s=: AF/irrvAurr/c^—cfg PMXC^.=:ANX^w=:^/XAL=:ACXF4>=://X = //x2Mr://X,^=//x!^=//X^=://X^^=://x am QQ^ Ar>a ^^^ DC TDC PMPO cm. zzAMa— FM/n FP/— RPr zr// x —^=;TT-f cc — // = —xzv>!^xx — ttzzlzv zt ^kzvffyy. FN x^ Lz:cD X TM irpD X tm—^-L X PM^zili X TthzzIL xfm ff ff :ti + cc— TTZztt CC H ff tt ^ r Ct I ACBl --. ^ zz~~XFM/ri--rrXMw = zifm +FM/r:BC +Rpr ff ff c^ • ^ /y __// , rr DC —* •:iJ^xx^ZL—yy-^r—xx-zz—. x PT . // CC // X)T CF /7 f^* // cczztt — tpzz-^xt—pzz-^ Xmmzzvpxxt p XX ^ ——? XFMfzz X //// =r—. X ft/z:— x NT«. ec -^ GO -^ CC -^ CC The femi-parameter (/>) to the greater axis (a^) is equal to . ^£f _yj^_CFG _/Cd^ PFn_FM X C^ AC AC AC AC ~Pn~ AC ?^,^R >^/^^ANX^»_ACXPM_ACX D1VI_,ACX PC PC PC PC CDXTM_PDX/«?_PTXPN___ // PM*_f^ !*«?* PC ~ PC ^ pv ~rf PC *~// *pc* :^^/Jt=philtrans04
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Keywords: ., bookcentury1700, bookdecade1770, booksubjectproceed, bookyear1773
